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 inverse Galois problem; elliptic curve; Lie-type Galois groups; Fermat equation David P. Roberts, An \?\?\? construction of number fields, Number theory, CRM Proc. Lecture Notes, vol. 36, Amer. Math. Soc., Providence, RI, 2004, pp. 237 -- 267. Other number fields, Galois theory, Elliptic curves An \(ABC\) construction of number fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic local Bertini theorem V. Trivedi, A local Bertini theorem in mixed characteristic , Comm. Algebra 22 (1994), 823-827. Local rings and semilocal rings, Complete intersections A local Bertini theorem in mixed 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 Riemann surfaces; cohomology; Jacobian varieties de Rham cohomology and algebraic geometry, Jacobians, Prym varieties, Differentials on Riemann surfaces A Martens-type theorem in the context of cohomology of Riemann 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 global fields; Drinfeld modules; elliptic curves; distribution of primes; densities Drinfel'd modules; higher-dimensional motives, etc., Elliptic curves over global fields, Arithmetic theory of algebraic function fields, Complex multiplication and abelian varieties On the distribution of torsion points modulo primes: the case 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 \(p\)-adic differential equations family; Frobenius geometric action; monodromy theorem in rank \(1\); exponent properties (DNL); (NLE); Frobenius geometric structures; monodromy functions; semi-global monodromy theorem \(p\)-adic cohomology, crystalline cohomology, Structure of families (Picard-Lefschetz, monodromy, etc.), Galois theory, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), \(p\)-adic differential equations On the monodromy theorem for the family of \(p\)-adic differential equations | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic specialization of Galois extensions; function fields; Chebotarev property; Hilbert's irreducibility theorem; local and global fields Checcoli, S.; Dèbes, P.: Tchebotarev theorems for function fields. (2013) Arithmetic theory of algebraic function fields, Separable extensions, Galois theory, Hilbertian fields; Hilbert's irreducibility theorem, Field arithmetic, Arithmetic problems in algebraic geometry; Diophantine geometry Tchebotarev theorems 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 Schubert calculus; Grassmannian; Wronskian; jeu de taquin; geometric Littlewood-Richardson rule Purbhoo, K.: Jeu de taquin and a monodromy problem for Wronskians of polynomials. Adv. Math. 224(3), 827--862 (2010) Classical problems, Schubert calculus, Grassmannians, Schubert varieties, flag manifolds Jeu de taquin and a monodromy problem for Wronskians 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 Hirzebruch-Riemann-Roch; Euler-Poincaré characteristic; characteristic homology classes of singular varieties S. Yokura, A generalized Grothendieck-Riemann-Roch theorem for Hirzebruch's {\(\chi\)} y -characteristic and T y -characteristic. Publ. RIMS Kyoto Univ. 30, 603--610 (1994) Riemann-Roch theorems, Characteristic classes and numbers in differential topology, Singularities in algebraic geometry, Topological properties in algebraic geometry A generalized Grothendieck-Riemann-Roch theorem for Hirzebruch's \(\chi_ y\)-characteristic and \(T_ y\)-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 Pisot's \(d\)-th root conjecture; function fields; linear recurrences; GCD estimates Algebraic functions and function fields in algebraic geometry, Exponential Diophantine equations, Recurrences On Pisot's \(d\)-th root conjecture for function fields and related GCD estimates | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic abelian varieties; integral points; function field; local height A. Buium and J. F. Voloch, ''Integral points of abelian varieties over function fields of characteristic zero,'' Math. Ann., vol. 297, iss. 2, pp. 303-307, 1993. Rational points, Algebraic theory of abelian varieties, Algebraic functions and function fields in algebraic geometry Integral points of abelian varieties over function fields of characteristic zero | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic nonabelian Hodge theory in positive characteristic; integral crystalline cohomology, F-crystals Sheng, M; He, X; Zuo, K, A note on the characteristic \(p\) nonabelian Hodge theory in the geometric case, Int. J. Math., 26, 18, (2015) \(p\)-adic cohomology, crystalline cohomology, de Rham cohomology and algebraic geometry A note on the characteristic \(p\) nonabelian Hodge theory in the geometric case | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic additive combinatorics; function fields Arithmetic theory of algebraic function fields, Additive number theory; partitions, Combinatorial aspects of commutative algebra, Algebraic functions and function fields in algebraic geometry Towards a function field version of Freiman's theorem | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic stratified bundle; fundamental group Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Homotopy theory and fundamental groups in algebraic geometry A relative version of Gieseker's problem on stratifications in characteristic \(p>0\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Ivanov, A.: Arithmetic and Anabelian Theorems for Stable Sets in Number Fields. Dissertation, Universität Heidelberg (2013) Algebraic numbers; rings of algebraic integers, Density theorems, Distribution of prime ideals, Galois theory, Galois cohomology, Arithmetic ground fields for curves Arithmetic and anabelian theorems for stable sets of primes in 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 arithmetic fundamental group; Abhyankar's conjecture; inverse Galois problem; Frattini extension; characteristic \(p\) David Harbater and Marius van der Put, Valued fields and covers in characteristic \?, Valuation theory and its applications, Vol. I (Saskatoon, SK, 1999) Fields Inst. Commun., vol. 32, Amer. Math. Soc., Providence, RI, 2002, pp. 175 -- 204. With an appendix by Robert Guralnick. Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), Finite ground fields in algebraic geometry, Homotopy theory and fundamental groups in algebraic geometry Valued fields and covers in characteristic \(p\). (With an appendix by Robert Guralnick) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic characteristic p; two-dimensional formal groups Formal groups, \(p\)-divisible groups, Finite ground fields in algebraic geometry On two-dimensional formal groups over the prime field of characteristic \(p>0\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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; general hyperplane section; geometrically unibranch section B. Zhang,Théorèmes du type Bertini en caractéristique positive, Arch. Math.,64 (1995), pp. 209--215. Local theory in algebraic geometry, Finite ground fields in algebraic geometry, Local ground fields in algebraic geometry, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry Bertini- type theorems 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 fundamental group; \(p\)-group Kedlaya, On the geometry of p-typical covers in characteristic p, Canad. J. Math. 60 (1) pp 140-- (2008) Homotopy theory and fundamental groups in algebraic geometry On the geometry of \(p\)-typical covers 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 Ngô báo châu, \textit{Le lemme fondamental de Jacquet et Ye en caractéristique positive}, \textit{Duke Mathematical Journal}\textbf{96} (1999), 473-520. Representation-theoretic methods; automorphic representations over local and global fields, Étale and other Grothendieck topologies and (co)homologies The fundamental lemma of Jacquet and Ye 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 Bibliography Artin, M., Coverings of the rational double points in characteristic \textit{p}, (Complex Analysis and Algebraic Geometry, (1977), Iwanami Shoten Tokyo), 11-22, MR 0450263 Coverings in algebraic geometry, Rational points, Local ground fields in algebraic geometry, Singularities in algebraic geometry Coverings of the rational double points 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 gap sequence; Weierstrass points; positive characteristic; examples of non-classical linear systems Neeman A.: Weierstrass points in characteristic \(p\). Invent. Math. \textbf{75}(2), 359-376 (1984). Riemann surfaces; Weierstrass points; gap sequences, Finite ground fields in algebraic geometry, Divisors, linear systems, invertible sheaves, Arithmetic ground fields for curves Weierstrass points 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 generic vanishing; theta divisors; positive characteristic Arithmetic ground fields for abelian varieties, Theta functions and abelian varieties, Vanishing theorems in algebraic geometry Generic vanishing in characteristic \(p>0\) and the geometry of theta divisors | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic base point free theorem; mixed characteristic Perfectoid spaces and mixed characteristic, Divisors, linear systems, invertible sheaves, Minimal model program (Mori theory, extremal rays), Group actions on varieties or schemes (quotients) Keel's base point free theorem and quotients in mixed 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 Euler-Poincaré semi-characteristic; symplectic sheaf; Cohen-Macaulay morphism; semi-stable quadratic sheaves Ch. SORGER , La semi-caractéristique d'Euler-Poincaré des faisceaux \?