text stringlengths 209 2.82k | label int64 0 1 |
|---|---|
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic global Torelli theorem for algebraic K3 surfaces; compactifications of the moduli spaces of polarized K3 surfaces; mixed Hodge structures Friedman, R., \textit{A new proof of the global Torelli theorem for K}3 \textit{surfaces}, Ann. Math., 120, 237, (1984) Transcendental methods, Hodge theory (algebro-geometric aspects), Moduli, classification: analytic theory; relations with modular forms, Compactification of analytic spaces, Special surfaces, Transcendental methods of algebraic geometry (complex-analytic aspects) A new proof of the global Torelli theorem for K3 surfaces | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic valued function fields; existence of regular functions; Henselian constant field; divisor reduction map; divisor group; elementary class Green, B.; Matignon, M.; Pop, F.: On valued function fields II: Regular functions and elements with the uniqueness property. J. reine angew. Math. 412, 128-149 (1990) Valued fields, Algebraic functions and function fields in algebraic geometry, Model theory of fields, Arithmetic theory of algebraic function fields, Field extensions On valued function fields. II: Regular functions and elements with the uniqueness property | 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 function field; reciprocity sequence; higher-dimensional function fields; smooth projective varieties; threefolds J. -L. Colliot-Thélène, ''On the reciprocity sequence in the higher class field theory of function fields,'' in Algebraic \(K\)-Theory and Algebraic Topology, Dordrecht: Kluwer Acad. Publ., 1993, vol. 407, pp. 35-55. Generalized class field theory (\(K\)-theoretic aspects), Applications of methods of algebraic \(K\)-theory in algebraic geometry, Arithmetic theory of algebraic function fields, Geometric class field theory, Étale and other Grothendieck topologies and (co)homologies On the reciprocity sequence in the higher class field theory 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 elimination theory; quantifier free formula; Place extension theorems; ordered fields; finiteness theorem of semi-algebraic geometry L. van den Dries, Some applications of a model theoretic fact to (semi-) algebraic geometry, Nederl. Akad. Indag. Math., 44 (1982), 397--401. Real algebraic and real-analytic geometry, Quantifier elimination, model completeness, and related topics Some applications of a model theoretic fact to (semi-)algebraic geometry | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Hilbert modular function for \(\sqrt{5}\); periods of \(K3\) surfaces; period differential equations; theta constants Nagano, A, A theta expression of the Hilbert modular functions for \(\sqrt{5}\) via period of K3 surfaces, Kyoto J. Math., 53, 815-843, (2013) \(K3\) surfaces and Enriques surfaces, Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms, Classical hypergeometric functions, \({}_2F_1\) A theta expression of the Hilbert modular functions for \(\sqrt{5}\) via the periods of \(K3\) surfaces | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic purity; inertia groups; branch locus of a normal cover of a regular scheme; fundamental group of the affine line in finite characteristic [Ha2] D. Harbater. On purity of inertia. Proc. Amer. Math. Soc.112, 311-319 (1991). Ramification problems in algebraic geometry, Coverings in algebraic geometry, Coverings of curves, fundamental group, Local ground fields in algebraic geometry, Arithmetic ground fields for curves On purity of inertia | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic prime characteristic; Galois covers of affine varieties; fundamental groups; \(p\)-cohomological dimension D. Harbater, Embedding problems with local conditions, Israel Journal of Mathematics 118 (2000), 317--355. Inverse Galois theory, Coverings in algebraic geometry, Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), Fundamental groups and their automorphisms (group-theoretic aspects) Embedding problems with local conditions | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Hilbert functions of points; points in uniform position; Cayley-Bacharach theorem Eisenbud, D.; Green, M.; Harris, J., Higher Castelnuovo theory, Astérisque, 218, 187-202, (1993) Parametrization (Chow and Hilbert schemes), Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series Higher Castelnuovo 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 equations in many variables; forms of degree higher than two; applications of the Hardy-Littlewood method; global ground fields Diophantine equations in many variables, Forms of degree higher than two, Applications of the Hardy-Littlewood method, Global ground fields in algebraic geometry A note on \(p\)-adic solubility for forms in many 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 Picard group; zero-cycles in the Chow ring; Pic; del Pezzo surface; quadratic extension of local fields K. R. Coombes and D. J. Muder, Zero cycles on del Pezzo surfaces over local fields , J. Algebra 97 (1985), no. 2, 438-460. Special surfaces, Algebraic cycles, Local ground fields in algebraic geometry, Parametrization (Chow and Hilbert schemes), Picard groups Zero cycles on del Pezzo surfaces over local 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 Frobenius automorphism; birational invariants; powers of differentials; prime characteristic; Hilbert polynomial Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Finite ground fields in algebraic geometry, Complete intersections, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series Birational invariants in the case of prime 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 curves; characteristic varieties; Albanese maps; orbifold pencils; Pell's equation on function fields Artal, E.; Cogolludo-Agustín, J. I.; Libgober, A., Depth of cohomology support loci for quasi-projective varieties via orbifold pencils, Rev. Mat. Iberoam., 30, 2, 373-404, (2014) Coverings of curves, fundamental group, \(3\)-folds, Plane and space curves, Elliptic curves over global fields, Low-dimensional topology of special (e.g., branched) coverings, Elliptic curves Depth of cohomology support loci for quasi-projective varieties via orbifold pencils | 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 curve in characteristic p; integral points; elliptic curve over function field; p-descent J. F. Voloch, Explicit \?