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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; resolution of singularities; singularities in positive characteristic Global theory and resolution of singularities (algebro-geometric aspects) On the simplification of singularities by blowing up at equimultiple centers | 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 modular varieties for arbitrary global function fields; Drinfeld shtuka; elliptic modules; algebraic stack; Langlands' conjecture U. Stuhler, \(p\)-adic homogeneous spaces and moduli problems , Formal groups, \(p\)-divisible groups, Local ground fields in algebraic geometry, Homogeneous spaces and generalizations, Algebraic moduli problems, moduli of vector bundles, Generalizations (algebraic spaces, stacks), Drinfel'd modules; higher-dimensional motives, etc., Langlands-Weil conjectures, nonabelian class field theory \(p\)-adic homogeneous spaces and moduli problems | 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 Ax-Katz theorem; rational points over finite fields; eigenvalues of Frobenius H. Esnault and N. Katz, Cohomological divisibility and point count divisibility, Compos. Math., 141 (2005), 93--100. Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Finite ground fields in algebraic geometry Cohomological divisibility and point count divisibility | 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 curves over a finite field; curves with many points; graphs; towers of function fields; zeta functions ] Emmanuel Hallouin and Marc Perret, From Hodge index theorem to the number of points of curves over finite fields, arXiv:1409.2357v1, 2014. Curves over finite and local fields, Rational points, Finite ground fields in algebraic geometry, Singularities of curves, local rings, Paths and cycles, Graphs and linear algebra (matrices, eigenvalues, etc.) Recursive towers of curves over finite fields using graph 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 existence of isometry-dual flags of codes; two-point algebraic geometry codes; isometry-dual property; two-point codes over function fields Geometric methods (including applications of algebraic geometry) applied to coding theory, Applications to coding theory and cryptography of arithmetic geometry The isometry-dual property in flags of two-point 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 genus of curves over finite fields; many rational points; maximal function fields R. Fuhrmann and F. Torres. The genus of curves over finite fields with many rational points. Manuscripta Math., 89(1) (1996), 103--106. Curves over finite and local fields, Arithmetic theory of algebraic function fields, Finite ground fields in algebraic geometry, Special algebraic curves and curves of low genus, Arithmetic ground fields for curves The genus of curves over finite fields with many rational 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 Ramanujan's second notebook; continued fractions; products of gamma functions; irrationality of \(\zeta \) (3).; modified theta-function; theta-functions; sums of divisor functions; Rogers-Ramanujan identities Research exposition (monographs, survey articles) pertaining to number theory, Continued fractions, Elementary theory of partitions, Asymptotic results on arithmetic functions, Theta functions and abelian varieties Remarks on some of Ramanujan's number theoretical discoveries found in his second notebook | 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 arbitrary characteristic; Milnor number in arbitrary characteristic; singularities of algebroid hypersurfaces; fibrations by non-smooth hypersurfaces Singularities in algebraic geometry, Hypersurfaces and algebraic geometry, Integral closure of commutative rings and ideals, Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics Hypersurface singularities in arbitrary 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 algebraic function fields; Galois theory of function fields; Kummer theory; valuations; flag functions F.\ A. Bogomolov and Y. Tschinkel, Commuting elements of Galois groups of function fields, Motives, polylogarithms and Hodge theory. Part I (Irvine 1998), Int. Press Lect. Ser. 3, International Press, Somerville (2002), 75-120. Arithmetic theory of algebraic function fields, Galois theory, Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), Configurations and arrangements of linear subspaces Commuting elements in Galois groups 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 global function fields; curves over finite fields; global square theorem; Picard groups; connected graphs; graph's diameter Curves over finite and local fields, Class groups and Picard groups of orders, Density theorems, Picard groups, Connectivity Even points on an algebraic curve | 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 iteration of rational maps; integral point; dynamical system; \(\varphi\)- canonical heights; diophantine properties of orbits; orbit; diophantine equations; Thue equations; Siegel's theorem Silverman J.H.: Integer points, Diophantine approximation, and iteration of rational maps. Duke Math. J. 71(3), 793--829 (1993) Diophantine approximation, transcendental number theory, Global ground fields in algebraic geometry, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, Topological dynamics Integer points, diophantine approximation, and iteration of rational maps | 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 theory of algebraic functions of one variable; Riemann-Roch theorem; algebraically perfect fields W. L. Chow, Die geometrische Theorie der algebraischen Funktionen für beliebige vollkommene Körper, Math. Ann. (1937) pp. 656-682. Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry Die geometrische Theorie der algebraischen Funktionen für beliebige vollkommene Körper | 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 reduced algebra; integral algebra with a given Hilbert function; Hilbert function of N points in projective space Roberts L, Roitman M. On Hilbert Function of Reduced and of Integral Algebra, J Pure Appl Algebra, 1989, 56: 85--104 Integral domains, Special varieties, Polynomial rings and ideals; rings of integer-valued polynomials, Multiplicity theory and related topics, (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) On Hilbert functions of reduced and of integral algebras | 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 field of transcendence degree 1; divisors; Riemann-Roch theorem Riemann-Roch theorems, Divisors, linear systems, invertible sheaves, Algebraic functions and function fields in algebraic geometry On the Riemann-Roch 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 cohomological dimension of fields; \(C_i\) property; Milnor K-theory; number fields; function fields Forms of degree higher than two, Hilbertian fields; Hilbert's irreducibility theorem, Field arithmetic, Other nonalgebraically closed ground fields in algebraic geometry, Higher symbols, Milnor \(K\)-theory, \(K\)-theory in number theory On a conjecture of Kato and Kuzumaki | 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 resolution of cusp singularities; Shintani decomposition; totally real cubic number fields; Hilbert modular variety; family of cubics; evaluation of zeta-function DOI: 10.1007/BF01359864 Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Singularities of surfaces or higher-dimensional varieties, Special surfaces, \(3\)-folds, Totally real fields, Cubic and quartic extensions, Global ground fields in algebraic geometry On the resolution of cusp singularities and the Shintani decomposition in totally real cubic 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 resolution of surface singularity; second Chern class; Riemann-Roch formula; Euler characteristic Wahl, J.: Second Chern class and Riemann-Roch for vector bundles on resolutions of surface singularities. Math. Ann.295, 81--110 (1993) Riemann-Roch theorems, Singularities of surfaces or higher-dimensional varieties, Characteristic classes and numbers in differential topology, Vector bundles on surfaces and higher-dimensional varieties, and their moduli Second Chern class and Riemann-Roch for vector bundles on resolutions of surface singularities | 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 finite field; towers of algebraic function fields Arithmetic theory of algebraic function fields, Class field theory, Algebraic functions and function fields in algebraic geometry, Rational points A note on 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 configuration space; Morse function; Lefschetz theorem of hyperplane sections; CW-complex Kamiyama Y. and Tezuka M. (1999). Topology and geometry of equilateral polygon linkages in the Euclidean plane. Q. J. Math. 50: 463--470 General low-dimensional topology, Discriminantal varieties and configuration spaces in algebraic topology, Real algebraic sets Topology and geometry of equilateral polygon linkages in the Euclidean plane | 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 set of points in projective space; module of Kähler differentials; \(0\)-dimensional subschemes of \({\mathbb P}^n\); Hilbert function; torsion submodule de Dominicis, G.; Kreuzer, M., Kähler differentials for points in \(\mathbb{P}^n\), J. pure appl. algebra, 141, 153-173, (1999) Modules of differentials, Varieties of low degree, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series Kähler differentials for points in \(\mathbb{P}^n\) | 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 Weierstrass model of elliptic curve; formal power series; absolute logarithmic heights; bounds for coefficients of polynomials; linear forms in elliptic logarithms Linear forms in logarithms; Baker's method, Transcendence theory of other special functions, Elliptic curves over local fields, Heights, Elliptic curves Logarithmic functions and formal groups 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 stable reduction of curves; completely valued fields; ultrametric valuation; topological function field; topological genus; inequalities Non-Archimedean valued fields, Algebraic functions and function fields in algebraic geometry Genre topologique des corps valués. (Topological genus of valued 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 Fermat's last theorem; Diophantine equations; elliptic functions; elliptic curves; modular functions; Galois theory; representation theory; Weil-Shimura-Taniyama conjecture; abc conjecture; Serre conjectures; Mordell-Weil theorem Hellegouarch, Y.: Invitation to the Mathematics of Fermat-Wiles. Academic Press, Cambridge (2002) Research exposition (monographs, survey articles) pertaining to number theory, Higher degree equations; Fermat's equation, Elliptic curves over global fields, Holomorphic modular forms of integral weight, Modular and Shimura varieties Invitation to the mathematics of Fermat-Wiles. Transl. from the French by Leila Schneps | 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 Bernstein-Kushnirenko theorem; semigroup of integral points; convex body; mixed volume; Alexandrov-Fenchel inequality; Brunn-Minkowski inequality; Hodge index theorem; intersection theory of Cartier divisors; Hilbert function Kaveh, K., Khovanskii, A.G.: Algebraic equations and convex bodies. In: Itenberg, I., Jöricke, B., Passare, M. (eds.) Perspectives in Analysis, Geometry, and Topology, on the Occasion of the 60th Birthday of Oleg Viro, Progress in Mathematics, vol. 296, pp. 263-282. Birkhäuser Verlag Ag (2012) Mixed volumes and related topics in convex geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), \(n\)-dimensional polytopes, Special polytopes (linear programming, centrally symmetric, etc.) Algebraic equations and convex bodies | 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 tensor product of quaternion algebras; central simple algebras; orthogonal involution; Brauer-Severi variety; involution variety; function fields; generic isotropic splitting field; Brauer groups; Quillen \(K\)-theory D. Tao, ''A variety associated to an algebra with involution'',J. Algebra,168, 479--520 (1994). Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Rings with involution; Lie, Jordan and other nonassociative structures, Brauer groups of schemes, Computations of higher \(K\)-theory of rings, Homogeneous spaces and generalizations A variety associated to an algebra with involution | 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 Kobayashi hyperbolicity; orbifold hyperbolicity; logarithmic-orbifold; Kobayashi conjecture; second main theorem; jet differentials; logarithmic Demailly tower; higher-order log connections; logarithmic Wronskians Hyperbolic and Kobayashi hyperbolic manifolds, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, Complete intersections, Grassmannians, Schubert varieties, flag manifolds, Divisors, linear systems, invertible sheaves Kobayashi hyperbolicity of the complements of general hypersurfaces of high degree | 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 \(C^{\infty}\)-invariance of the canonical class of a minimal complex surface; Kähler manifold; irrational surface; differential topology of complex algebraic surfaces; moduli spaces of anti-self-dual Yang-Mills connections; holomorphic bundles; deformation equivalent; K3 surface; elliptic surface; intersection form; second Betti number; signature; Bogomolov-Miyaoka-Yau inequality for complex surfaces R Friedman, J W Morgan, Algebraic surfaces and \(4\)-manifolds: some conjectures and speculations, Bull. Amer. Math. Soc. \((\)N.S.\()\) 18 (1988) 1 Differentiable structures in differential topology, Moduli, classification: analytic theory; relations with modular forms Algebraic surfaces and 4-manifolds: Some conjectures and speculations | 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 varieties; resonance varieties; logarithmic differential forms; Hodge theory; arrangements of hyperplanes; twisted cohomology; zeroes of 1-forms; Hopf index theorem DOI: 10.1112/S0010437X09004461 Transcendental methods, Hodge theory (algebro-geometric aspects), de Rham cohomology and algebraic geometry, Mixed Hodge theory of singular varieties (complex-analytic aspects), Relations with arrangements of hyperplanes, Elliptic curves Characteristic varieties and logarithmic differential 1-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 Vojta's main conjecture; K-stability; Fano varieties; Diophantine approximation; Newton-Okounkov bodies 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 Divisorial instability and Vojta's main conjecture for \(\mathbb{Q} \)-Fano 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 moments of quadratic Dirichlet; \(L\)-functions; ratios of \(L\)-functions; function fields; random matrix theory; hyperelliptic curves Andrade, J. C.; Keating, J. P., Conjectures for the integral moments and ratios of \textit{L}-functions over function fields, J. Number Theory, 142, 102-148, (2014) Curves over finite and local fields, Relations with random matrices, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) Conjectures for the integral moments and ratios of \(L\)-functions over 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 isogeny graphs; \((\ell, \ell)\)-isogenies; principally polarised abelian varieties; Jacobians of hyperelliptic curves; lattices in symplectic spaces; orders in CM-fields Abelian varieties of dimension \(> 1\), Isogeny Isogeny graphs of ordinary abelian 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 Brauer group of the rational function fields Brauer groups of schemes, Galois cohomology, Arithmetic theory of algebraic function fields Groupe de Brauer des corps de fractions rationnelles à coefficients complexes | 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; curves of genus greater than 1; finite number of points defined over the ground field Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic theory of algebraic function fields, Rational points Diophantine equations over 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 no-separable group action in positive characteristic; algorithms for determinacy; tangent image; tangent space; right and contact equivalence in positive characteristic Group actions on varieties or schemes (quotients), Positive characteristic ground fields in algebraic geometry Algorithms for group actions in arbitrary characteristic and a problem in singularity 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 reciprocity law for surfaces over finite fields; group of degree 0 zero- cycles; rational equivalence; abelian geometric fundamental group; unramified class field theory; K-theory; Chow groups Jean-Louis Colliot-Thélène & Wayne Raskind, ``On the reciprocity law for surfaces over finite fields'', J. Fac. Sci. Univ. Tokyo Sect. IA Math.33 (1986) no. 2, p. 283-294 Finite ground fields in algebraic geometry, Coverings in algebraic geometry, Algebraic cycles, Parametrization (Chow and Hilbert schemes), Homotopy theory and fundamental groups in algebraic geometry, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Arithmetic theory of algebraic function fields On the reciprocity law for surfaces 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 groups; linear algebra; infinite dimensional spaces; systems of linear differential equations; symmetry; finite subgroups of rotation group; free groups; generators; relations; Todd-Coxeter algorithm; bilinear forms; spectral theorems; linear groups; group representations; rings; algebraic geometry; factorization; modules; function fields and their relations to Riemann surfaces; Galois theory Mathematics in general, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mathematics in general, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to group theory, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to linear algebra, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to field theory Algebra | 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 over finite fields; rational points; normal complete intersection; second Bertini theorem Cafure, A.; Matera, G., An effective Bertini theorem and the number of rational points of a normal complete intersection over a finite field, Acta Arith., 130, 1, 19-35, (2007) Varieties over finite and local fields, Rational points, Curves over finite and local fields, Complete intersections An effective Bertini theorem and the number of rational points of a normal complete intersection over a finite 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 p-adic L-function; Tate-module of an elliptic curve; Iwasawa-modules; CM- curves; two variable main conjecture Coates, J.; Schmidt, C.