text stringlengths 209 2.82k | label int64 0 1 |
|---|---|
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic dilogarithm; \(K\)-theory of fields; hyperbolic geometry; Dedekind function; polylogarithms; motivic complexes; Zagier's conjecture; curves; regulators; special values of \(L\)-functions; motivic Lie algebra; framed mixed Tate motives; hyperlogarithms A. Goncharov, \textit{Polylogarithms in arithmetic and geometry}, \textit{Proc. ICM}\textbf{1-2} (1995) 374. Zeta functions and \(L\)-functions of number fields, \(K\)-theory of global fields, Étale cohomology, higher regulators, zeta and \(L\)-functions (\(K\)-theoretic aspects), Applications of methods of algebraic \(K\)-theory in algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) Polylogarithms in arithmetic and geometry | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Vanishing cycles; Nongeneric pencils; Second Lefschetz; theorem; Monodromy; Variation map; Topology of polynomial functions Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants, Topological properties in algebraic geometry, Relations with arrangements of hyperplanes, Deformations of complex singularities; vanishing cycles Vanishing cycles of pencils of hypersurfaces. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Iwasawa theory; lambda invariants; Selmer groups of \(p\)-adic representations of Galois groups; idempotents in endomorphism rings; genera of algebraic curves; Iwasawa invariants; class groups of number fields Michel, A.: A look at kani's formulae via Iwasawa theory. J. algebra 179, 1-30 (1996) Iwasawa theory, Coverings of curves, fundamental group, Class numbers, class groups, discriminants, Arithmetic ground fields for curves A look at Kani's formulae via Iwasawa theory | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic apolar forms; fat points; generic forms; bound for the Hilbert function; ideal of functions vanishing at generic points; dimensions of spline functions; postulation; symbolic power; thin algebra; vanishing ideal A.V. Geramita: Inverse Systems of Fat Points: Waring's Problem, Secant Varieties of Veronese Varieties and Parameter Spaces for Gorenstein Ideals, The Curves Seminar at Queen's, Vol. X (Kingston, ON, 1995), pp. 2-114 (1996) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Forms of degree higher than two Inverse system of a symbolic power. III: Thin algebras and fat points | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic rational points; Diophantine approximation; Schmidt's subspace theorem; filtered linear series; Vojta's conjecture Rational points, Arithmetic varieties and schemes; Arakelov theory; heights, Heights, Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.), Divisors, linear systems, invertible sheaves On arithmetic general theorems for polarized varieties | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Beauville form; Fujiki invariant; irreducible hyperkähler manifold; locally symmetric variety of orthogonal type; period domain; Torelli theorem; modular form; cusp form; Weyl group; Zagier L-function; Cohen number; Siegel's formula V. Gritsenko, K. Hulek and G.\ K. Sankaran, Moduli spaces of irreducible symplectic manifolds, Compos. Math. 146 (2010), no. 2, 404-434. Moduli, classification: analytic theory; relations with modular forms, Sums of squares and representations by other particular quadratic forms, Other groups and their modular and automorphic forms (several variables), \(4\)-folds, Compact Kähler manifolds: generalizations, classification, Hyper-Kähler and quaternionic Kähler geometry, ``special'' geometry Moduli spaces of irreducible symplectic manifolds | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic rationality of function fields; field of invariants; action of finite group; non ramified Brauer group; rationality problems; Noether problem D. J. Saltman, ''Multiplicative field invariants,''J. Algebra,106, 221--238 (1987). Brauer groups of schemes, Arithmetic theory of algebraic function fields, Rational and unirational varieties, Galois cohomology, Transcendental field extensions, Group actions on varieties or schemes (quotients), Geometric invariant theory, Separable extensions, Galois theory Multiplicative field invariants | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic quasi-projective manifolds; relative \(K\)-theory; holomorphic bundles; characteristic classes; Hodge-Deligne cohomology; Chern-Simons forms; Riemann-Roch theorem; vector bundles; complex analytic manifold; Deligne-Beilinson cohomology; moduli spaces of vector bundles Relations of \(K\)-theory with cohomology theories, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Riemann-Roch theorems, Chern characters, Riemann-Roch theorems, Transcendental methods, Hodge theory (algebro-geometric aspects), Transcendental methods of algebraic geometry (complex-analytic aspects), Algebraic moduli problems, moduli of vector bundles Proof of Nadel's conjecture and direct image for relative \(K\)-theory | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic cubic plane curves; Fermat's last theorem; quantum field theories; elliptic integrals; elliptic functions; elliptic curves; moduli theory; nonlinear partial differential equations; soliton theory; strings; integrable Hamiltonian systems; Abel's theorem; diophantine equations; Mordell's theorem; algebraic equations of degree five; Tschirnhaus transformation; Bring equation; theta functions; quintic algebraic equations; introductory text V. Prasolov and Y. Solovyev 1997 \textit{Elliptic Functions and Elliptic Integrals} (American Mathematical Society) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to special functions, Elliptic curves over global fields, Elliptic curves, Elliptic functions and integrals Elliptic functions and elliptic integrals. Transl. from the orig. Russian manuscript by D. Leites | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic proof of Mordell conjecture; proof of Shafarevich conjecture; proof of Tate conjecture; modular height of abelian variety; Tate module of abelian variety; finiteness theorem for principally polarized abelian varieties Faltings, G., Endlichkeitssätze für abelsche Varietäten über Zahlkörpern, Invent. Math., 73, 349-366, (1983) Arithmetic ground fields for abelian varieties, Rational points, Arithmetic varieties and schemes; Arakelov theory; heights, Global ground fields in algebraic geometry, Abelian varieties of dimension \(> 1\), Higher degree equations; Fermat's equation Finiteness theorems for abelian varieties over number fields. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic elliptic curve; finite characteristic; Weierstraß \(\zeta\)-function; addition theorem; logarithmic derivative of the Mazur-Tate \(\sigma\)-function; Tate curve; universal vectorial extension Elliptic curves over local fields, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Local ground fields in algebraic geometry An analogue of the Weierstrass \(\zeta\)-function in characteristic \(p\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic smooth curve in characteristic \(p\); automorphism; lift of curve Obus, A.: The (local) lifting problem for curves. In: Galois-Teichmüller Theory and Arithmetic Geometry. Advanced Studies in Pure Mathematics, vol.