-descent for elliptic curves in characteristic \?, Compositio Math. 74 (1990), no. 3, 247 -- 258. Elliptic curves, Finite ground fields in algebraic geometry, Rational points Explicit p-descent for elliptic curves 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 nonabelian zeta function; curves over finite fields; special permutations; zeta functions; zeta functions for \(\mathrm{SL}_n\) Zeta and \(L\)-functions in characteristic \(p\), Nonreal zeros of \(\zeta (s)\) and \(L(s, \chi)\); Riemann and other hypotheses, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) Higher-rank zeta functions and \(\mathrm{SL}_n\)-zeta functions for curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Bertini's theorem; fibrations by nonsmooth curves; relative Frobenius morphism; nonconservative function fields; regular but nonsmooth curves; minimal models Salomão, R.: Fibrations by curves with more than one nonsmooth point. Bull. braz. Math. soc. 45, 267-292 (2014) Fibrations, degenerations in algebraic geometry, Algebraic functions and function fields in algebraic geometry, Families, moduli of curves (algebraic), Singularities of curves, local rings, Plane and space curves Fibrations by curves with more than one nonsmooth point | 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 transcendental factors in the periods of an abelian variety; complex multiplication; gamma function at rational arguments; period relations; Chowla-Selberg formula Flach, Arch. Math. (Basel) 47 pp 418-- (1986) Arithmetic ground fields for abelian varieties, Complex multiplication and abelian varieties, Global ground fields in algebraic geometry, Theta series; Weil representation; theta correspondences Herleitung der Chowla-Selberg-Formel aus Shimura'schen Periodenrelationen. (Derivation of the Chowla-Selberg-formula from Shimura's period relations) | 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; Brauer groups; semisimple linear algebraic groups; Borel varieties; twisted flag varieties; projective varieties; change of Schur index; function fields; groups of inner type; parabolic subgroups; index reduction formula; Brauer-Severi varieties Merkurjev, A.; Panin, A.; Wadsworth, A., \textit{index reduction formulas for twisted flag varieties II}, J. K-Theory, 14, 101-196, (1998) Finite-dimensional division rings, Group actions on varieties or schemes (quotients), Quadratic spaces; Clifford algebras, Representation theory for linear algebraic groups, \(K\)-theory of schemes Index reduction formulas for twisted flag varieties. II | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic fields of definition for homomorphisms of abelian varieties; isogeny Silverberg A.: Fields of definition for homomorphisms of abelian varieties. J. Pure Appl. Algebra \textbf{77}, 253-262 (1992). Isogeny, Abelian varieties of dimension \(> 1\), Modular and Shimura varieties, Algebraic theory of abelian varieties Fields of definition for homomorphisms of 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 surface singularities; resolution of singularities; invariants for singularities; Hironaka's characteristic polyhedra Singularities of surfaces or higher-dimensional varieties, Singularities in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects) A strictly decreasing invariant for resolution of singularities in dimension two | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Hilbert function; arithmetically Cohen-Macaulay rings; partitions; set of points in multiprojective space Van Tuyl, A.: The Hilbert functions of ACM sets of points in \(Pn1{\times}\cdots{\times}\)Pnk. J. algebra 264, 420-441 (2003) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Cohen-Macaulay modules, Projective techniques in algebraic geometry The Hilbert functions of ACM sets of points in \({\mathbb P}^{n_1} {\times}\dots{\times}{\mathbb P}^{n_k}\) | 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 infinite tower of function fields; asymptotically good tower; long algebraic-geometric codes with good parameters; Artin-Schreier extensions; Kummer extensions Garcia, A.; Stichtenoth, H., Asymptotically good towers of function fields over finite fields, C. R. Acad. Sci. Paris Sér. I Math., 322, 11, 1067-1070, (1996) Curves over finite and local fields, Arithmetic ground fields for curves, Arithmetic theory of algebraic function fields, Finite ground fields in algebraic geometry, Geometric methods (including applications of algebraic geometry) applied to coding theory Asymptotically good 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 curves over finite fields; number of \(\mathbb{F}_ 2\)-rational points; lower bound for \(A(2)\); infinite class field tower Schoof, René, Algebraic curves over \(\mathbb{F}_2\) with many rational points, J. Number Theory, 41, 6-14, (1992) Curves over finite and local fields, Class field theory, Arithmetic ground fields for curves, Finite ground fields in algebraic geometry, Rational points Algebraic curves over \({\mathbb{F}}_ 2\) 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 Diophantine equations; elliptic curves; Nagell-Lutz theorem; Mordell-Weil theorem; rational points; Thue-Siegel theorem; integer points; finite fields; complex multiplication; torsion points Silverman, Joseph H. and Tate, John : '' Rational Points on Elliptic Curves '', UTM, Springer-Verlag, New York etc., 1992. Elliptic curves over global fields, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Complex multiplication and moduli of abelian varieties, Cubic and quartic Diophantine equations, Rational points, Finite ground fields in algebraic geometry, Elliptic curves Rational points on 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 axioms for elements in Euclidean spaces; principles of geometry; Helmholtz-axioms for fixed bodies; rotation of fixed bodies; Congruence of special triangles; axiom for parallelisme; cone Spaces Plane and space curves, \(3\)-folds, Abstract geometries with parallelism, Euclidean geometries (general) and generalizations, Geometric constructions in real or complex geometry Elements of mathematics for learned schools and for a Private study.Third and fourth booklet.Planimetry. | 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 effective test for the membership problem in the case of a polynomial complete intersection Dickenstein, A.; Sessa, C., An effective residual criterion for the membership problem in \textit{C}[z1,...,zn], J. pure appl. algebra, 74, 149-158, (1991) Computational aspects of algebraic surfaces, Complete intersections An effective residual criterion for the membership problem in \(\mathbb{C} [z_ 1,\cdots{} ,z_ n]\) | 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 Hilbert-Kunz function; Hilbert-Kunz multiplicity; characteristic \(p\); Frobenius homomorphism; representation ring; divisor class group; Harder-Narasimhan filtration; local Riemann-Roch formula; Cohen-Macaulay cones; affine semigroup ring; conic divisor; Ehrhart's theorem; quasipolynomial Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Divisors, linear systems, invertible sheaves The shape of Hilbert-Kunz 