-quadratiques sur un schéma de Cohen-Macaulay , (Bull. Soc. Math. France, Vol. 122, 1994 , pp. 225-233). Numdam | Zbl 0814.14020 Topological properties in algebraic geometry The Euler-Poincaré semi-characteristic of \(\omega\)-quadratic sheaves over a Cohen-Macaulay scheme | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic integral scheme; field of positive characteristic; canonically polarized surface; quotient of an integral scheme by a nontrivial action; adjunction formula; Picard scheme Group actions on varieties or schemes (quotients), Group schemes, Moduli, classification: analytic theory; relations with modular forms, Automorphisms of surfaces and higher-dimensional varieties Quotients of schemes by \(\alpha _p\) or \(\mu _{p}\) actions in characteristic \(p>0\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic isotriviality; effective Mordell; semiabelian variety; positive characteristic; survey of diophantine geometry; bounding the heights of rational points on curves over function fields; semiabelian varieties; Roth's theorem Voloch, José Felipe, Diophantine geometry in characteristic \(p\): a survey.Arithmetic geometry, Cortona, 1994, Sympos. Math., XXXVII, 260-278, (1997), Cambridge Univ. Press, Cambridge Rational points, Local ground fields in algebraic geometry, Arithmetic algebraic geometry (Diophantine geometry), Arithmetic ground fields for curves Diophantine geometry in characteristic \(p\): A survey | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Mordell-Weil theorem; rational points; \(p\)-descent; Selmer group; \(L\)- function; conjecture of Birch and Swinnerton-Dyer; Igusa curves Ulmer, D. L., P-descent in characteristic p, Duke Math. J., 62, 2, 237-265, (1991) Elliptic curves, Rational points, Arithmetic theory of algebraic function fields, Finite ground fields in algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Arithmetic ground fields for curves \(p\)-descent 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 differential forms of the second kind; algebraic function field; Cartier operator; residues; pseudo-exact differentials Modules of differentials, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Algebraic functions and function fields in algebraic geometry Differential forms of the second kind over a field of 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 Arithmetic ground fields for abelian varieties, Varieties over finite and local fields Characteristic polynomials of abelian varieties over \(\mathbb F_p\) | 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 rigid-analytic period functions; Goss polynomials; distribution of zeros of \(p\)-adic functions Arithmetic theory of algebraic function fields, Modular forms associated to Drinfel'd modules, Rigid analytic geometry On the zeroes of certain periodic functions over valued fields of positive characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic algebraic variety; \(abc\)-conjecture; finiteness theorem for \(S\)-unit points of a diophantine equation; Nevanlinna-Cartan theory over function fields Varieties over global fields, Rational points, Diophantine approximation, transcendental number theory, Nevanlinna theory; growth estimates; other inequalities of several complex variables Value distribution theory over function fields and a diophantine equation | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Arithmetic varieties and schemes; Arakelov theory; heights, Representation-theoretic methods; automorphic representations over local and global fields, Representations of Lie and linear algebraic groups over local fields, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry The arithmetic Riemann-Roch theorem and the Jacquet-Langlands correspondence | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic duality theorems; Tate-Shafarevich groups; tori Izquierdo, Diego Dualité pour les groupes de type multiplicatif sur certains corps de fonctions \textit{C.~R.~Math. Acad. Sci. Paris}355 (2017) 268--271 Math Reviews MR3621253 Galois cohomology of linear algebraic groups, Global ground fields in algebraic geometry, Positive characteristic ground fields in algebraic geometry, Galois theory Duality theorem for groups of multiplicative type over some 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 González-Diez, G., On prime Galois coverings of the Riemann sphere, Ann. mat. pura appl. (4), 168, 1-15, (1995) Riemann surfaces, Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Algebraic functions and function fields in algebraic geometry, Coverings of curves, fundamental group On prime Galois coverings of the Riemann sphere | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic characteristic \(p\); rational function field; smoothness Reinhold Hübl and Ernst Kunz, On algebraic varieties over fields of prime characteristic, Arch. Math. (Basel) 62 (1994), no. 1, 88 -- 96. Varieties and morphisms, Finite ground fields in algebraic geometry, Inseparable field extensions On algebraic varieties over fields 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 representation of group as automorphism group of algebraic function field; genus; inequality of Castelnuovo-Severi Joseph G. D'Mello and Manohar L. Madan, Algebraic function fields with solvable automorphism group in characteristic \?, Comm. Algebra 11 (1983), no. 11, 1187 -- 1236. Transcendental field extensions, Arithmetic theory of algebraic function fields, Finite automorphism groups of algebraic, geometric, or combinatorial structures, Algebraic functions and function fields in algebraic geometry, Separable extensions, Galois theory Algebraic function fields with solvable