\ 63, pp.~359--412. Mathematical Society of Japan, Tokyo (2012) Automorphisms of curves, Separable extensions, Galois theory, Curves over finite and local fields, Positive characteristic ground fields in algebraic geometry, Inseparable field extensions, Galois theory and commutative ring extensions, Coverings of curves, fundamental group The (local) lifting problem for curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Bezout theorem; complete intersections; analytic varieties; Grassmannian of q-dimensional subspaces; plurisubharmonic function; pluripolar set Integral geometry, Analytic subsets and submanifolds, Complete intersections Integral geometry of the Monge-Ampère operator | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Hilbert sequence of a reduced algebra; algorithm for constructing Hilbert function; configuration of points Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Configurations and arrangements of linear subspaces, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series \(k\)-configurations in \(\mathbb{P}^3\) all have extremal resolutions. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Galois cohomology; theorem of Tate and Poitou; duality; one variable function field; quasi-finite field Douai, J. C.: Le théorème de Tate-poitou pour LES corps de fonctions des courbes. Comm. algebra 15, No. 11, 2379-2390 (1987) Galois cohomology, Algebraic functions and function fields in algebraic geometry, Power series rings, Arithmetic theory of algebraic function fields, Class field theory Le théorème de Tate-Poitou pour les corps de fonctions des courbes définies sur les corps de séries formelles en une variable sur un corps algébriquement clos. (The Tate-Poitou theorem for the function fields of curves defined on the fields of formal series in one variable over an algebraically closed field) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Artin's approximation theorem; hypersurface with an isolated singular point; \(\beta\)-function; Milnor number; multiplicity of the singular point Lejeune-Jalabert, M, Courbes tracées sur un germe D'hypersurface, Am. J. Math., 112, 525-568, (1990) Local deformation theory, Artin approximation, etc., Singularities of surfaces or higher-dimensional varieties Curves drawn on a hypersurface germ. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Riemann-Roch theorem for weakly equivariant algebraic \({\mathcal D}\)-modules; action of complex diagonalisable groups; invariant global filtration; Grothendieck groups R. Joshua, Riemann Roch for equivariant \(\mathfrak D\)-modules. I , Math. Z. 206 (1991), no. 1, 131-144. Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Riemann-Roch theorems, Group actions on varieties or schemes (quotients), Riemann surfaces; Weierstrass points; gap sequences Riemann-Roch for equivariant \({\mathcal D}\)-modules. I | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic special values of \(L\)-series; \(p\)-adic Hodge theory; partial \(L\)- functions; Iwasawa main conjecture for motives; Galois module structures; analytic zeta element K. Kato, Iwasawa theory and \(p\)-adic Hodge theory , Kodai Math. J. 16 (1993), 1--31. Iwasawa theory, Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols, Generalizations (algebraic spaces, stacks), Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Zeta functions and \(L\)-functions of number fields, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture Iwasawa theory and \(p\)-adic Hodge theory | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic hypersurfaces; local cohomology; Jacobian ideal; logarithmic vector fields; logarithmic differential forms; free divisors; Hodge decomposition; Torelli type theorems; Macaulay's theorem; stable vector bundles; arrangements of hyperplanes Sernesi, E., The local cohomology of the Jacobian ring, Documenta Mathematica, 19, 541-565, (2014) Hypersurfaces and algebraic geometry, Local cohomology and algebraic geometry, Torelli problem, Local complex singularities, Mixed Hodge theory of singular varieties (complex-analytic aspects) The local cohomology of the Jacobian ring | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic semisimplicity of pure sheaves; finite ground field; Frobenius automorphism; semisimplicity of the Galois representations of function fields Lei Fu, On the semisimplicity of pure sheaves, Proc. Amer. Math. Soc. 127 (1999), no. 9, 2529 -- 2533. Finite ground fields in algebraic geometry, Étale and other Grothendieck topologies and (co)homologies, Galois theory On the semisimplicity of pure sheaves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Fermat curves; Brumer-Stark conjecture for function fields; Artin- Schreier curves Coleman, R.: On the Frobenius endomorphisms of the Fermat and Artin--Schreier curves. In: The Arithmetic of Function Fields. Proc. Amer. Math Soc, vol. 102, pp. 463--466 (1988) Arithmetic ground fields for curves, Finite ground fields in algebraic geometry, Zeta functions and \(L\)-functions of number fields, Local ground fields in algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) On the Frobenius endomorphisms of Fermat and Artin-Schreier curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Conjugate substitution; prime number; system of invariant function; values Algebraic functions and function fields in algebraic geometry, Linear transformations, semilinear transformations, Primes, Real-analytic manifolds, real-analytic spaces, Morphisms of commutative rings, Vector and tensor algebra, theory of invariants On the substitutions of the form \(\theta(r)\equiv\varepsilon(r^{n 2}+ar^{\frac{n 3}{2}})\) for a prime number of letters. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic power series over fields of positive characteristic; automatic sequences; Mordell-Lang conjecture over positive characteristic; S-unit equations over positive characteristic Speyer, D.: Christol's theorem and the Cartier operator, blog post of 11 Feb 2010, downloaded August 2015. https://sbseminar.wordpress.com/2010/02/11/ Automata sequences, Arithmetic algebraic geometry (Diophantine geometry), Exponential Diophantine equations, Positive characteristic ground fields in algebraic geometry On vanishing coefficients of algebraic power series over fields of positive characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic generic Torelli theorem for projective hypersurfaces; generic injectivity of the period map; variational Schottky problem for curves Donagi, R., 'Generic Torelli and variational Schottky', in Topics in Transcendental Algebraic Geometry (ed. P. Griffiths), Ann. of Math. Studies 106, Princeton Univ., Princeton, N.J., 1984, pp. 239--258. Transcendental methods, Hodge theory (algebro-geometric aspects), Picard schemes, higher Jacobians, Period matrices, variation of Hodge structure; degenerations Generic Torelli and variational Schottky | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Iwasawa theorem on annihilation of class group; arithmetic of CM-fields; CM-varieties; Grössencharacters; \(\mathbb Q\)-varieties; Jacobian of the Fermat-curve; Jacobi sums Schmidt C.