-G., Iwasawa theory for the symmetric square of an elliptic curve, Journal für die Reine und Angewandte Mathematik, 375/376, 104-156, (1987) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Elliptic curves, Special algebraic curves and curves of low genus, Arithmetic ground fields for curves Iwasawa theory for the symmetric square of an elliptic curve | 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 Izumi Theorem; Diophantine approximation; Artin approximation Beddani, C.; Spivakovsky, M.: Generalization of a result of hickel, Itô and izumi about a Diophantine inequality, J. pure appl. Algebra 219, 1711-1719 (2015) Integral closure of commutative rings and ideals, Henselian rings, Rational and birational maps Generalization of a result of Hickel, Ito and Izumi about a Diophantine inequality | 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 weakly normal variety; WN1; theorem of Bertini; linear system; positive characteristic Divisors, linear systems, invertible sheaves, Finite ground fields in algebraic geometry, Structure of families (Picard-Lefschetz, monodromy, etc.) Linear systems on weakly normal varieties (in 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 Bogomolov conjecture; curves of higher genus; function fields; metric graphs Faber, X. W. C., The geometric Bogomolov conjecture for curves of small genus, Experiment. Math., 1058-6458, 18, 3, 347\textendash 367 pp., (2009) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic varieties and schemes; Arakelov theory; heights, Heights The geometric Bogomolov conjecture for curves of small 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 number of rational points; \(K3\)-surface; Hasse zeta function; \(L\)- function; number of words of weight 5 in the binary Melas-codes Perter, C.; Top, J.; Vlugt, M., The Hasse zeta-function of a \(K3\) surface related to the number of words of weight 5 in the melas codes, J. Reine Angew. Math., 432, 151-176, (1992) Enumerative problems (combinatorial problems) in algebraic geometry, Geometric methods (including applications of algebraic geometry) applied to coding theory, \(K3\) surfaces and Enriques surfaces, Rational points, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Computational aspects in algebraic geometry The Hasse zeta function of a K3-surface related to the number of words of weight 5 in the Melas 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 regular cone; unimodular cone; Fan; continued fraction expansion; simultaneous Diophantine approximation; multidimensional continued fraction algorithm; stellar operation; starring; Farey mediant; Farey sum; Davenport-Mahler theorem Continued fractions, Farey sequences; the sequences \(1^k, 2^k, \dots\), Continued fraction calculations (number-theoretic aspects), Continued fractions and generalizations, Diophantine approximation in probabilistic number theory, Toric varieties, Newton polyhedra, Okounkov bodies, General theory of group and pseudogroup actions, Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations, Dynamics induced by group actions other than \(\mathbb{Z}\) and \(\mathbb{R}\), and \(\mathbb{C}\), Convergence and divergence of continued fractions Triangles in Diophantine approximation | 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 Hasse principle; function fields; weak approximation; cubic hypersurface; circle method 10.1007/s00039-015-0328-5 Varieties over global fields, Applications of the Hardy-Littlewood method, Arithmetic theory of polynomial rings over finite fields, Rational points Rational points on cubic hypersurfaces over \(\mathbb F_q(t)\) | 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 functions of one variable; algebraic function fields; arbitrary field of constants Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry Fields of algebraic functions of one variable over an arbitrary field of constants | 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 determinantal representations of an algebraic curve; joint transfer function; meromorphic bundle map; compact Riemann surface; zero-pole structure; input bundle; Livsic-Kravitsky two-operator commutative vessel; Mittag-Leffler type interpolation theorem; state space similarity theorem; zero-pole interpolation problem Ball J. A., Vinnikov V. (1996) Zero-pole interpolation for meromorphic matrix functions on an algebraic curve and transfer functions of 2D systems. Acta Applied Mathematics 45(3): 239--316 Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones), Linear operator methods in interpolation, moment and extension problems, Special algebraic curves and curves of low genus, Vector bundles on curves and their moduli, Canonical models for contractions and nonselfadjoint linear operators, Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. Zero-pole interpolation for meromorphic matrix functions on an algebraic curve and transfer functions of 2D systems | 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 implicit function theorem; extension of Prüfer domains; desingularization Extension theory of commutative rings, Dedekind, Prüfer, Krull and Mori rings and their generalizations, Global theory and resolution of singularities (algebro-geometric aspects) Regular morphisms on Prüfer domains of characteristic zero | 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 defect of the valued function fields; genus; ramification index Michel Matignon, Genre et genre résiduel des corps de fonctions valués, Manuscripta Math. 58 (1987), no. 1-2, 179 -- 214 (French, with English summary). Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Ramification problems in algebraic geometry, Valued fields Genre et genre residuel des corps de fonctions valués. (Genus and residual genus of valued 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 \(l\)-adic Abel-Jacobi map; group of codimension-\(n\) cycles modulo rational equivalence; filtration; \(l\)-adic étale cohomology; cycle map; function field in one variable W. Raskind, ''Higher \(l\)-adic Abel-Jacobi mappings and filtrations on Chow groups,'' Duke Math. J., vol. 78, iss. 1, pp. 33-57, 1995. Algebraic cycles, Local ground fields in algebraic geometry, Parametrization (Chow and Hilbert schemes), Étale and other Grothendieck topologies and (co)homologies Higher \(l\)-adic Abel-Jacobi mappings and filtrations on Chow groups | 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 zeta-function; field extensions; ramification in number fields; curve over a finite field; Riemann hypothesis D. Lorenzini, \textit{An Invitation to Arithmetic Geometry.