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 Milnor lattice; generalized root systems; root lattice; imbedded in K3- lattice; invariants of the Weyl groups of root systems; regular system of weights; homology group of K3-surface; Chevalley type theorem Simple, semisimple, reductive (super)algebras, Special surfaces, Singularities of surfaces or higher-dimensional varieties, Compact complex surfaces, Infinite-dimensional Lie (super)algebras The theory of systems of general weights and related topics. II: Its effects on the theory of singularities, general Weyl groups and their invariants, etc | 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 projective manifold; covering space; Shafarevich conjecture; extension of holomorphic function; slow growth; \(L_ 2\) cohomology; duality; vanishing theorem F. Lárusson, An extension theorem for holomorphic functions of slow growth on covering spaces of projective manifolds , J. Geom. Anal., 5 (1995), no. 2, 281--291. Continuation of analytic objects in several complex variables, Coverings in algebraic geometry, Vanishing theorems An extension theorem for holomorphic functions of slow growth on covering spaces of projective manifolds | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Galois structure of de Rham cohomology; tamely ramified cover of schemes; Euler characteristic in Grothendieck groups; rings of integers Chinburg, T.: Galois module structure of de Rham cohomology. J. Théorie Nr. Bordx. 4, 1--18 (1991) de Rham cohomology and algebraic geometry, Integral representations related to algebraic numbers; Galois module structure of rings of integers, Coverings in algebraic geometry, Coverings of curves, fundamental group Galois structure of de Rham cohomology | 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 lattice point; equidistribution; positive characteristic; function fields; continued fraction expansion Continued fractions and generalizations, Asymptotic results on counting functions for algebraic and topological structures, Positive characteristic ground fields in algebraic geometry, Linear algebraic groups over global fields and their integers, Metric theory of continued fractions, Set functions and measures on topological groups or semigroups, Haar measures, invariant measures, Lattice points in specified regions Effective equidistribution of lattice points 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 survey; differential algebra; diophantine geometry; stability; stable groups; differentially closed fields; \(\omega\)-stable structures; differential algebraic groups; \(\delta\)-definable groups; differential algebraic geometry; algebraic group; differential Galois theory of strongly normal extensions; Galois groups; Mordell-Lang conjecture; geometric version Pillay, A.: Model theory, differential algebra and number theory. Proc. ICM '94 (1995) Model-theoretic algebra, Classification theory, stability, and related concepts in model theory, Model theory (number-theoretic aspects), Research exposition (monographs, survey articles) pertaining to mathematical logic and foundations, Arithmetic ground fields for abelian varieties, Differential algebra, Differential algebra, Model theory of fields Model theory, differential algebra, and number 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 Abhyankar conjecture; affine line over a field of prime characteristic; Galois group; Mathieu group; universal covering group; splitting field Inverse Galois theory, Coverings of curves, fundamental group, Separable extensions, Galois theory, Extensions, wreath products, and other compositions of groups, Simple groups: alternating groups and groups of Lie type, Polynomials in general fields (irreducibility, etc.) Equations in characteristic 3 with Mathieu groups as their Galois 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 finite field; function field; asymptotically exact sequence; class number; tower of function fields Stéphane Ballet and Robert Rolland, Families of curves over any finite field attaining the generalized Drinfeld-Vladut bound, Actes de la Conférence ''Théorie des Nombres et Applications'', Publ. Math. Besançon Algèbre Théorie Nr., vol. 2011, Presses Univ. Franche-Comté, Besançon, 2011, pp. 5 -- 18 (English, with English and French summaries). Arithmetic theory of algebraic function fields, Class numbers, class groups, discriminants, Curves over finite and local fields, Finite ground fields in algebraic geometry Families of curves over any finite field attaining the generalized Drinfeld-Vladut bound | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic linkage; Hartshorne-Rao module; system of generators; resolution; Kronecker's embedding theorem; liaison theorems for quasi-complete intersections; arithmetically Buchsbaum projective schemes; k-Buchsbaum curves M. Fiorentini and A.T. Lascu, Projective embeddings and linkage. Rend. Sem. Mat. Fis. Milano57, 161--182 (1987) Linkage, Projective techniques in algebraic geometry Projective embeddings and linkage | 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 every K3 surface is Kähler; Kodaira conjecture; compact complex surface with even first Betti number; surjectivity of the period map for K-3 surfaces; global Torelli theorem Y. T. Siu, Every \textit{K}3 surface is Kähler. \textit{Invent. Math.} 73 (1983), 139-150. MR707352 Zbl 0557.32004 Compact complex surfaces, Special surfaces, Global differential geometry of Hermitian and Kählerian manifolds, Transcendental methods of algebraic geometry (complex-analytic aspects), Moduli, classification: analytic theory; relations with modular forms Every K 3 surface is Kähler | 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 Dolbeault cohomology groups of exterior powers of the universal bundle; Grassmannian; vanishing theorem for exterior powers of an ample bundle Manivel, L. : Un théorème d'annulation pour les puissances extérieures d' un fibré ample , J. reine angew. Math. 422 (1991), 91-116. Vanishing theorems in algebraic geometry, Vanishing theorems Un théorème d'annulation pour les puissances extérieures d'un fibré ample. (A vanishing theorem for exterior powers of an ample vector bundle.) | 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 application of Wirsing's theorem; Fermat surface; multiplicative function; asymptotic formula Asymptotic results on arithmetic functions, Special algebraic curves and curves of low genus The asymptotic density of supersingular Fermat 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 Noether's theorem; fundamental theorem; theory of algebraic functions; function-theoretic proof Algebraic functions and function fields in algebraic geometry On a theorem of Mr. Noether. | 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; coarse moduli space; field of moduli