-G., Lecture Notes in Mathematics 1082, in: Arithmetik Abelscher Varietäten mit komplexer Multiplikation (1984) Complex multiplication and abelian varieties, Jacobians, Prym varieties, Algebraic moduli of abelian varieties, classification, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Arithmetic ground fields for abelian varieties, Abelian varieties of dimension \(> 1\), Complex multiplication and moduli of abelian varieties Arithmetik Abelscher Varietäten mit komplexer Multiplikation | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Nash Tognoli theorem; approximation by real algebraic subsets; smooth submanifolds; projections of real algebraic varieties Real algebraic and real-analytic geometry, Real-analytic and Nash manifolds, Real-analytic manifolds, real-analytic spaces, Embeddings in algebraic geometry, Embeddings in differential topology Improvement of the Nash-Tognoli theorem | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic positive polynomials; sums of squares; even powers of linear forms; volume of convex bodies; Blaschke Santalo inequality; Kellog's theorem; Gegenbauer polynomials; gauge function G. Blekherman, \textit{There are significantly more nonnegative polynomials than sums of squares}, Israel J. Math., 153 (2006), pp. 355--380. Real algebraic sets, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Mixed volumes and related topics in convex geometry, Inequalities and extremum problems involving convexity in convex geometry, Integral geometry There are significantly more nonnegative polynomials than sums of squares | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic quantum optics; two-level atom; atomic inversion; JCP model; approximation; functional equation for Jacobi theta functions; ATS theorem Quantum optics, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, Theta functions and curves; Schottky problem Application of the Jacobi functional equation and the ATS theorem in a quantum optical model | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic full level-N problem; elliptic curves; moduli scheme at infinity; characteristic p; Igusa curves; good-reduction theorem for Jacobians 26. Katz, Nicholas M. and Mazur, Barry \textit{Arithmetic moduli of elliptic curves}Annals of Math. Studies, vol. 108, Princeton Univ. Press, Princeton, NJ, 1985 Math Reviews MR772569 Families, moduli of curves (algebraic), Research exposition (monographs, survey articles) pertaining to algebraic geometry, Fine and coarse moduli spaces, Elliptic curves, Algebraic moduli problems, moduli of vector bundles, Modular and automorphic functions, Special algebraic curves and curves of low genus Arithmetic moduli of elliptic curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Brauer group of algebraic surface; Brauer group of function field; characteristic p Finite ground fields in algebraic geometry, Brauer groups of schemes, Surfaces and higher-dimensional varieties On a remark of Grothendieck | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic function fields; finite fields; towers of function fields; Artin-Schreier extensions of function fields Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Thue-Mahler equations, Finite ground fields in algebraic geometry A class of Artin-Schreier towers with finite genus | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic recursive towers of function fields over finite fields; elliptic modular curves Algebraic functions and function fields in algebraic geometry, Finite ground fields in algebraic geometry, Modular and Shimura varieties, Compact Riemann surfaces and uniformization, Families, moduli of curves (analytic) Towers of function fields over finite fields corresponding to elliptic modular curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Diophantine geometry; abelian varieties; Roth theorem; heights of points of varieties; Mordell-Weil theorem; Severi-Néron theorem; Thue-Siegel-Roth theorem; Siegel's theorem; Hilbert's irreducibility theorem Lang, S.: Diophantine Geometry. New York: John Wiley \& Sons. 1962. Arithmetic algebraic geometry (Diophantine geometry), Arithmetic problems in algebraic geometry; Diophantine geometry, Research exposition (monographs, survey articles) pertaining to number theory, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Abelian varieties of dimension \(> 1\), Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Arithmetic ground fields for abelian varieties, Higher degree equations; Fermat's equation, Rational points, Hilbertian fields; Hilbert's irreducibility theorem Diophantine geometry | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic general topology in the context of semi-algebraic spaces over; arbitrary real closed fields; CW-complexes; weakly semialgebraic spaces; homotopy; Homology; cohomology; Simplicial spaces; general topology in the context of semi-algebraic spaces over arbitrary real closed fields Knebusch M., Weakly Semialgebraic Spaces (1989) Real algebraic and real-analytic geometry, Topological properties in algebraic geometry, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Other homology theories in algebraic topology, Homotopy theory Weakly semialgebraic spaces | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic conductor of an arithmetic surface; torsion of the de Rham complex; functional equation for the Hasse-Weil zeta-function DOI: 10.1215/S0012-7094-87-05417-2 de Rham cohomology and algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Arithmetic ground fields for surfaces or higher-dimensional varieties, Global ground fields in algebraic geometry De Rham cohomology and conductors of curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic exponential sums; Weil's Riemann hypothesis; zeta functions; curves; function fields in one variable Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) Curves, function fields and the Riemann hypothesis | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic configuration; Gröbner basis of a polynomial ideal; computation of minimum degree for final polynomials; Desargues theorem B. Sturmfels, Computational algebraic geometry of projective configurations, Journal of Symbolic Computation, 1993, 11: 595--618. Computational aspects of algebraic surfaces, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Analysis of algorithms and problem complexity Computational algebraic geometry of projective configurations | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic prime Galois coverings of \({\mathbb P}_ 1\); Riemann surface; hyperelliptic curves; theta functions; period matrix; Teichmüller space; lambda function; moduli spaces; normality; rationality González-Díez, G.: Loci of curves which are prime Galois coverings of \(P^1\). Proc. London Math. Soc. (3) 62 (1991), 469-489. Families, moduli of curves (analytic), Families, moduli of curves (algebraic), Riemann surfaces; Weierstrass points; gap sequences, Theta functions and abelian varieties, Period matrices, variation of Hodge structure; degenerations Loci of curves which are prime Galois coverings of \({\mathbb{P}}^ 1\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic automorphic representation; Deligne conjecture; Langlands correspondence; Poincaré