}American Mathematical Society, Washington, DC, 1996. Curves in algebraic geometry, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Commutative ring extensions and related topics, Arithmetic algebraic geometry (Diophantine geometry) An invitation to arithmetic 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 Zariski dense orbits; Medvedev-Scanlon conjecture; additive polynomials over fields of positive characteristic Arithmetic ground fields for abelian varieties, Rational points Zariski dense orbits for endomorphisms of a power of the additive group scheme defined 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 homogeneous weight enumerator of a linear code; Duursma's zeta polynomial and Duursma's reduced polynomial of a linear code; Riemann hypothesis analogue for linear codes; formally self-dual linear codes; Hasse-Weil polynomial and Duursma's reduced polynomial of a function field of one variable Kasparian, A.; Marinov, I., Duursma's reduced polynomial, (8 May 2015) Geometric methods (including applications of algebraic geometry) applied to coding theory, Applications to coding theory and cryptography of arithmetic geometry, Algebraic coding theory; cryptography (number-theoretic aspects) Duursma's reduced 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 Hodge theory in transcendental algebraic geometry; polarized variation of Hodge structure; Hodge bundles; rigidity theorem; structure theorem; removable singularity theorem; monodromy theorem; algebraization theorem; Gauß-Manin connection Transcendental methods of algebraic geometry (complex-analytic aspects), Transcendental methods, Hodge theory (algebro-geometric aspects), Families, moduli, classification: algebraic theory Curvature properties of the Hodge 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 arithmetic properties of hyperelliptic function fields; minimum distance of geometric codes; hyperelliptic curves Xing, C. -P.: Hyperelliptic function fields and codes. J. pure appl. Algebra 74, 109-118 (1991) Geometric methods (including applications of algebraic geometry) applied to coding theory, Algebraic coding theory; cryptography (number-theoretic aspects), Algebraic functions and function fields in algebraic geometry Hyperelliptic function fields and 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 Brauer groups; Hasse principle; function fields of genus 1 Brauer groups of schemes, Algebraic functions and function fields in algebraic geometry, Special algebraic curves and curves of low genus A method of computing the constant field obstruction to the Hasse principle for the Brauer groups of genus one 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 motivic cohomology; zeta-functions of varieties over finite fields; Kummer sequences; duality; cohomology of the complexes; Tate conjecture for smooth projective varieties over a finite; field; Tate conjecture for smooth projective varieties over a finite field J. S. Milne, Motivic cohomology and values of zeta-functions, Compos. Math., 68 (1988), 59--102. Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Generalizations (algebraic spaces, stacks), Finite ground fields in algebraic geometry, Étale and other Grothendieck topologies and (co)homologies, \(p\)-adic cohomology, crystalline cohomology, Arithmetic problems in algebraic geometry; Diophantine geometry Motivic cohomology and values of zeta 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 simple abelian varieties of prime dimension; Hodge conjecture on algebraic cycles; zeta-function of the abelian variety; Tate conjecture; Mumford-Tate group; Mumford-Tate conjecture DOI: 10.1070/IM1983v020n01ABEH001345 Transcendental methods, Hodge theory (algebro-geometric aspects), Algebraic theory of abelian varieties, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) Cycles on simple abelian varieties of prime dimension | 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 densities of discriminants of cubic fields; 3-class-number of quadratic fields; binary cubic forms; adelization; zeta-functions; function field; Dedekind's zeta-function Iwasawa theory, Arithmetic theory of algebraic function fields, Quadratic forms over global rings and fields, Density theorems, Asymptotic results on counting functions for algebraic and topological structures, Cubic and quartic extensions, Global ground fields in algebraic geometry, Zeta functions and \(L\)-functions of number fields, Algebraic functions and function fields in algebraic geometry Density of discriminants of cubic extensions | 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 finite fields; towers of function fields; congruence zeta functions DOI: 10.3836/tjm/1202136690 Arithmetic theory of algebraic function fields, Finite ground fields in algebraic geometry, Algebraic functions and function fields in algebraic geometry A note on optimal towers 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 localization theorem for \(K\)-theory; triangulated categories; épaisse closure; derived category of quasicoherent sheaves; abelian categories Neeman, A., The connection between the K-theory localization theorem of thomason, trobaugh and yao and the smashing subcategories of bousfield and ravenel, Ann. Sci. Éc. Norm. Supér. (4), 25, 5, 547-566, (1992) \(K\)-theory of schemes, Algebraic \(K\)-theory of spaces, Applications of methods of algebraic \(K\)-theory in algebraic geometry The connection between the K-theory localization theorem of Thomason, Trobaugh and Yao and the smashing subcategories of Bousfield and Ravenel | 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; algebraic curves; distributions of values DOI: 10.1090/S0002-9947-06-04018-9 Algebraic functions and function fields in algebraic geometry, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, Riemann surfaces; Weierstrass points; gap sequences Unique range sets and uniqueness polynomials for algebraic 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 positive characteristic algebraic geometry; differential algebra; integral submanifolds of a manifold; differential ideals in the De Rham complex; characteristic p base ring; purely inseparable exponent one field extension; Poincaré lemma Finite ground fields in algebraic geometry, Galois theory and