automorphism group 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 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 group schemes; saturation; reductive; étale slice; Dynkin height; Coxeter number Group schemes, Geometric invariant theory On complete reducibility 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 Artin L-functions; smooth projective curve over a finite field; places; Euler characteristic; Galois cohomology Bae, S.: On the conjectures of Lichtenbaum and Chinburg over function fields. Math. Ann. 285, 417--445 (1989) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Arithmetic ground fields for curves, Arithmetic theory of algebraic function fields, Finite ground fields in algebraic geometry, Galois cohomology On the conjecture of Lichtenbaum and of Chinburg 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 Fano 3-fold; characteristic p; Kodaira vanishing; Bertini theorem Ballico E.: On Fano threefolds in characteristic p. Rend. Sem. Mat. Univ. Politec. Torino 47(1), 57--70 (1989) \(3\)-folds, Fano varieties, Finite ground fields in algebraic geometry On Fano threefolds 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 Hodge theory; non-Abelian theory; Higgs bundles; Higgs field; de Rham cohomology; Higgs cohomology; Riemann-Hilbert correspondence; Azumaya algebras A. Ogus and V. Vologodsky, Nonabelian Hodge theory in characteristic \textit{p}, Publ. Math. Inst. Hautes Études Sci. 106 (2007), 1-138. Transcendental methods, Hodge theory (algebro-geometric aspects), de Rham cohomology and algebraic geometry, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Arithmetic ground fields for abelian varieties Nonabelian Hodge theory 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 Homotopy theory and fundamental groups in algebraic geometry, Rational points, Varieties over global fields Albanese maps and fundamental groups of varieties with many rational points 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 groups; analytic subgroups; \(p\)-adic transcendence; Wüstholz theorem C. Fuchs and D. H. Pham, \textit{The \textit{p}-adic analytic subgroup theorem revisited}, \textit{p}-Adic Numbers, Ultrametric Anal. Appl. 7 (2015), 143-156. Transcendence (general theory), \(p\)-adic theory, Group schemes, Linear algebraic groups over local fields and their integers The \(p\)-adic analytic subgroup theorem revisited | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic reduction; morphisms of the projective line [9] L. Szpiro et T. J. Tucker, \(A Shafarevich-Faltings theorem for rational functions\), Pure Appl. Math. Q. 4, (2008), 3, 715-728. &MR 24 | &Zbl 1168. Arithmetic problems in algebraic geometry; Diophantine geometry, Global ground fields in algebraic geometry A Shafarevich-Faltings theorem for rational 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 Mordell-Weil rank; abelian variety; function field; Prym variety; Jacobian variety Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Jacobians, Prym varieties The rational points on certain abelian varieties 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 Chowla's conjecture; \(L\)-functions; zeta functions of curves; Carlitz extensions; cyclotomic function fields; abelian varieties over finite fields Zeta and \(L\)-functions in characteristic \(p\), Zeta functions and \(L\)-functions, Cyclotomy, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) Vanishing of Dirichlet \(L\)-functions at the central point 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 finite fields; function field; hyperelliptic curve; moments of quadratic Dirichlet L-function; prime polynomial Andrade, J. C.; Keating, J. P., Mean value theorems for \textit{L}-functions over prime polynomials for the rational function field, Acta Arith., 161, 4, 371-385, (2013) Curves over finite and local fields, Zeta and \(L\)-functions in characteristic \(p\), Relations with random matrices, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) Mean value theorems for \(L\)-functions over prime polynomials for the rational function field | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Tannakian categories; semisimple representations P. Deligne, Semi-simplicit de produits tensoriels en caractristique p. Invent. Math. 197(3) (2014) Group schemes Semi simplicity of tensor products 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 Chia-Liang Sun, Local-global principle of affine varieties over a subgroup of units in a function field, Int. Math. Res. Not.2014 (2014), p. 3075-3095 Rational points, Arithmetic theory of algebraic function fields Local-global principle of affine varieties over a subgroup of units in a function field | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(k\)-Schur functions; Pieri rule; Bruhat order; Macdonald polynomials; Hall-Littlewood polynomials; \(k\)-tableaux Combinatorial aspects of representation theory, Enumerative problems (combinatorial problems) in algebraic geometry, Grassmannians, Schubert varieties, flag manifolds The ABC's of affine Grassmannians and Hall-Littlewood 