function; Hecke algebra; cuspidal spectrum; trace formula; characteristic morphism; Drinfeld modular variety; \(\ell\)-adic cohomology; intersection cohomology; Satake compactification; rationality results; Grothendieck group of admissible representations; reduction theory; orbital integrals Laumon, Gérard, Cohomology of Drinfeld modular varieties. Part II, Cambridge Studies in Advanced Mathematics 56, xii+366 pp., (1997), Cambridge University Press, Cambridge Modular and Shimura varieties, Drinfel'd modules; higher-dimensional motives, etc., Global ground fields in algebraic geometry, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Arithmetic theory of algebraic function fields, Formal groups, \(p\)-divisible groups, Research exposition (monographs, survey articles) pertaining to number theory Cohomology of Drinfeld modular varieties. Part II: Automorphic forms, trace formulas and Langlands correspondence. With an appendix by Jean-Loup Waldspurger | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic algebraic-geometric codes; lattices; towers of function fields; hypergeometric analogs; theta series identities Solé, P.: Towers of function fields and iterated means. IEEE trans. Inform. theory 46, 1532-1535 (2000) Geometric methods (including applications of algebraic geometry) applied to coding theory, Applications to coding theory and cryptography of arithmetic geometry Towers of function fields and iterated means | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic number of solutions of \(S\)-unit equations; explicit version of the product theorem; Roth's lemma; approximation of algebraic numbers by rationals; quantitative subspace theorem; number of solutions of norm form equations J.-H. Evertse, An explicit version of Faltings' product theorem and an improvement of Roth's lemma. Acta Arith. 73 (1995), 215-248. Zbl0857.11034 MR1364461 Approximation to algebraic numbers, Abelian varieties of dimension \(> 1\), Algebraic theory of abelian varieties, Multiplicative and norm form equations An explicit version of Faltings' product theorem and an improvement of Roth's lemma | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic linkage; vanishing theorem for the cohomology of arithmetically Buchsbaum curves; set theoretic intersection of three hypersurfaces Ellia Ph., Fiorentini M., Quelques remarques sur les courbes arithmétiquement Buchsbaum de l'espace projectif, Ann. Univ. Ferrara Sez. VII, 1987, 33, 89--111 Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Special algebraic curves and curves of low genus, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) Quelques remarques sur les courbes arithmétiquement Buchsbaum de l'espace projectif. (Some remarks on the arithmetically Buchsbaum curves of the projective space) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Chern character; invariants of flat bundles; regulators; multiplicative \(K\)-theory; secondary characteristic classes; foliations; complex structures; transverse forms of foliations; Hodge filtration on a complex manifold; multiplicative \(G\)-bundle; filtered manifold; foliated vector bundles; truncated Weil algebras; holomorphic bundle with a partially holomorphic metric connection; complex algebraic bundles; complex algebraic manifolds; Hodge-Deligne filtrations; Chern-Cheeger-Simons invariant; cohomology of Deligne-Belinson; differential characters DOI: 10.1007/BF00961455 Characteristic classes and numbers in differential topology, Classifying spaces for foliations; Gelfand-Fuks cohomology, de Rham cohomology and algebraic geometry, \(K\)-theory and homology; cyclic homology and cohomology, Transcendental methods, Hodge theory (algebro-geometric aspects), Topological \(K\)-theory, Holomorphic fiber spaces Characteristic classes of holomorphic or algebraic foliated fiber bundles. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic characteristic \(p\); unipotent part of Jacobian; group of rational torsion points; Chevalley's theorem; curve of genus two Penniston, D, Unipotent groups and curves of genus two, Math. Ann., 317, 57-78, (2000) Jacobians, Prym varieties, Special algebraic curves and curves of low genus, Singularities of curves, local rings, Finite ground fields in algebraic geometry Unipotent groups and curves of genus two | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic algebraic function fields; arithmetic theory of correspondences Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry Arithmetische Theorie der Korrespondenzen algebraischer Funktionenkörper. I | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic function fields; derivatives of \(L\)-functions; moments of \(L\)-functions; quadratic Dirichlet \(L\)-functions; random matrix theory Other Dirichlet series and zeta functions, Arithmetic theory of algebraic function fields, Relations with random matrices, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) Mean values of derivatives of \(L\)-functions in function fields. II. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Galois group; inverse Galois theory; Mathieu groups; finite simple groups; embedding problems; rigidity method; Hilbertian fields; function fields; absolute Galois group; generating polynomials of Galois groups Research exposition (monographs, survey articles) pertaining to field theory, Inverse Galois theory, Separable extensions, Galois theory, Galois cohomology, Rigid analytic geometry Inverse Galois theory | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic cubic surfaces; rational surfaces; mimimal model program; reduction to prime characteristic; non-rationality; singularities of pairs János Kollár, Karen E. Smith & Alessio Corti, Rational and nearly rational varieties, Cambridge Studies in Advanced Mathematics 92, Cambridge University Press, 2004 Rational and unirational varieties, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Rationality questions in algebraic geometry, Rational and ruled surfaces, Hypersurfaces and algebraic geometry, \(n\)-folds (\(n>4\)), Singularities of surfaces or higher-dimensional varieties Rational and nearly rational varieties | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Baker-Akhiezer (BA) module; BA function; genus \(g\) algebraic curve; ring of differential operators in \(g\) variables; principally polarized Abelian variety; non-singular theta divisor; evolution equations Cho, K.; Mironov, A.; Nakayashiki, A., Baker-Akhiezer modules on the intersections of shifted theta divisors, Publ. Res. Inst. Math. Sci., 47, 2, 553-567, (2011) Theta functions and abelian varieties, Relationships between algebraic curves and integrable systems, Singularities of curves, local rings, Theta functions and curves; Schottky problem, Compact Riemann surfaces and uniformization, Applications of deformations of analytic structures to the sciences Baker-Akhiezer modules on the intersections of shifted theta divisors | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic multidimensional difference equations; Cauchy problem; generating function; Newton polyhedron of characteristic polynomial; rational cone Difference equations in the complex domain, Exact enumeration problems, generating