commutative ring extensions, Inseparable field extensions, Generalizations (algebraic spaces, stacks), Modules of differentials, Decidability and field theory Introduction to the algebraic theory of positive characteristic differential 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 function theory of surfaces; principal congruence groups; Hecke subgroups; characteristic classes; punctures; Riemann surface; theta constant identities; conformal mappings Holomorphic modular forms of integral weight, Theta series; Weil representation; theta correspondences, Compact Riemann surfaces and uniformization, Riemann surfaces; Weierstrass points; gap sequences Automorphic forms for subgroups of the modular group. II: Groups containing congruence subgroups | 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 indecomposable division algebras; noncrossed product division algebras; patching over fields; smooth projective curves; completions of function fields; Brauer groups Chen, F.: Indecomposable and noncrossed product division algebras over curves over complete discrete valuation rings, (2010) Finite-dimensional division rings, Brauer groups (algebraic aspects), Brauer groups of schemes, Algebraic functions and function fields in algebraic geometry Indecomposable and noncrossed product division algebras over curves over complete discrete valuation rings. | 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 rank two stable reflexive sheaf; bound for the third Chern class; bound on genus of curves in projective 3-space Hartshorne, R, Stable reflexive sheaves III, Math. Ann., 279, 517-534, (1988) Curves in algebraic geometry, Characteristic classes and numbers in differential topology Stable reflexive sheaves. III | 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 \(p\); Galois group of number fields of curves; elliptic curve; potentially good reduction Kraus, A., Sur le défaut de semi-stabilité des courbes elliptiques à réduction additive, Manuscripta Math., 69, 1, 353-385, (1990) Arithmetic ground fields for curves, Local ground fields in algebraic geometry, Galois theory On the failure of semistability of elliptic curves with additive reduction | 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 approximation theorem for valuations; large Jacobson radicals; valuation pair Valuations and their generalizations for commutative rings, Local deformation theory, Artin approximation, etc. Approximation theorems for Manis valuations | 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 Ulm invariants; Brauer group of algebraic function fields over global fields Fein, B.; Schacher, M.: Brauer groups of algebraic function fields. J. algebra 103, 454-465 (1986) Arithmetic theory of algebraic function fields, Galois cohomology, Brauer groups of schemes Brauer groups of 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 towers of function fields; rational places; genus of a function field; automorphisms of function fields; \(p\)-rank Arithmetic theory of algebraic function fields, Curves over finite and local fields, Applications to coding theory and cryptography of arithmetic geometry, Algebraic functions and function fields in algebraic geometry Asymptotically good towers of function fields with small \(p\)-rank | 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 local height functions; closed subschemes; inverse function theorem; parametric family of algebraic varieties Silverman, J. H., \textit{arithmetic distance functions and height functions in Diophantine geometry}, Math. Ann., 279, 193-216, (1987) Global ground fields in algebraic geometry, Local ground fields in algebraic geometry, Arithmetic varieties and schemes; Arakelov theory; heights, Heights Arithmetic distance functions and height functions in 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 generalization of Hamburger's theorem; Epstein's zeta-function; prehomogeneous vector space Analytic theory (Epstein zeta functions; relations with automorphic forms and functions), Hurwitz and Lerch zeta functions, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Special varieties The Hamburger theorem for the Epstein zeta 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 central simple algebras; strong approximation property; commutator subgroups; rational function fields; global fields; Brauer groups Infinite-dimensional and general division rings, Arithmetic theory of algebraic function fields, Galois cohomology, Brauer groups of schemes, Adèle rings and groups Strong approximation theorem for division algebras over \(\mathbb{R}(X)\) | 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 quotients by vector fields; class groups of normal domains; Cohen- Macaulay singularity; characteristic p; discriminantal locus; quotient singularities; complete intersection; p-radical descent Aramova, A; Avramov, L, Singularities of quotients by vector fields in characteristic \(p>0\), Math. Ann., 273, 629-645, (1986) Singularities in algebraic geometry, Group actions on varieties or schemes (quotients), Finite ground fields in algebraic geometry, Geometric invariant theory Singularities of quotients by vector fields 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 abelian varieties; curves over number fields; rational points; diophantine equations; Faltings' theorem; Mordell conjecture Edixhoven, Bas, Arithmetic part of Faltings's proof.Diophantine approximation and abelian varieties, Soesterberg, 1992, Lecture Notes in Math. 1566, 97-110, (1993), Springer, Berlin Rational points, Arithmetic varieties and schemes; Arakelov theory; heights, Arithmetic ground fields for abelian varieties Arithmetic part of Faltings's proof | 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 reduced Whitehead groups; Tannaka-Artin problem; patching; \(\mathrm{SK}_1\); function fields of \(p\)-adic curves Finite-dimensional division rings, Brauer groups (algebraic aspects), Arithmetic theory of algebraic function fields, Arithmetic ground fields for curves, Algebraic functions and function fields in algebraic geometry Reduced Whitehead groups of prime exponent 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 automorphic forms on function fields; automorphic cuspidal module; filtration on the moduli stack of shtukas; absolute values of the complex Hecke eigenvalues; full trace formula; residual spectrum Representation-theoretic methods; automorphic representations over local and global fields, Formal groups, \(p\)-divisible groups On the Ramanujan-Petersson conjecture over function fields. II: Spectral study | 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 theorem of Deuring and Shafarevich; algebraic function field; modular representation; rank of class group; ramification index R. Gold andM. Madan, An application of a Theorem of Deuring and Safarevic. Math. Z.191, 247-251 (1986). Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry An application of a theorem of Deuring and Šafarevič | 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 abelian varieties; global fields; function fields; \(L\)-function; Birch and Swinnerton-Dyer conjecture; heights; torsion points; Néron models; Brauer-Siegel theorem Hindry, M.; Pacheco, A., An analogue of the Brauer-Siegel theorem for abelian varieties in positive characteristic, Mosc. Math. J., 16, 1, 45-93, (2016) Elliptic curves over global fields, Arithmetic ground fields for abelian varieties, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Global ground fields in algebraic geometry, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Heights An analogue of the Brauer-Siegel theorem for abelian varieties in 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 function field; rational place; Weierstrass semigroup; tower of function fields Geil O., Matsumoto R.: Bounding the number of \(\mathbb{F}_q\)-rational places in algebraic function fields using Weierstrass semigroups. J. Pure Appl. Algebra \textbf{213}(6), 1152-1156 (2009). Finite ground fields in algebraic geometry, Curves over finite and local fields, Algebraic functions and function fields in algebraic geometry, Arithmetic ground fields for curves Bounding the number of \(\mathbb F_q\)-rational places in algebraic function fields using Weierstrass semigroups | 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 Lehmer's problem in dimension two; lower bound for height of non-torsion point Pontreau, C.: Minoration effective de la hauteur des points d'une courbe de gm2 définie sur Q. Acta arith. 120, No. 1, 1-26 (2005) Heights, Arithmetic varieties and schemes; Arakelov theory; heights Effective lower bound for the height of a curve of \({\mathbb G}_m^2\) defined over \(\mathbb Q\) | 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 cohomology of Severi-Brauer varieties; Gersten spectral sequence; Riemann-Roch formula for higher \(K\)-groups; \(K_2\); Milnor functor; norm residue homomorphism; Brauer group; Hilbert theorem 90 for \(K_2\) A. S. Merkurcprimeev and A. A. Suslin, ''\(K\)-cohomology of Severi-Brauer varieties and the norm residue homomorphism,'' Izv. Akad. Nauk SSSR Ser. Mat., vol. 46, iss. 5, pp. 1011-1046, 1135, 1982. \(K_2\) and the Brauer group, Higher symbols, Milnor \(K\)-theory, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Galois cohomology, (Equivariant) Chow groups and rings; motives, \(K\)-theory of global fields, Galois cohomology, \(K\)-theory of local fields, Brauer groups of schemes, Galois cohomology \(K\)-cohomology of Severi-Brauer varieties and the norm residue homomorphism | 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 Łojasiewicz inequality; formal power series; Artin approximation theorem; Artin function Real algebraic and real-analytic geometry, Local rings and semilocal rings, Local complex singularities Łojasiewicz inequality over the ring of power series in two variables | 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 of \(p\)-adic curves; classical groups; projective homogeneous spaces; local-global principle; unitary groups Galois cohomology of linear algebraic groups, Curves over finite and local fields, Rational points, Local ground fields in algebraic geometry Local-global principle for classical groups over function fields of \(p\)-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 abelian variety over a finite field; Chow motives of abelian schemes; Fourier transforms; Lefschetz operator; relative Chow motive; hard Lefschetz theorem for Chow motives of abelian varieties; theorem of the hypercube Generalizations (algebraic spaces, stacks), Algebraic theory of abelian varieties, Parametrization (Chow and Hilbert schemes), Drinfel'd modules; higher-dimensional motives, etc., Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, Arithmetic ground fields for abelian varieties Chow motives of abelian schemes and Fourier transform | 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 arrangements of hyperplanes; cohomology of local systems on quasi-projective varieties; Orlik-Solomon algebras; complements to algebraic curves; complements to hyperplane arrangements; arrangements of lines in \(\mathbb P^2\); Deligne cohomology; Alexander invariants of plane algebraic curves; characteristic varieties A. Libgober and S. Yuzvinsky, ''Cohomology of local systems,'' in Arrangements--Tokyo 1998, Vol. 27 of Adv. Stud. Pure Math., Kinokuniya, Tokyo, 2000, pp. 169--184. Relations with arrangements of hyperplanes, Arrangements of points, flats, hyperplanes (aspects of discrete geometry), Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Analytic sheaves and cohomology groups, Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) Cohomology of local systems | 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 Parshin's conjecture; Miyaoka-Yau inequality; surfaces of general type; fields of positive characteristic Jang, J, Generically ordinary fibrations and a counterexample to parshin's conjecture, Mich. Math. J., 59, 169-178, (2010) Arithmetic ground fields for surfaces or higher-dimensional varieties, Varieties over finite and local fields Generically ordinary fibrations and a counterexample to Parshin's 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 algebraic geometry over finite fields; hypersurfaces; Bertini's theorem; zeta functions for varieties Poonen, B, Gonality of modular curves in characteristic \(p\), Math. Res. Lett., 15, 265-271, (2008) Hypersurfaces and algebraic geometry, Finite ground fields in algebraic geometry, Zeta and \(L\)-functions in characteristic \(p\), Other Dirichlet series and zeta functions, Arithmetic varieties and schemes; Arakelov theory; heights, Projective