for a principally polarized abelian variety; smooth curve Algebraic moduli of abelian varieties, classification, Families, moduli of curves (algebraic), Algebraic moduli problems, moduli of vector bundles Wild ramification of moduli spaces for curves or for 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 local solubility; diophantine systems; forms in many variables; \(p\)-adic fields; homogeneous polynomials Wooley, TD, On the local solubility of Diophantine systems, Compos. Math., 111, 149-165, (1998) Diophantine equations in many variables, Local ground fields in algebraic geometry, Varieties over finite and local fields, \(p\)-adic theory, Forms of degree higher than two On the local solubility of diophantine 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 algebraic function fields; residue of differential form; system of parameters of valuation Kawahara, Y., Uchibori, T.: On residues of differential forms in algebraic function fields of two variables. TRU Math.17, 235--253 (1981) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Residues for several complex variables On resdiues of differential forms in algebraic function fields of 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 approximation theorem; Nash manifolds; separation problem; factorization problem; extension problem; global equations; complexity of Nash functions Nash functions and manifolds, Real-analytic sets, complex Nash functions, Real-analytic and Nash manifolds Global problems of Nash 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 effective rationality measures; roots of high order; non-archimedean valuations; determinantal method; diophantine approximation E. Bombieri and P. B. Cohen, Effective Diophantine approximation on \?_{\?}. II, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 24 (1997), no. 2, 205 -- 225. Measures of irrationality and of transcendence, Approximation in non-Archimedean valuations, Rational points Effective diophantine approximation on \(\mathbb{G}_M\). II | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic function field of a curve; geometric Goppa codes; automorphism groups; one-point codes; Xing's theorem Kondo, S.; Katagiri, T.; Ogihara, T., Automorphism groups of one-point codes from the curves \(y^q + y = x^{q^r + 1}\), IEEE trans. inf. theory, 47, 2573-2579, (2001) Geometric methods (including applications of algebraic geometry) applied to coding theory, Applications to coding theory and cryptography of arithmetic geometry, Arithmetic codes Automorphism groups of one-point codes from the curves \(y^q+y=x^{q^r+1}\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic multiplicity of intersection; factorization theorem for the polar of an algebroid curve Ancochea Quevedo, G.: Curvas algebraicas sobre cuerpos cerrados de característica cualquiera. Memorias de la Real Academia de Ciencias Exactas, Físicas y Naturales de Madrid. Serie de Ciencias exactas. Tomo IV. Memoria n. 1 Singularities of curves, local rings, Formal power series rings A factorization theorem for the polar of a curve with two branches | 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 Schmuedgen's representation theorem; quadratic forms; sums of squares; Henselization; Witt's Local Global Principle; algebraic curves; archimedian quadratic module; valuation theory; effectivity in semialgebraic geometry Real algebraic sets, Real algebra, Effectivity, complexity and computational aspects of algebraic geometry, Valued fields Quadratic modules of polynomials 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 curves in characteristic p; p-adic Galois representations; group of automorphisms; Jacobian variety; Tate module R. Valentini,Some p-adic Galois representations for curves in characteristic p, Mathematische Zeitschrift192 (1986), 541--545. Arithmetic ground fields for curves, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Iwasawa theory, Galois theory Some \(p\)-adic Galois representations for curves 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 Oort stratification; Shimura varieties of PEL-type; Dieudonné spaces with PEL-structure; crystalline Dieudonné functor; truncated Barsotti-Tate groups; characteristic \(p\) Torsten Wedhorn, The dimension of Oort strata of Shimura varieties of PEL-type, Moduli of abelian varieties (Texel Island, 1999), Progress in Mathematics 195, Birkhäuser, 2001, p. 441-471 Modular and Shimura varieties, Algebraic moduli of abelian varieties, classification, Families, fibrations in algebraic geometry, Formal groups, \(p\)-divisible groups, \(p\)-adic cohomology, crystalline cohomology, Generalizations (algebraic spaces, stacks) The dimension of Oort strata of Shimura varieties of PEL-type | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic moduli space of curves; mapping class group; Riemann zeta function; Euler characteristic; configurations HZ J.~Harer and D.~Zagier, \emph The Euler characteristic of the moduli space of curves, Invent. Math. \textbf 85 (1986), no.~3, 457--485. Topological properties in algebraic geometry, \(\zeta (s)\) and \(L(s, \chi)\), Families, moduli of curves (algebraic) The Euler characteristic of the moduli space of curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Drinfeld modules; elliptic modules; function fields; isogeny characters; torsion of Drinfeld modules Drinfel'd modules; higher-dimensional motives, etc., Rational points, Polynomials over finite fields, Arithmetic theory of algebraic function fields, Arithmetic aspects of modular and Shimura varieties, Special algebraic curves and curves of low genus, Abelian varieties of dimension \(> 1\) On isogeny characters of Drinfeld modules of rank two | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Prym varieties; discriminant of nets of quadrics; intermediate Jacobian; generic Torelli theorem for intersections of three quadrics DOI: 10.1007/BF01390330 Picard schemes, higher Jacobians, Pencils, nets, webs in algebraic geometry, Jacobians, Prym varieties, Transcendental methods, Hodge theory (algebro-geometric aspects), Families, moduli of curves (algebraic) Degenerations of Prym varieties and intersections of three quadrics | 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 covolume; Tamagawa measures; arithmetic Euler-Poincaré characteristic; motivic cohomology; Gauß-Bonnet formula; K-theory; residue of the zeta-function; elliptic curve; Néron model Topological properties in algebraic geometry, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Finite ground fields in algebraic geometry, Generalizations (algebraic spaces, stacks), Zeta functions and \(L\)-functions A Gauss-Bonnet theorem for motivic cohomology | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic elliptic curves over finite fields; Weil conjectures; group of torsion; elliptic curves over local fields; good reduction; elliptic curves over global fields; Mordell-Weil theorem; descent; Selmer group; Shafarevich groups J. H. Silverman, \textit{The Arithmetic of Elliptic Curves.