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 Riemann hypothesis; global function fields; zeta function in characteristic \(p\), Emil Artin; Helmut Hasse; André Weil; Friedrich Karl Schmidt; Max Deuring Research exposition (monographs, survey articles) pertaining to number theory, History of number theory, History of algebraic geometry, Arithmetic theory of algebraic function fields, Nonreal zeros of \(\zeta (s)\) and \(L(s, \chi)\); Riemann and other hypotheses, History of mathematics in the 20th century, Sociology (and profession) of mathematics, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Algebraic functions and function fields in algebraic geometry The Riemann hypothesis in characteristic \(p\) in historical perspective | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic adjoint ideals; tight closure Ta2 S.~Takagi, A characteristic \(p\) analogue of plt singularities and adjoint ideals, Math. Z. \textbf 259 (2008), no. 2, 321--341. Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Singularities in algebraic geometry A characteristic \(p\) analogue of plt singularities and adjoint ideals | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Brauer groups; obstruction to the Hasse principle; Severi-Brauer varieties; quadrics; fields of rational functions Brauer groups of schemes, Global ground fields in algebraic geometry, Varieties over global fields, Arithmetic theory of algebraic function fields The Hasse principle for Brauer groups of function fields on the products of Severi-Brauer varieties and projective 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 Tate-Shafarevich group; local-global principle; patching; central simple algebras; Brauer group; arithmetic duality; function fields; higher-dimensional local fields Izquierdo, Diego Principe local-global pour les corps de fonctions sur des corps locaux supérieurs I \textit{J.~Number Theory}157 (2015) 250--270 Math Reviews MR3373241 Galois cohomology of linear algebraic groups, Galois cohomology, Other nonalgebraically closed ground fields in algebraic geometry, Galois cohomology Local-global principle for function fields over higher local fields. 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 rational functions; indecomposable functions DOI: 10.1070/RM2008v063n02ABEH004530 Polynomials and rational functions of one complex variable, Coverings of curves, fundamental group On analogues of the Ritt theorems for rational functions with two poles | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic 2-Toda tau-function of maps Symmetric functions and generalizations, Dessins d'enfants theory, Enumerative problems (combinatorial problems) in algebraic geometry Non-orientable branched coverings, \(b\)-Hurwitz numbers, and positivity for multiparametric Jack expansions (extended abstract) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Bernoulli numbers; function field of one variable; Von Staudt-Clausen type decomposition theorem Chip Snyder, A concept of Bernoulli numbers in algebraic function fields, J. Reine Angew. Math. 307/308 (1979), 295 -- 308. Arithmetic theory of algebraic function fields, Bernoulli and Euler numbers and polynomials, Algebraic numbers; rings of algebraic integers, Algebraic functions and function fields in algebraic geometry, Elliptic curves A concept of Bernoulli numbers in algebraic function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic toric variety; set-theoretic complete intersection; affine semigroup; p-gluing Complete intersections, Commutative rings and modules of finite generation or presentation; number of generators, Toric varieties, Newton polyhedra, Okounkov bodies, Free semigroups, generators and relations, word problems On binomial set-theoretic complete intersections 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 Bilinear and Hermitian forms, Quadratic forms over general fields, Algebraic theory of quadratic forms; Witt groups and rings, Algebraic functions and function fields in algebraic geometry, Finite-dimensional division rings, Rings with involution; Lie, Jordan and other nonassociative structures Erratum to ``Hermitian \(u\)-invariants over function fields of \(p\)-adic curves'' | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic rational points; inseparable extensions of function field; Mordell conjecture for number fields; genus drop; prime characteristic; non-conservative curves Voloch, J. F.: A Diophantine problem on algebraic curves over function fields of positive characteristic. Bull. soc. Math. France 119, 121-126 (1991) Rational points, Finite ground fields in algebraic geometry, Arithmetic theory of algebraic function fields, Global ground fields in algebraic geometry, Curves in algebraic geometry A Diophantine problem on algebraic curves over function fields of positive characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic surface singularities; rational surfaces; exceptional divisors; resolution; vanishing theorem; Du Bois singularity; differential 1-forms Hara, N.: A characteristic p proof of wahl's vanishing