functions, Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.), Toric varieties, Newton polyhedra, Okounkov bodies, Enumerative problems (combinatorial problems) in algebraic geometry Generating function of the solution of a difference equation and the Newton polyhedron of the characteristic polynomial | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic global function fields; rational places; curves over finite fields; asymptotic measure of \(\mathbb{F}_q\)-rational points; class field towers; codes; Gilbert-Varshamov bound Niederreiter, H.; Xing, C., Towers of global function fields with asymptotically many rational places and an improvement on the Gilbert-varshamov bound, Math. Nachr., 195, 171-186, (1998) Curves over finite and local fields, Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Algebraic coding theory; cryptography (number-theoretic aspects), Finite ground fields in algebraic geometry, Geometric methods (including applications of algebraic geometry) applied to coding theory, Bounds on codes Towers of global function fields with asymptotically many rational places and an improvement on the Gilbert-Varshamov bound | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic rationally simply connected varieties; projective homogeneous spaces; rational points; function fields of algebraic surfaces Fibrations, degenerations in algebraic geometry, Homogeneous spaces and generalizations, Rationally connected varieties, Stacks and moduli problems Homogeneous space fibrations over surfaces | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Birch--Swinnerton-Dyer conjecture; Heegner points of modular curves; lower bound for class numbers of imaginary quadratic fields Benedict Gross and Don Zagier, Points de Heegner et dérivées de fonctions \?, C. R. Acad. Sci. Paris Sér. I Math. 297 (1983), no. 2, 85 -- 87 (French, with English summary). \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Holomorphic modular forms of integral weight, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Arithmetic ground fields for abelian varieties, Class numbers, class groups, discriminants, Quadratic extensions Heegner points and derivatives of \(L\)-functions | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Bernoulli numbers; function field of one variable; Von Staudt-Clausen type decomposition theorem Chip Snyder, A concept of Bernoulli numbers in algebraic function fields, J. Reine Angew. Math. 307/308 (1979), 295 -- 308. Arithmetic theory of algebraic function fields, Bernoulli and Euler numbers and polynomials, Algebraic numbers; rings of algebraic integers, Algebraic functions and function fields in algebraic geometry, Elliptic curves A concept of Bernoulli numbers in algebraic function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Langlands correspondence; Ramanujan-Petersson conjecture for function fields; higher rank vector bundles; \({\mathcal D}\)-elliptic sheaves; \({\mathcal D}\)-shtukas; representability; algebraic stack; reducibility; Lefschetz numbers; Arthur-Selberg trace formula Lafforgue, L., Chtoucas de Drinfeld et conjecture de Ramanujan-Petersson, Astérisque, 243, (1997), ii + 329 p Drinfel'd modules; higher-dimensional motives, etc., Representation-theoretic methods; automorphic representations over local and global fields, Global ground fields in algebraic geometry, Formal groups, \(p\)-divisible groups, Langlands-Weil conjectures, nonabelian class field theory, Spectral theory; trace formulas (e.g., that of Selberg), Arithmetic theory of algebraic function fields Drinfeld's `shtukas' and the Ramanujan-Petersson conjecture | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Baker's method; lower bound for linear forms in logarithms of algebraic numbers; relative logarithmic Weil height; Kummer descent; extrapolation technique Baker, A.; Wüstholz, G., Logarithmic forms and group varieties, J. Reine Angew. Math., 442, 19-62, (1993) Linear forms in logarithms; Baker's method, Group varieties Logarithmic forms and group varieties | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic algebraic groups; homogeneous varieties; prime points; three primes theorem; Pfaffian; permanent; quadratic forms; linear equations in primes Goldbach-type theorems; other additive questions involving primes, Elliptic curves over global fields, Homogeneous spaces and generalizations Prime points in orbits: some instances of the Bourgain-Gamburd-Sarnak conjecture | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic extended coset leader weight enumerator; generalized Reed-Solomon code; twisted cubic; classification of lines in three space over finite fields Applications to coding theory and cryptography of arithmetic geometry, Synchronization error-correcting codes, Finite ground fields in algebraic geometry, General theory of linear incidence geometry and projective geometries The extended coset leader weight enumerator of a twisted cubic code | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic anabelian geometry; Milnor \(K\)-theory; function field; algebraic dependence; fundamental theorem of projective geometry; Bloch-Kato conjecture; Bass-Tate conjecture; Bertini theorem Higher symbols, Milnor \(K\)-theory, Field extensions, \(K\)-theory of global fields, Arithmetic theory of algebraic function fields, Applications of methods of algebraic \(K\)-theory in algebraic geometry Reconstructing function fields from Milnor \(K\)-theory | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic geometric Goppa codes; generalized algebraic geometry codes; code automorphisms; automorphism groups of function fields; algebraic function fields Applications to coding theory and cryptography of arithmetic geometry, Geometric methods (including applications of algebraic geometry) applied to coding theory, Automorphisms of curves, Algebraic functions and function fields in algebraic geometry On the automorphisms of generalized algebraic geometry codes | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Chebotarev's theorem; Galois covering; smooth projective curves; function field; number of unramified points; Frobenius conjugacy class Kumar Murty, Vijaya; Scherk, John, Effective versions of the Chebotarev density theorem for function fields, C. R. Acad. Sci. Paris Sér. I Math., 319, 6, 523-528, (1994) Arithmetic theory of algebraic function fields, Density theorems, Algebraic functions and function fields in algebraic geometry, Curves over finite and local fields Effective versions of the Chebotarev density theorem for function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic fields of moduli; action of automorphism of reflex field on the torsion points; Abelian varieties with many complex multiplications; Abelian variety; cyclotomic fields; primes of good reduction; prime ideal decomposition of the endomorphism; Frobenius map; Riemann forms; field of definition; rank of a CM type; Langlands' conjecture; size of the Galois group of torsion points S. Lang, Complex multiplication. Berlin-Heidelberg-NewYork (1983). Zbl0536.14029 MR713612 Complex multiplication and abelian varieties, Complex multiplication and moduli of abelian varieties, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to