}Springer Verlag, New York, 1986. Elliptic curves over global fields, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory, Elliptic curves over local fields, Curves over finite and local fields, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Special algebraic curves and curves of low genus, Rational points, Arithmetic ground fields for curves, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Elliptic curves, Cubic and quartic Diophantine equations The arithmetic 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 curve blow-up; set theoretic complete intersections of surfaces in \(\mathbb{P}^ 3\); curves on surfaces; bound for surface degree; quartic surface 4. D. B. Jaffe, Applications of iterated blow-up to set theoretic complete intersections in \mathbb{P}3, J. Reine Angew. Math.464 (1995) 1-45. genRefLink(128, 'S0129167X15501049BIB4', 'A1995RP96900001'); Special surfaces, Plane and space curves, Enumerative problems (combinatorial problems) in algebraic geometry, Complete intersections, Singularities of surfaces or higher-dimensional varieties, Projective techniques in algebraic geometry Applications of iterated curve blow-up to set theoretic complete intersections in \(\mathbb{P}^ 3\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic rationality of Poincaré series; Macintyre's theorem; elimination of quantifiers; p-adic fields; cell decomposition theorem Denef, J., \textit{p}-adic semi-algebraic sets and cell decomposition, J. Reine Angew. Math., 369, 154-166, (1986) Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.), Model theory of fields, Quantifier elimination, model completeness, and related topics, Local ground fields in algebraic geometry p-adic semi-algbraic sets and cell decomposition | 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 Tate conjecture for a diagonal quartic surface; rank of the Néron- Severi group; L-function R. G. E. Pinch and H. P. F. Swinnerton-Dyer, Arithmetic of diagonal quartic surfaces. I, \?-functions and arithmetic (Durham, 1989) London Math. Soc. Lecture Note Ser., vol. 153, Cambridge Univ. Press, Cambridge, 1991, pp. 317 -- 338. Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Special surfaces Arithmetic of diagonal quartic surfaces. I | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic rank of polynomial; Gowers norms for finite fields Arithmetic combinatorics; higher degree uniformity, Surfaces and higher-dimensional varieties On ranks of polynomials | 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; Riemann hypothesis; function fields; Severi's algebraic theory of correspondences on algebraic curves André Weil [3] On the Riemann hypothesis in function-fields , Proceedings of the National Academy of Sciences, vol. 27 (1941), pp. 345-347. Duke University. Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Algebraic functions and function fields in algebraic geometry, Zeta functions and \(L\)-functions of number fields On the Riemann hypothesis in 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 v-adic distance; Seshadri constant; Roth's theorem; Schmidt's subspace theorem; diophantine approximation D. McKinnon and M. Roth, Seshadri constants, Diophantine approximation, and Roth's theorem for arbitrary varieties, Invent. Math. 200 (2015), no. 2, 513-583. Rational points, Schmidt Subspace Theorem and applications, Arithmetic varieties and schemes; Arakelov theory; heights Seshadri constants, Diophantine approximation, and Roth's theorem for arbitrary 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 fields of characteristic 3; lines on quartic surfaces Rams, S.; Schütt, M., 112 lines on smooth quartic surfaces (characteristic 3), Q. J. Math., 66, 941-951, (2015) Special surfaces, \(K3\) surfaces and Enriques surfaces, Hypersurfaces and algebraic geometry, Varieties of low degree, Configurations and arrangements of linear subspaces 112 lines on smooth quartic surfaces (characteristic 3) | 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 real analytic space; Whitney approximation theorem for differential functions; analytic bundle structure A. Tognoli,Problèmes d'approximation pour espaces analytiques réels, Ann. Univ. Ferrara, Sez. VII,28 (1982), pp. 55--66. Real-analytic manifolds, real-analytic spaces, Real algebraic and real-analytic geometry, Sheaves and cohomology of sections of holomorphic vector bundles, general results Problèmes d'approximation pour espaces analytiques réels | 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 Kummer variety of a hyperelliptic curve of genus 3; height function on the Jacobian; algorithms for computing the torsion subgroup; infinite descent Heights, Jacobians, Prym varieties Heights and infinite descent on hyperelliptic 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 Fredholm spectral picture of Toeplitz operators acting on the; least harmonic majorant Hardy space of a multiply connected planar; domain; methods of Hilbert barrier problems; Riemann-Roch theorem; Riemann singularity theorem for theta functions; critical Green's divisor; Fredholm spectral picture of Toeplitz operators acting on the least harmonic majorant Hardy space of a multiply connected planar domain Toeplitz operators, Hankel operators, Wiener-Hopf operators, Theta functions and abelian varieties Toeplitz operators on multiply connected domains and theta 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 function field of a curve; ultrametric valuation; function fields of surfaces; absolute values of a field; product formula; infinite extensions Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Valued fields Arithmetic on infinite extensions 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 Harder-Narasimhan stratification; Drinfeld's relative compactifications; canonical reduction in arbitrary characteristic; Tannakian formalism for bundles; geometric Langlands program Schieder, Simon, The Harder-Narasimhan stratification of the moduli stack of \(G\)-bundles via Drinfeld's compactifications, Selecta Math. (N.S.), 21, 3, 763-831, (2015) Geometric Langlands program (algebro-geometric aspects), Algebraic moduli problems, moduli of vector bundles, Stacks and moduli problems The Harder-Narasimhan stratification of the moduli stack of \(G\)-bundles via Drinfeld's compactifications | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic tower of function fields; number of rational places; Zink's bound Algebraic functions and function fields in algebraic geometry, Curves over finite and local fields, Applications to coding theory and cryptography of arithmetic geometry A note on a tower by Bassa, Garcia and Stichtenoth | 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 zeta-function; characteristic polynomial of the Frobenius endomorphism Formal groups, \(p\)-divisible groups, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Finite ground fields in algebraic geometry Les groupes formels d'Artin-Mazur et les congruences d'Atkin-Swinnerton-Dyer. (The Artin-Mazur formal groups and the Atkin-Swinnerton-Dyer congruences.) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Galois cohomology; descent; Selmer group; theorem of Mordell-Weil; abelian variety; Iwasawa module; Tate-Shafarevich-group; p-adic zeta function; p-adic analytic group Harris, M, \(p\)-adic representations arising from descent on abelian varieties, Compos. Math., 39, 177-245, (1979) Arithmetic ground fields for abelian varieties, Iwasawa theory, Abelian varieties of dimension \(> 1\), Rational points, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Zeta functions and \(L\)-functions, Galois cohomology, Representations of Lie and linear algebraic groups over global fields and adèle rings \(p\)-adic representations arising from descent on 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 cancellation problem for transcendental field extensions; function field of a variety of general type DOI: 10.2307/2047141 Transcendental field extensions, Picard groups, Algebraic field extensions, Arithmetic theory of algebraic function fields The cancellation problem for function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic elliptic curves; complex multiplication; abelian varieties; zeta function; modular functions; theta functions; periods of integrals; class fields; field of moduli of a polarized abelian variety; Hecke \(L\)-functions; periods of abelian integrals; period symbol; differential forms; polarizations Shimura, G., \textit{abelian varieties with complex multiplication and modular functions}, (1998), Princeton University Press, Princeton, NJ Discontinuous groups and automorphic forms, Research exposition (monographs, survey articles) pertaining to number theory, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Algebraic moduli of abelian varieties, classification, Analytic theory of abelian varieties; abelian integrals and differentials, Complex multiplication and abelian varieties, Theta functions and abelian varieties, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Finite ground fields in algebraic geometry Abelian varieties with complex multiplication and modular 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 spherical varieties; spherical roots; homogeneous varieties; fields of positive characteristic F. Knop, \textit{Spherical roots of spherical varieties}, preprint arXiv:1303.2466. Compactifications; symmetric and spherical varieties, Group actions on varieties or schemes (quotients), Positive characteristic ground fields in algebraic geometry Spherical roots of spherical 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 Kac-Moody algebra; Weyl character formula; Euler-Poincaré characteristic dimensions; vanishing theorems; cohomology of semi-ample line bundles; Schubert varieties; generalization of the Bott-Borel-Weyl theorem; Kempf's theorem Mathieu, Olivier, Formules de caractères pour les algèbres de Kac-Moody générales, Astérisque, 159-160, 267 pp., (1988) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Grassmannians, Schubert varieties, flag manifolds, Infinite-dimensional Lie (super)algebras, (Co)homology theory in algebraic geometry Character formulas for general Kac-Moody 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 rational function fields; moduli varieties of stable symplectic vector bundles; rationality Katsylo, PI, Birational geometry of moduli varieties of vector bundles over \({\mathbb{P}}^2\), Math. USSR-Izv., 38, 419-428, (1992) Families, moduli, classification: algebraic theory, Rational and unirational varieties, Algebraic moduli problems, moduli of vector bundles, Vector bundles on surfaces and higher-dimensional varieties, and their moduli Birational geometry of moduli varieties of vector bundles over \(\mathbb{P}^ 2\) | 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 closed subschemes; second main theorem; holomorphic curves; Cartier divisors Value distribution theory in higher dimensions, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, Schmidt Subspace Theorem and applications, Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.), Divisors, linear systems, invertible sheaves A generalized second main theorem for closed subschemes | 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 prime ideals in an additive conservative system; spectral space; spectral map A. Nowicki, ?Prime ideal structure in additive conservative systems,? Demonstr. Math.,17, No. 1, 9?13 (1984). Ideals and multiplicative ideal theory in commutative rings, Relevant commutative algebra Prime ideal structure in additive conservative 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 trace of Hecke correspondence; Frobenius endomorphism; intersection complexes of Baily-Borel compactification; Siegel modular variety; analogs in positive characteristic of the weighted cohomology complexes Morel, S., Complexes pondérés sur LES compactifications de baily-Borel: le cas des variétés de Siegel, J. Amer. Math. Soc., 21, 1, 23-61, (2008) Cohomology of arithmetic groups, Arithmetic aspects of modular and Shimura varieties, Modular and Shimura varieties Weighted complexes on Baily-Borel compactifications: the case of Siegel 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 error-correcting code; \(C_{ab}\) curves; towers of algebraic function fields; genus Shor, Caleb McKinley, Genus calculations for towers of functions fields arising from equations of \(C_{ab}\) curves, Albanian J. Math., 5, 1, 31-40, (2011) Geometric methods (including applications of algebraic geometry) applied to coding theory, Algebraic coding theory; cryptography (number-theoretic aspects), Applications to coding theory and cryptography of arithmetic geometry Genus calculations for towers of function fields arising from equations of \(C_{ab}\) 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 formal meromorphic function; formal holomorphic function; ampleness of the normal sheaf; subvariety in a quadric Special surfaces, Formal neighborhoods in algebraic geometry Normal bundle to subvarieties in quadrics. II | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic automatic sequences; transcendence in positive characteristic; transcendence of the period of the Tate elliptic curve Thakur, D.: Automata style proof of voloch's result on transcendence. J. number theory 58, 60-62 (1996) Transcendence theory of elliptic and abelian functions, Automata