theorem for rational surface singularities. Arch. math. (Basel) 73, 256-261 (1999) Vanishing theorems in algebraic geometry, Singularities of surfaces or higher-dimensional varieties, Singularities in algebraic geometry, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure A characteristic \(p\) proof of Wahl's vanishing theorem for rational surface singularities | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Jacobians; syzygies Anderson, G. W.: Lacunary wronskians on genus one curves. J. number theory 115, 197-214 (2005) Elliptic curves, Jacobians, Prym varieties, Plane and space curves, Syzygies, resolutions, complexes and commutative rings, Algebraic functions and function fields in algebraic geometry Lacunary Wronskians on genus one curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Tate-Shafarevich groups; locally trivial cohomology classes; torsors Galois cohomology of linear algebraic groups, Linear algebraic groups over arbitrary fields, Local ground fields in algebraic geometry Local-global principle for function fields over higher local fields. II. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Albanese; Suslin homology; Rojtman's theorem Algebraic cycles, Applications of methods of algebraic \(K\)-theory in algebraic geometry Albanese varieties, Suslin homology and Rojtman's theorem | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Symmetric functions; Schur functions; Schubert polynomials; resultant Lascoux, A.: Wroñskian of symmetric functions Symmetric functions and generalizations, Grassmannians, Schubert varieties, flag manifolds, Convolution, factorization for one variable harmonic analysis Wrońskian of symmetric 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 \(abc\) conjecture; Cartan's conjecture; Cartan's second main theorem; truncated counting functions; function fields Eisenträger, K., Shlapentokh, A.: Hilbert's tenth problem over function fields of positive characteristic not containing the algebraic closure of a finite field. J. Eur. Math. Soc. (2015) (\textbf{To appear}) Arithmetic theory of algebraic function fields, Diophantine inequalities, Approximation in non-Archimedean valuations, Diophantine equations in many variables The truncated second main theorem of function fields | 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 metaplectic group; metaplectic correspondence; relative trace formula; fundamental lemma; exponential sum; distinguished representations; perverse sheaf Representation-theoretic methods; automorphic representations over local and global fields, Representations of Lie and linear algebraic groups over global fields and adèle rings, Gauss and Kloosterman sums; generalizations, Spectral theory; trace formulas (e.g., that of Selberg), Étale and other Grothendieck topologies and (co)homologies The metaplectic fundamental lemma of Jacquet and Mao in equal 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 Homotopy theory and fundamental groups in algebraic geometry, Families, moduli of curves (algebraic), Positive characteristic ground fields in algebraic geometry On the existence of specialization isomorphisms of admissible fundamental groups 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 Galois group; algebraic fundamental group Abhyankar, S., \textit{Galois theory on the line in nonzero characteristic}, Bull. Amer. Math. Soc. (N.S.), 27, 68-133, (1992) Separable extensions, Galois theory, Coverings of curves, fundamental group Galois theory on the line in nonzero 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 positive characteristic; Frobenius; tight closure; test ideals; Hilbert-Kunz multiplicity Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Singularities in algebraic geometry \(F\)-singularities: applications of characteristic \(p\) methods to singularity theory | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic characterization; counterexample; Kodaira-Ramanujam vanishing Vanishing theorems in algebraic geometry, Minimal model program (Mori theory, extremal rays) A characterization of counterexamples to the Kodaira-Ramanujam vanishing theorem on surfaces 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 Model-theoretic algebra, Classification theory, stability, and related concepts in model theory, Abelian varieties of dimension \(> 1\), Rational points, Algebraic functions and function fields in algebraic geometry On function field Mordell-Lang: the semiabelian case and the socle theorem | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic P. Vojta, On the \textit{ABC} conjecture and Diophantine approximation by rational points, Amer. J. Math. 122 (2000), no. 4, 843-872. Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.), Diophantine inequalities, Varieties over global fields, Heights, Diophantine inequalities, Global ground fields in algebraic geometry, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory On the \(abc\) conjecture and Diophantine approximation by 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 purely transcendental extension; degree of transcendency; unirational fields Ohm, J.: On subfields of rational function fields. Arch. math. 42, 136-138 (1984) Transcendental field extensions, Arithmetic theory of algebraic function fields, Rational points On subfields of rational 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 Gabber's theorem; crystalline differential operators; holonomic D-modules; deformation; p-support; integrable D-module Van den Bergh, M.: On involutivity of \(p\)-support. Int. Math. Res. Notes. \textbf{15}, 6295-6304 (2015) Noncommutative algebraic geometry, Formal methods and deformations in algebraic geometry, Variation of Hodge structures (algebro-geometric aspects) On involutivity of \(p\)-support | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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 maximal function field; Hermitian function field; automorphism group Garcia, A.; Stichtenoth, H.; Xing, C. P., On subfields of the Hermitian function field, \textit{Comp. Math.}, 120, 137-170, (2000) Curves over finite and local fields, Finite ground fields in algebraic geometry, Automorphisms of curves On subfields of the Hermitian function field | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic hyperelliptic curve; asymptotic formula; finite field; Jacobian; torsion point; Betti numbers J. D. Achter, ''Results of Cohen-Lenstra type for quadratic function fields,'' in Computational Arithmetic Geometry, Providence, RI: Amer. Math. Soc., 2008, vol. 463, pp. 1-7. Curves over finite and local fields, Arithmetic theory of algebraic function fields, Finite ground fields in algebraic geometry, Arrangements of points, flats, hyperplanes (aspects of discrete geometry) Results of Cohen-Lenstra type for quadratic 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 Higgs bundles; perverse filtrations Algebraic moduli problems, moduli of vector bundles A cohomological nonabelian Hodge theorem 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 \(\ell\)-adic cohomology; Grothendieck topologies; \(\mathfrak p\)-adic fields Hélène Esnault, Coniveau over \?-adic fields and points over finite fields, C. R. Math. Acad. Sci. Paris 345 (2007), no. 2, 73 -- 76 (English, with English and French summaries). Étale and other Grothendieck topologies and (co)homologies, Rational points, Finite ground fields in algebraic geometry Coniveau over \(\mathfrak p\)-adic fields and points 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 finiteness theorem; function field of characteristic \(p\); Mordell's conjecture; Manin-Mumford conjecture; Lang's conjecture Alexandru Buium and José Felipe Voloch, Lang's conjecture in characteristic \?: an explicit bound, Compositio Math. 103 (1996), no. 1, 1 -- 6. Rational points, Algebraic functions and function fields in algebraic geometry, Finite ground fields in algebraic geometry, Global ground fields in algebraic geometry, Varieties over global fields Lang's conjecture in characteristic \(p\): An explicit 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 crystalline monodromy groups R. Crew: Thep-adic monodromy of a generic abelian scheme in characteristicp. In:p-adic Methods in Number Theory and Algebraic Geometry. Contemporary Mathematics133 (1992), AMS, pp. 59-74 \(p\)-adic cohomology, crystalline cohomology, Finite ground fields in algebraic geometry The \(p\)-adic monodromy of a generic abelian scheme 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 quadratic forms; representation densities; \(p\)-adic Whittaker functions; Kudla's conjectures Hörmann, F., On recursive properties of certain \textit{p}-adic Whittaker functionals, J. Number Theory, 132, 1438-1482, (2012) Arithmetic varieties and schemes; Arakelov theory; heights, Modular and Shimura varieties, Analytic theory (Epstein zeta functions; relations with automorphic forms and functions), Quadratic forms over global rings and fields On recursive properties of certain \(p\)-adic Whittaker 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 valuation; residue field extension; Gauss extension; rational function field; algebraic function field; genus zero; quaternion algebra Valued fields, Transcendental field extensions, General valuation theory for fields, Algebraic functions and function fields in algebraic geometry, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) A ruled residue theorem for function fields of conics | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic quadratic reciprocity; function fields; theta function; Gauss sums K. Merrill and H. Walling, On quadratic reciprocity over function fields, Pacific J. Math. 173 (1996), 147--150. Arithmetic theory of algebraic function fields, Power residues, reciprocity, Theta functions and abelian varieties, Gauss and Kloosterman sums; generalizations On quadratic reciprocity 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 Iwasawa theory; abelian variety; Selmer group; \(\mu\)-invariant; elliptic surface Iwasawa theory, Abelian varieties of dimension \(> 1\), Zeta functions and \(L\)-functions, Elliptic surfaces, elliptic or Calabi-Yau