number theory, Class field theory, Algebraic moduli of abelian varieties, classification, Arithmetic problems in algebraic geometry; Diophantine geometry, Class field theory; \(p\)-adic formal groups, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Algebraic moduli problems, moduli of vector bundles Complex multiplication | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic monads; higher Chow complex; operads; unital \(k\)-algebras; little \(n\)-cubes operad; tensor category; braid algebras; mixed Tate motives; symmetric monoidal category; operad of spaces; iterated loop spaces; higher Chow groups; Adams operations; derived category; integral mixed Tate modules; derived categories of modules; DGA; triangulated category; Tannakian category; Hopf algebra; co-Lie algebra; Beilinson-Soulé conjecture; operadic tensor product; cellular approximation theorem Kriz, I.; May, J. P., Operads, algebras, modules and motives, Astérisque, 233, (1995), iv+145 pp Research exposition (monographs, survey articles) pertaining to category theory, Applied homological algebra and category theory in algebraic topology, Research exposition (monographs, survey articles) pertaining to \(K\)-theory, Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects), Homological algebra in category theory, derived categories and functors, Higher algebraic \(K\)-theory, \(K\)-theory in geometry, Generalizations (algebraic spaces, stacks) Operads, algebras, modules and motives | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Singularities; Complex analytic geometry; Proceedings; Symposium; Kyoto; RIMS; singularities in complex analytic geometry; complex affine root system; quartic surfaces of elliptic ruled type; bimeromorphic geometry of Gorenstein singularities; Torus embedding; cusp singularities; geometric genus; complex analytic foliation; Deligne, Gabber, Beilinson-Bernstein type theorem; singularities of nilpotent manifold; bifurcation set; Milnor number; quasi homogeneous polynomial; mapping singularities; Morse inequality Proceedings, conferences, collections, etc. pertaining to several complex variables and analytic spaces, Complex singularities, Local complex singularities, Proceedings of conferences of miscellaneous specific interest, Singularities in algebraic geometry, Singularities of surfaces or higher-dimensional varieties Singularities in complex analytic geometry. Proceedings of a Symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, June 30-July 3, 1982 | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic algebraic function field; tower of function fields; tensor rank; algorithm; finite field Pieltant, Julia; Randriam, Hugues, New uniform and asymptotic upper bounds on the tensor rank of multiplication in extensions of finite fields, Math. Comp., 0025-5718, 84, 294, 2023-2045, (2015) Algebraic functions and function fields in algebraic geometry, Number-theoretic algorithms; complexity, Finite fields (field-theoretic aspects) New uniform and asymptotic upper bounds on the tensor rank of multiplication in extensions of finite fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic anisotropic quadratic forms; function fields of quadrics; Chow groups Karpenko, N., \textit{on the first Witt index of quadratic forms}, Invent. Math., 153, 455-462, (2003) Algebraic theory of quadratic forms; Witt groups and rings, Algebraic cycles, Quadratic forms over general fields On the first Witt index of quadratic forms | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic algorithms in algebra; Gröbner bases; primary decomposition; syzygies; integral closure; degree of complexity; computation of cohomology; ideal transform; ring of invariants; Nullstellensätze; Macaulay; Hilbert function; radical; Jacobian ideal; computational aspects; JFM 52.0127.01 Vasconcelos, W.V.: Computational methods in commutative algebra and algebraic geometry. With chapters by David Eisenbud. Daniel R, Grayson, Jürgen Herzog and Michael Stillman, volume 2 of Algorithms and Computation in Mathematics. Springer, Berlin (1998) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Computational aspects in algebraic geometry, Computational aspects and applications of commutative rings, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to commutative algebra, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Multiplicity theory and related topics, Transcendental field extensions, Relevant commutative algebra Computational methods of commutative algebra and algebraic geometry. With chapters by David Eisenbud, Daniel R. Grayson, Jürgen Herzog and Michael Stillman | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic K3 surface over a finite field; Tate's conjecture on algebraic cycles; order of pole of zeta function; crystalline deformation theory; quasi-canonical varieties over p-adic fields; equicharacteristic deformations of abstract F-crystals Nygaard, Niels; Ogus, Arthur, Tate's conjecture for \(K3\) surfaces of finite height, Ann. of Math. (2), 0003-486X, 122, 3, 461-507, (1985) Cycles and subschemes, \(p\)-adic cohomology, crystalline cohomology, Special surfaces, Finite ground fields in algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Arithmetic ground fields for surfaces or higher-dimensional varieties, Transcendental methods of algebraic geometry (complex-analytic aspects) Tate's conjecture for \(K3\) surfaces of finite height | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic completely real algebraic variety; number of points in hypersurface; intersection; Bezout theorem Real algebraic and real-analytic geometry, Real-analytic manifolds, real-analytic spaces A Bezout theorem in real algebraic geometry | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic varieties; finite fields; small solutions of congruences; systems of forms; points in boxes; system of congruences Forms of degree higher than two, Finite ground fields in algebraic geometry, Quadratic forms over general fields, Trigonometric and exponential sums (general theory), Diophantine equations in many variables Counting points in a small box on varieties | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic group of rational points; maximal anticyclotomic extension; elliptic curve; complex multiplication; L-function; Thue-Siegel-Roth theorem Rohrlich, D. E., \textit{on \textit{L}-functions of elliptic curves and anticyclotomic towers}, Invent. Math., 75, 383-408, (1984) \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Iwasawa theory, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) On \(L\)-functions of elliptic curves and anticyclotomic towers | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic hyperplane arrangements; Torelli theorem; unstable hyperplanes; Dolgachev sheaf of logarithmic differentials; logarithmic vector fields; stable curves Faenzi, Daniele; Matei, Daniel; Vallès, Jean, Hyperplane arrangements of Torelli type, Compos. Math., 149, 2, 309-332, (2013) Torelli problem, Arrangements of points, flats, hyperplanes (aspects of discrete geometry), Relations with arrangements of hyperplanes Hyperplane arrangements of Torelli type | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Euler characteristic; irreducible component of reduced algebraic curve; virtual singularity theorem; Miyaoka-Yau inequality Kojima, H.: On veys' conjecture. Indag. math. 10, 537-538 (1999) Special algebraic curves and curves of low genus, Topological properties in algebraic geometry On Veys' conjecture. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic plane curve singularity; Artin-Greenberg function; value semigroup; tree of contacts; multiplicity; Puiseux expansions; characteristic exponents Singularities of curves, local rings, Plane and space curves, Computational aspects of algebraic curves, Local complex singularities The Artin-Greenberg function of a plane curve singularity | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic number fields; anabelian geometry; Neukirch-Uchida theorem; densities of primes; stable sets of primes Galois cohomology, Class field theory, Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) On a generalization of the Neukirch-Uchida theorem | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic p-adic height pairings; heights of abelian varieties; p-adic L-series; Birch--Swinnerton-Dyer formula for the Iwasawa L-function Schneider, P., \textit{ \textit{p}-adic height pairings. II}, Invent. Math., 79, 329-374, (1985) Arithmetic ground fields for abelian varieties, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Abelian varieties of dimension \(> 1\), \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture \(p\)-adic height pairings. II | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic rational points over complex function fields; rationally connected manifolds; special manifolds; manifolds of general type Local theory in algebraic geometry, Rationality questions in algebraic geometry, Other nonalgebraically closed ground fields in algebraic geometry, Rationally connected varieties Rational points over complex function fields: remarks on isotriviality and dominatedness | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Brauer groups; curves over local fields; \(p\)-adic curves; field extensions; resolutions of singularities; algebraic function fields; curves over rings of integers of \(p\)-adic fields Saltman, D. J., Division algebras over \(p\)-adic curves, J. Ramanujan Math. Soc., 12, 25-47, (1997) Finite-dimensional division rings, Curves over finite and local fields, Arithmetic ground fields for curves, Brauer groups of schemes, Skew fields, division rings, Algebras and orders, and their zeta functions, Singularities of curves, local rings, Algebraic functions and function fields in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Local ground fields in algebraic geometry Division algebras over \(p\)-adic curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic absolute Galois groups; function fields of one variable; anabelian geometry F. Pop, ''On Grothendieck's conjecture of birational anabelian geometry,'' Ann. of Math., vol. 139, iss. 1, pp. 145-182, 1994. Algebraic functions and function fields in algebraic geometry, Galois theory, Global ground fields in algebraic geometry On Grothendieck's conjecture of birational anabelian geometry | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic regular ring; global dimension; regularity for non-commutative rings; ring of differential operators; normal toric algebra; conic module; complete conic module; projective resolution; non-commutative resolution; non-commutative crepant resolution; simplicial algebra; chambers of constancy; hyperplane arrangement; acyclicity Lemma; Frobenius map; Kunz's Theorem; F-regularity; minimal model program; rational singularities Cohen-Macaulay modules, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Homological dimension in associative algebras, Rings of differential operators (associative algebraic aspects), Noncommutative algebraic geometry Non-commutative resolutions of toric varieties | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic equidistribution; Riemann hypothesis for function fields R.W.K. Odoni , P.G. Spain , Equidistribution of values of rational functions (mod p) . Proc. R. Soc. Edinb . Sect. A 125 ( 1995 ), 911 - 929 . MR 1361624 | Zbl 0838.11077 Arithmetic theory of algebraic function fields, Distribution modulo one, Finite ground fields in algebraic geometry, Exponential sums Equidistribution of values of rational functions \(\pmod p\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic tower of function fields; finite field; Artin-Schreier extension A. Garciaand H. Stichtenoth. Some Artin-Schreier towers are easy. Mosc.Math. J., 5 (2005), 767--774. Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Thue-Mahler equations, Finite ground fields in algebraic geometry Some Artin-Schreier towers are easy | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic topological spaces with involution; level; colevel; sublevel; affine varieties; Hopf problem; equivariant maps; Stiefel manifolds; Borsuk-Ulam theorem; topology of spheres; arithmetic of sums of squares in rings; quadratic forms; Pythagoras number; invariants; Radon-Hurwitz number; isotropic form; ring of continuous functions; anisotropic form Dai Z.D., Lam T.Y.: Levels in algebra and topology. Comment. Math. Helv. 59, 376--424 (1984) Algebraic theory of quadratic forms; Witt groups and rings, Research exposition (monographs, survey articles) pertaining to algebraic topology, Real algebraic and real-analytic geometry, Special properties of topological spaces, Homology and cohomology theories in algebraic topology, Homotopy theory Levels in algebra and topology | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Tower of function fields; Genus; Rational places A. Garcia and H. Stichtenoth, Explicit towers of function fields over finite fields, In Topics in geometry, coding theory and cryptography , volume 6 of Algebr. Appl. , pages 1-58, Springer, Dordrecht, 2007. Arithmetic theory of algebraic function fields, Applications to coding theory and cryptography of arithmetic geometry, Cryptography Explicit towers of function fields over finite fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic genus; towers of function fields; asymptotically bad towers Arithmetic theory of algebraic function fields, Curves over finite and local fields, Algebraic functions and function fields in algebraic geometry Asymptotically bad towers of function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Towers of function fields; congruence function fields; genus; rational places; limits of towers; Zink's bound; cubic finite fields; Artin--Schreier extensions; Drinfeld--Vlăduţ bound; Hasse--Weil bound. Bezerra, J.; Garcia, A.; Stichtenoth, H.: An explicit tower of function fields over cubic finite fields and Zink's lower bound for \(A(q3)\). J. reine angew. Math. 589, 159-199 (2005) Arithmetic theory of algebraic function fields, Curves over finite and local fields, Modular and Shimura varieties, Rational points An explicit tower of function fields over cubic finite fields and Zink's lower bound | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic multiplicity estimates; product theorem; diophantine approximation; zero theorems; intersection theory [14] Michael Nakamaye, &Multiplicity estimates and the product theoremull. Soc. Math. France123 (1995) no. 2, p.