sequences, Elliptic curves Automata-style proof of Voloch's result on transcendence | 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 Puiseux's theorem; Newton-Puiseux algorithm; infinitely near points; proximate points; satellite and free points; resolution of singularities; equisingularity; semigroup of a curve; characteristic exponents; linear families of germs; clusters; polar germ; formal power series; convergent power series E. Casas-Alvero, Singularities of plane curves, London Math. Soc. Lecture Note Ser. 276, Cambridge University Press, Cambridge 2000. Singularities of curves, local rings, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to several complex variables and analytic spaces, Equisingularity (topological and analytic), Local complex singularities, Global theory and resolution of singularities (algebro-geometric aspects), Plane and space curves, Germs of analytic sets, local parametrization Singularities of plane 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 equivalence classes; nonsingular pencils of quadratic forms of even order; hyperelliptic function fields; norm map Quadratic forms over general fields, Algebraic functions and function fields in algebraic geometry Pencils of quadratic forms and hyperelliptic 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 Henselian fields; closedness theorem; analytic structure; b-minimal cell decomposition; quantifier elimination; ordered abelian groups; fiber shrinking; Łojasiewicz inequalities; piecewise continuity; Hölder continuity; curve selection; transformation to normal crossings; resolution of singularities; definable retractions; extension of continuous definable functions Non-Archimedean analysis, Analytic algebras and generalizations, preparation theorems, Rigid analytic geometry, Applications of model theory, Modifications; resolution of singularities (complex-analytic aspects), Global theory and resolution of singularities (algebro-geometric aspects) A closedness theorem over Henselian fields with analytic structure and its applications | 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 classical Lie algebras; degeneracy relations for conjugacy classes of nilpotent elements; symplectic and orthogonal Lie algebras; dimension formula; fixed point variety of nilpotent element; manifold of full flags; complete intersection; normality; differential criterion for regular elements; validity of Chevalley restriction theorem for invariant polynomials Lie algebras of linear algebraic groups, Coadjoint orbits; nilpotent varieties, Classical groups (algebro-geometric aspects) Degeneration behavior of nilpotent conjugacy classes of classical Lie algebras of characteristic 2 | 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 complex multiplications; elliptic curve; Abelian varieties; algebraic period relations; diophantine approximations to numbers related to these periods; approximations to \(\pi \); hypergeometric functions; CM-varieties; modular curves; transcendence problems; monodromy group; Padé approximation; irrationality measures; linear differential equations; fast solution of matrix difference equations; factorization of large integers; parallel computation Chudnovsky, D.V., Chudnovsky, G.V.: Approximations and complex multiplication according to Ramanujan. In: Ramanujan Revisited, Urbana-Champaign, IL, 1987, pp. 375--472. Academic Press, Boston (1988) Research exposition (monographs, survey articles) pertaining to number theory, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Transcendence (general theory), Complex multiplication and abelian varieties, Software, source code, etc. for problems pertaining to number theory, Evaluation of number-theoretic constants, Factorization, Algebraic independence; Gel'fond's method, Compact Riemann surfaces and uniformization, Analytic continuation of functions of one complex variable, Ordinary differential equations in the complex domain, Padé approximation, Classical hypergeometric functions, \({}_2F_1\), Algorithms in computer science, Primes, Software, source code, etc. for problems pertaining to algebraic geometry Approximations and complex multiplication according to Ramanujan | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic prime geodesic theorem; Selberg trace formula; Faltings's delta function Spectral theory; trace formulas (e.g., that of Selberg), Evaluation of number-theoretic constants, Arithmetic varieties and schemes; Arakelov theory; heights, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Growth estimates Effective bounds for Huber's constant and Faltings's delta function | 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 analogue of Mordell's conjecture; approximations of rational numbers by rationals; Grothendieck-Riemann-Roch theorem [V2] P. Vojta: Mordell's conjecture over function fields. Inv. Math.,98, 115--138 (1989) Arithmetic ground fields for curves, Rational points, Arithmetic theory of algebraic function fields, Elliptic curves, \(p\)-adic and power series fields Mordell's 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 algebraic supergeometry; finiteness of cohomology in algebraic supergeometry; base change and semicontinuity for superschemes; relative Grothendieck duality; Hilbert and Picard superschemes; superperiod maps Supervarieties, Algebraic moduli of abelian varieties, classification, Fine and coarse moduli spaces, Families, moduli of curves (algebraic), String and superstring theories in gravitational theory Notes on fundamental algebraic supergeometry. Hilbert and Picard superschemes | 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 semisimple linear algebraic groups; motivic invariants; indices of Tits algebras; Grothendieck filtrations; algebras with orthogonal involution; quadratic forms; function fields of Severi-Brauer varieties Quéguiner-Mathieu, A.; Semenov, N.; Zainoulline, K., J. Pure Appl. Algebra, 216, 2614-2628, (2012) Linear algebraic groups over arbitrary fields, (Equivariant) Chow groups and rings; motives, Rings with involution; Lie, Jordan and other nonassociative structures, Algebraic theory of quadratic forms; Witt groups and rings The \(J\)-invariant, Tits algebras and triality. | 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 spacing distributions of zeros; zeros of the Riemann zeta-function; zeta functions of curves over finite fields; Montgomery-Odlyzko law; Ramanujan \(L\)-function; pair correlation; random matrix models; symplectic symmetry Katz, N.M., Sarnak, P.: Zeroes of zeta functions and symmetry. Bull. Am. Math. Soc. (N.S.) \textbf{36}(1), 1-26 (1999b) \(\zeta (s)\) and \(L(s, \chi)\), Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Other Dirichlet series and zeta functions, General mathematical topics and methods in quantum theory Zeroes of zeta functions and symmetry | 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 Drinfeld modular curve; expository paper; Shimura-Taniyama-Weil conjecture; function fields; rigid analytic geometry; Drinfeld modules of rank two; moduli space Gekeler ( E.U. ) and Reversat ( M. ) .