techniques in algebraic geometry Smooth hypersurface sections containing a given subscheme over a finite 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 arithmetic theory of algebraic function fields Lettl, G, Thue equations over algebraic function fields, Acta Arith., 117, 107-123, (2005) Thue-Mahler equations, Arithmetic theory of algebraic function fields, Rational points, Cubic and quartic Diophantine equations Thue equations over 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 algebraic function fields of genus one; real-closed field; J-invariant Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Real algebraic and real-analytic geometry, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) An isomorphism theorem for algebraic function fields of genus one over real-closed 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 second main theorem; Green-Griffiths conjecture; foliation Michael McQuillan, ``Diophantine approximations and foliations'', Publ. Math., Inst. Hautes Étud. Sci. (1998) no. 87, p. 121-174 Picard-type theorems and generalizations for several complex variables, Singularities of holomorphic vector fields and foliations, Surfaces of general type, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory Diophantine approximations and foliations | 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 of curve; stable reduction of curve; topological function field; complete non-Archimedean valued fields; topological genus Valued fields, Transcendental field extensions, Algebraic functions and function fields in algebraic geometry Genre topologique de corps valués | 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 modular curves; unramified extensions of number fields; Bernoulli numbers; ideal class groups; Eisenstein prime S. Kamienny, Modular curves and unramified extensions of number fields , Compositio Math. 47 (1982), no. 2, 223-235. Class numbers, class groups, discriminants, Special algebraic curves and curves of low genus Modular curves and unramified extensions of 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 Samuel stratum; desingularization of threefold; prime characteristic; maximal contact Cossart, V, Contact maximal en caractéristique positive et petite multiplicite, Duke Math. J., 63, 57-64, (1991) Global theory and resolution of singularities (algebro-geometric aspects), \(3\)-folds, Finite ground fields in algebraic geometry, Singularities in algebraic geometry Maximal contact in positive characteristic and small multiplicity. | 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 abelian varieties with complex multiplication; periods of first and second kind; Jacobian of the Fermat curves; linear independence of values of the Beta-function; covering radius Wolfart, J., Der überlagerungsradius gewisser algebraischer kurven und die werte der betafunktion an rationalen stellen, Math. Ann., 273, 1-15, (1985) Coverings of curves, fundamental group, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Transcendence (general theory), Complex multiplication and abelian varieties, Rational points, Jacobians, Prym varieties Der Überlagerungsradius gewisser algebraischer Kurven und die Werte der Betafunktion an rationalen Stellen | 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 numerical effective bundle; higher dimensional analogue of Mordell's finiteness conjecture over function fields; nef Moduli, classification: analytic theory; relations with modular forms, Rational and birational maps, Algebraic functions and function fields in algebraic geometry The Mordell-Bombieri-Noguchi conjecture over 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 counting real points; counting real zeros; rational points; trace formula for quadratic forms; commutative ring; scaled Pfister form; algorithms; algebraic variety; quantifier elimination for real closed fields; Bröcker-Scheiderer theorem Becker, E.; Wörmann, T., On the trace formula for quadratic forms, (), To appear Forms over real fields, Semialgebraic sets and related spaces, Computational aspects in algebraic geometry On the trace formula for 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 irreducibility of polynomials; number fields; Hilbert irreducibility theorem; effective version; height Hilbertian fields; Hilbert's irreducibility theorem, Polynomials (irreducibility, etc.), Heights, Global ground fields in algebraic geometry An effective version of Hilbert's irreducibility 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 Weierstrass semigroup; asymptotically good tower of function fields Pellikaan R., Stichtenoth H., Torres F. (1998). Weierstrass semigroups in an asymptotically good tower of function fields. Finite Fields Appl 4(4):381--392 Arithmetic theory of algebraic function fields, Curves over finite and local fields, Geometric methods (including applications of algebraic geometry) applied to coding theory, Arithmetic ground fields for curves, Riemann surfaces; Weierstrass points; gap sequences Weierstrass semigroups in an asymptotically good tower 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 special values; elliptic modular function; prime factorization of differences of singular moduli Dorman D.: Special values of the elliptic modular function and factorization formulae. J. Reine Angew. Math. 383, 207--220 (1988) Modular and automorphic functions, Theta series; Weil representation; theta correspondences, Theta functions and abelian varieties Special values of the elliptic modular function and factorization formulae | 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; algebraic varieties; divisors; line bundles; vector bundles; sheaves; cohomology; elliptic curves; curves over arithmetic fields; Belyi's theorem; algebraic curves; one-dimensional varieties; coherent sheaves on curves; Riemann-Roch theorem; hyperelliptic curves; Serre duality Algebraic functions and function fields in algebraic geometry, Vector bundles on curves and their moduli, Valuations and their generalizations for commutative rings, Elliptic curves, Riemann-Roch theorems, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to commutative algebra, Arithmetic ground fields for curves Algebraic curves and one-dimensional fields | 0 |
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