~155Numdam | &MR~13 | &Zbl~0841. Transcendence (general theory), Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Group actions on varieties or schemes (quotients) Multiplicity estimates and the product theorem | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic ample divisor; tangential ramified marked covering; marked elliptic curve; elliptic solitons; theta divisor; Torelli-like theorem for compactified jacobians of tangential covers Armando Treibich, Compactified Jacobians of tangential covers, Integrable systems (Luminy, 1991) Progr. Math., vol. 115, Birkhäuser Boston, Boston, MA, 1993, pp. 39 -- 59. Jacobians, Prym varieties, Theta functions and curves; Schottky problem, Coverings in algebraic geometry, Theta functions and abelian varieties Compactified Jacobians of tangential covers | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Singlarity theory; semialgebraic sets; Artin's approximation theorem; finite determinacy; weighted homogeneous singularities; plane curve singularities; resolution of surface singularities A. Dimca, \textit{Topics on real and complex singularities: an introduction}, Advanced Lectures in Mathematics. Friedr. Vieweg & Sohn, Germany (1987). Singularities in algebraic geometry, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Differentiable maps on manifolds, Theory of singularities and catastrophe theory, Complex singularities, Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to several complex variables and analytic spaces, Local deformation theory, Artin approximation, etc., Introductory exposition (textbooks, tutorial papers, etc.) pertaining to global analysis Topics on real and complex singularities. An introduction | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic arithmetic varieties; Arakelov theory; finiteness theorem; Diophantine approximation; transcendental numbers L. SZPIRO , Sur les solutions d'un système d'équations polynomiales sur une variété abélienne (d'après G. FALTINGS and P. VOJTA ) (Séminaire N. Bourbaki, No. 729, June 1990 ). Numdam | Zbl 0746.14010 Rational points, Abelian varieties of dimension \(> 1\), Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Transcendence (general theory), Algebraic theory of abelian varieties On the solutions of a system of polynomial equations on an abelian variety [after G. Faltings and P. Vojta] | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic cohomological Hilbert-function; coherent sheaf; vanishing theorem; invariants of a sheaf; linear subdimension; hyperplane section Brodmann M, A priori bounds of Severi type for cohomological Hilbert function, J. Algebra 155 (1993) 298--324 Vanishing theorems in algebraic geometry, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series A priori bounds of Severi type for cohomological Hilbert-functions | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic quantum fields in curved spacetime; de Sitter; out of equilibrium quantum field theory Geometrodynamics and the holographic principle, Quantum field theory on curved space or space-time backgrounds, Compactifications; symmetric and spherical varieties, Quantum dynamics and nonequilibrium statistical mechanics (general), Minkowski geometries in nonlinear incidence geometry, Diffusive and convective heat and mass transfer, heat flow, Methods of global Riemannian geometry, including PDE methods; curvature restrictions, Propagation of singularities; initial value problems on manifolds Curved space equilibration versus flat space thermalization: a short review | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Calabi-Yau threefold; Picard number; classification; diophantine approximation for integral cubic forms D. R. Heath-Brown and P. M. H. Wilson, Calabi-Yau threefolds with \?>13, Math. Ann. 294 (1992), no. 1, 49 -- 57. \(3\)-folds, Moduli, classification: analytic theory; relations with modular forms Calabi-Yau threefolds with \(\rho > 13\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic smoothness for regular local rings; Serre's conjecture on intersection multiplicities; Artin's approximation theorem; Chow groups Dutta, S. P., \textit{A theorem on smoothness-bass-Quillen, Chow groups and intersection multiplicity of Serre}, Trans. Amer. Math. Soc., 352, 1635-1645, (2000) Homological conjectures (intersection theorems) in commutative ring theory, Regular local rings, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Étale and flat extensions; Henselization; Artin approximation, (Equivariant) Chow groups and rings; motives A theorem on smoothness. Bass-Quillen, Chow groups and intersection multiplicity of Serre | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Brauer groups; curves over local fields; field extensions; resolutions of singularities; algebraic function fields; curves over rings of integers of \(p\)-adic fields D. J. Saltman, ''Correction to: ``Division algebras over \(p\)-adic curves'' [J. Ramanujan Math. Soc. 12 (1997), no. 1, 25-47; MR1462850 (98d:16032)],'' J. Ramanujan Math. Soc., vol. 13, iss. 2, pp. 125-129, 1998. Finite-dimensional division rings, Curves over finite and local fields, Arithmetic ground fields for curves Correction to: Division algebras over \(p\)-adic curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic towers of function fields; Jacobian; rank of a Jacobian; endomorphisms of Jacobians; function field D. Ulmer and Y.G. Zarhin. Ranks of Jacobians in towers of function fields. Math. Res. Lett., 17:637--645, 2010. Algebraic functions and function fields in algebraic geometry, Jacobians, Prym varieties, Automorphisms of curves, Arithmetic ground fields for abelian varieties, Global ground fields in algebraic geometry Ranks of Jacobians in towers of function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic extension of free pencil; prime characteristic Paoletti R. (1995). Free pencils on divisors. Math. Ann. 303: 109--123 Divisors, linear systems, invertible sheaves, Finite ground fields in algebraic geometry Free pencils on divisors | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic singularities in positive characteristic; Milnor number in positive characteristic; singularities of algebroid curves Singularities in algebraic geometry, Singularities of curves, local rings, Fibrations, degenerations in algebraic geometry, Local complex singularities The Milnor number of plane branches with tame semigroups of values | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Diophantine approximation of rational points; toric varieties; universal torsors Rational points, Toric varieties, Newton polyhedra, Okounkov bodies, Diophantine approximation, transcendental number theory Rational approximations on toric varieties | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic pre-good point; bad \(d\)-fold points; desingularization; surfaces in 3- space; multiplicity of a singular point; strict transform; good point; monoidal transforms; characteristic Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Singularities of surfaces or higher-dimensional varieties Abhyankar's work on desingularization | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.