- Some results on the Jacobians of Drinfeld modular curves , Preprint Univ. Toulouse 3 ( 1991 ). MR 1196521 Drinfel'd modules; higher-dimensional motives, etc., Jacobians, Prym varieties, Research exposition (monographs, survey articles) pertaining to number theory, Modular and Shimura varieties, Automorphic forms, one variable Some results on the Jacobians of Drinfeld modular curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Hecke zeta-function; non-abelian L-functions; scalar product of; L- functions; ideals with equal norms; integral points on norm form; varieties; meromorphic continuation; norm form equations; equidistribution of prime ideals; formal Euler product; absolute Weil group; algebraic number field; representations; virtual characters; Frobenius class; Größencharakteren B. Z. Moroz, \textit{Analytic Arithmetic in Algebraic Number Fields} (Springer, Berlin, 1986), Lect. Notes Math. 1205. Zeta functions and \(L\)-functions of number fields, Density theorems, Rational points, Research exposition (monographs, survey articles) pertaining to field theory, Langlands-Weil conjectures, nonabelian class field theory, Multiplicative and norm form equations Analytic arithmetic in algebraic 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 conic optimization; extended formulation; linear matrix inequality; nonnegative circuit polynomial; polynomial optimization; projected spectrahedron; Ramsey theory; real algebraic geometry; second-order cone; semidefinite optimization; sum of squares; truncated quadratic module Semidefinite programming, Nonconvex programming, global optimization, Quadratic programming, Convex programming, Ramsey theory, Semialgebraic sets and related spaces, Convex sets in \(n\) dimensions (including convex hypersurfaces) Optimal size of linear matrix inequalities in semidefinite approaches to polynomial optimization | 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 subspace theorem; second main theorem; subgeneral position Schmidt Subspace Theorem and applications, Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.), Simultaneous homogeneous approximation, linear forms, Divisors, linear systems, invertible sheaves, Value distribution theory in higher dimensions A generalized subspace theorem for closed subschemes in subgeneral position | 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 public key cryptography; key exchange; discrete logarithm problem in elliptic congruence function fields A. Stein , Elliptic Congruence Function Fields . Proc. of ANTS II, Bordeaux , 1996 , Lecture Notes in Computer Science 1122 , Springer ( 1996 ), 375 - 384 . MR 1446525 | Zbl 0899.11055 Arithmetic theory of algebraic function fields, Algebraic coding theory; cryptography (number-theoretic aspects), Cryptography, Number-theoretic algorithms; complexity, Elliptic curves over global fields, Elliptic curves Elliptic congruence 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 elliptic curves over function fields; Mordell-Weil lattices; \(L\)-function of an elliptic curve over a function field T. Shioda, Some remarks on elliptic curves over function fields , Astérisque 209 (1992), 12, 99-114. Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Rational points, Elliptic curves over global fields, Algebraic functions and function fields in algebraic geometry Some remarks on elliptic curves 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 curve singularities; surface singularities; Iitaka's conjecture; Kodaira dimension; differential forms; vanishing theorems; Enriques-Kodaira classification; surfaces of general type; K3-surfaces; Enriques surfaces; Torelli theorem for marked K3-surfaces W. Barth, C. Peters and A. Van de Ven, \textit{Compact complex surfaces}, Springer, Germany (1984). Families, moduli, classification: algebraic theory, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces, Moduli, classification: analytic theory; relations with modular forms, Compact complex surfaces, Transcendental methods of algebraic geometry (complex-analytic aspects), Picard groups, Singularities of surfaces or higher-dimensional varieties, Families, moduli of curves (algebraic), Algebraic moduli problems, moduli of vector bundles, Fine and coarse moduli spaces Compact complex surfaces | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic regular meromorphic differential forms; Poincaré Leray residue; logarithmic residue; duality in tangent cohomology; index of vector fields; Fuchsian systems Alexandr G. Aleksandrov, ``Logarithmic differential forms, torsion differentials and residue'', Complex Var. Theory Appl.50 (2005) no. 7-11, p. 777-802 Complex surface and hypersurface singularities, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, de Rham cohomology and algebraic geometry, Overdetermined systems of PDEs with constant coefficients, Topological invariants on manifolds Logarithmic differential forms, torsion differentials and residue | 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 unlikely intersections; lacunary polynomials; algebraic tori; Vojta's conjecture; function fields; Wronskian Affine geometry, Variation of Hodge structures (algebro-geometric aspects), Diophantine inequalities Intersections in subvarieties of \(\mathbb{G}_{\mathrm{m}}^l\) and applications to lacunary polynomials | 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 excellent function field; curve of genus 0; quadratic forms over function fields M. Rost, On quadratic forms isotropic over the function field of a conic, Mathematische Annalen 288 (1990), 511--513. Arithmetic theory of algebraic function fields, Quadratic forms over global rings and fields, Algebraic functions and function fields in algebraic geometry On quadratic forms isotropic over the function field of a conic | 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 \(G\)-torsor; Galois cover; coherent cohomology groups; projective Euler characteristic; Galois module of the ring of integers; Galois extension of number fields; Fröhlich's conjecture; sheaf of regular differentials G. Pappas, ''Galois modules and the theorem of the cube,'' Invent. Math., vol. 133, iss. 1, pp. 193-225, 1998. Group actions on varieties or schemes (quotients), Integral representations related to algebraic numbers; Galois module structure of rings of integers, Homogeneous spaces and generalizations, (Co)homology theory in algebraic geometry Galois modules and the theorem of the cube | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.