fibrations On the \(\mu\)-invariants of abelian varieties over function fields of positive characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Mordell-Weil rank; height function Wazir, R., On the specialization theorem for abelian varieties, Bull. London Math. Soc.. The Bulletin of the London Mathematical Society, 38, 555-560, (2006) Arithmetic ground fields for abelian varieties, Abelian varieties of dimension \(> 1\), Arithmetic varieties and schemes; Arakelov theory; heights On the specialization theorem 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 fat point; zero-dimensional scheme Projective techniques in algebraic geometry, Divisors, linear systems, invertible sheaves An asymptotic vanishing theorem for generic fat 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 abelian varieties; Tate modules; period lattices; exact sequence of \(G\)-modules Abelian varieties of dimension \(> 1\), Arithmetic ground fields for abelian varieties, Local ground fields in algebraic geometry Periods of ordinary abelian varieties 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 three parameter family of elliptic curves; Mordell-Weil rank four; Prym varieties F. Hazama, Rational points on certain abelian varieties over function fields,J. Number Theory 50 (1995), 278--285. Elliptic curves, Picard schemes, higher Jacobians Rational points on certain abelian varieties 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 Transcendence theory of elliptic and abelian functions, Complex multiplication and abelian varieties A note on Abelian 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 Schottky group; Ax-Lindemann theorem; Pila-Wilkie theorem; nonarchimedean analytic geometry Arithmetic aspects of modular and Shimura varieties, Applications of model theory, \(p\)-adic and power series fields, Transcendence theory of other special functions, Rigid analytic geometry, Modular and Shimura varieties A nonarchimedean Ax-Lindemann theorem | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic rational function fields; Brauer group; embedding problems [So] J. Sonn,On Brauer groups and embedding problems over rational function fields, J. Algebra131 (1990), 631--640. Arithmetic theory of algebraic function fields, Homological methods (field theory), Brauer groups of schemes On Brauer groups and embedding problems 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 Geometric invariant theory, Grassmannians, Schubert varieties, flag manifolds, Stacks and moduli problems, Formal methods and deformations in algebraic geometry, Sheaves in algebraic geometry The abelian-nonabelian correspondence for \(I\)-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 Tate conjecture; Beilinson conjecture; triangulated realisation functors; motives Kahn, B.: The fully faithfulness conjectures in characteristic p (Equivariant) Chow groups and rings; motives, Algebraic cycles, Motivic cohomology; motivic homotopy theory, Finite ground fields in algebraic geometry The full faithfulness conjectures 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 Birch and Swinnerton-Dyer conjecture; global function fields; Weil-étale cohomology \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Étale and other Grothendieck topologies and (co)homologies, Motivic cohomology; motivic homotopy theory A Weil-étale version of the Birch and Swinnerton-Dyer formula 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 quadratic forms; \(u\)-invariant; power series fields; function fields of curves; orderings of fields; patching of fields Scheiderer, Claus: The u-invariant of one-dimensional function fields over real power series fields, Arch. math. (Basel) 93, No. 3, 245-251 (2009) Algebraic theory of quadratic forms; Witt groups and rings, Quadratic forms over general fields, Algebraic functions and function fields in algebraic geometry The \(u\)-invariant of one-dimensional function fields over real power series 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 positive characteristic; pointed stable curve; admissible fundamental group; semi-graph of anabelioids; anabelian geometry Coverings of curves, fundamental group, Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) On the admissible fundamental groups of curves over algebraically closed fields of characteristic \(p>0\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic analytic \(p\)-adic representations; Langland's base change; \(\mathrm{GL}(2)\); pro-\(p\) Iwahori subgroup; Steinberg tensor product Iwasawa theory, Representation-theoretic methods; automorphic representations over local and global fields, Rigid analytic geometry Globally analytic \(p\)-adic representations of the pro-\(p\) Iwahori subgroup of \(\mathrm{GL}(2)\) and base change. II: A Steinberg tensor product theorem | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic F-signature; Hilbert-Kunz multiplicity Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry Bertini theorems for \(F\)-signature and Hilbert-Kunz multiplicity | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.