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ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic central simple algebras; irreducible lattices; rings of invariants; function fields; normal varieties; coordinate rings; reduced traces; Cayley-Hamilton algebras; étale local classes; smooth orders Lieven Le Bruyn, ''Non-smooth algebra with smooth representation variety (asked in MathOverflow)'', Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Finite-dimensional division rings, Algebraic functions and function fields in algebraic geometry, Actions of groups and semigroups; invariant theory (associative rings and algebras) Local structure of Schelter-Procesi smooth orders | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Newman's conjecture; zeros of the Riemann zeta function; \(L\)-functions; function fields; random matrix theory; Sato-Tate conjecture Andrade, J.; Chang, A.; Miller, S. J.: Newman's conjecture in various settings. J. number theory 144, 70-91 (2013) Real zeros of \(L(s, \chi)\); results on \(L(1, \chi)\), Nonreal zeros of \(\zeta (s)\) and \(L(s, \chi)\); Riemann and other hypotheses, Relations with random matrices, Analytic computations, Evaluation of number-theoretic constants, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) Newman's conjecture in various settings | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic zeta function of a number field; arithmetically equivalent number fields; Gassmann triple; permutation representations; integral representations; idele class groups; algebraic curves; Jacobians Zeta functions and \(L\)-functions of number fields, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Jacobians, Prym varieties, Group rings of finite groups and their modules (group-theoretic aspects) A refined notion of arithmetically equivalent number fields, and curves with isomorphic Jacobians | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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 endomorphisms; curves over finite fields; projective curve of genus 5; zeta function Lauter K., Proceedings of the American Mathematical Society 128 (2) pp 369-- (2000) Curves over finite and local fields, Rational points, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Finite ground fields in algebraic geometry Non-existence of a curve over \(\mathbb F_3\) of genus 5 with 14 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 characteristic classes; constructible function; affine polar varieties; Euler obstruction; index theorem; characteristic cycles; stratified Morse theory Schürmann, J.; Tib\(###\)r, M., Index formula for macpherson cycles of affine algebraic varieties, Tohoku Mathematical Journal, 62, 29-44, (2010) Algebraic cycles, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Affine fibrations, Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects), Fibrations, degenerations in algebraic geometry, Global theory of complex singularities; cohomological properties Index formula for MacPherson cycles of affine algebraic 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 generalized Raynaud surfaces; surfaces of general type; global vector fields; characteristic p W. Lang, ``Examples of surfaces of general type with vector fields'' in Arithmetic and Geometry, Vol. II , Progr. Math. 36 , Birkhäuser, Basel, 1983, 167-173. Special surfaces, Group actions on varieties or schemes (quotients) Examples of surfaces of general type with vector 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 higher degree diophantine equations; reducibility; Dickson polynomials; Ritt's second theorem; plane curves Bilu, Yuri F.; Tichy, Robert F., The Diophantine equation \(f(x)=g(y)\), Acta Arith., 95, 3, 261-288, (2000) Curves of arbitrary genus or genus \(\ne 1\) over global fields, Higher degree equations; Fermat's equation, Special algebraic curves and curves of low genus, Arithmetic ground fields for curves The Diophantine equation \(f(x) = g(y)\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Kummer extension; rational function field; splitting of prime divisors; genus; smooth projective curve Xing, C. P.: Multiple Kummer Extensions and the Number of Prime Divisors of Degree One in Function Fields. J. of Pure and Appl. Algebra84, 85--93 (1993) Arithmetic theory of algebraic function fields, Curves over finite and local fields, Algebraic coding theory; cryptography (number-theoretic aspects), Algebraic functions and function fields in algebraic geometry Multiple Kummer extension and the number of prime divisors of degree one 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 nonstandard arithmetic; Galois theory; decision procedures; elementary theory of algebraically closed fields; undecidability; nonstandard model theory; Hilbert's irreducibility theorem; pseudo-algebraically closed fields; PAC fields; ultraproducts; Hilbertian field; absolut Galois group; embedding property M. Fried - M. Jarden , '' Field Arithmetic '', Springer-Verlag , 1986 . MR 868860 | Zbl 0625.12001 Research exposition (monographs, survey articles) pertaining to field theory, Nonstandard arithmetic and field theory, Model-theoretic algebra, Model theory of fields, Field arithmetic, Hilbertian fields; Hilbert's irreducibility theorem, Quantifier elimination, model completeness, and related topics, Ultraproducts and related constructions, Rational points, Decidability and field theory, Nonstandard models of arithmetic Field arithmetic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic good postulation; specialization; degeneration; double line; double point; generic union of lines; sundial; residual scheme; Hartshorne-Hirschowitz theorem; Castelnuovo's inequality; Hilbert function Projective techniques in algebraic geometry, Configurations and arrangements of linear subspaces, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Divisors, linear systems, invertible sheaves Postulation of generic lines and one double line in \(\mathbb {P}^n\) in view of generic lines and one multiple linear space | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic deterministic algorithm; \(p\)-adic modular counting of rational points; sparse polynomials over finite fields; Stickelberger theorem; Gross-Koblitz formula; Gauss sums Wan D.: Modular counting of rational points over finite fields. Found. Comput. Math. 8, 597--605 (2008) Curves over finite and local fields, Finite ground fields in algebraic geometry, Number-theoretic algorithms; complexity, Polynomials over finite fields Modular counting of rational 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 cross-correlations of shift register sequences; number of rational places of function fields defined over finite fields; Goppa algebraic-geometric codes; weight distributions; duals of BCH codes G. Garcia, ''Henning Stichtenoth algebraic function fields over finite fields with many rational places, '' IEEE Trans. Info. Theory, IT-41, 1548--1563 (1995). Curves over finite and local fields, Finite ground fields in algebraic geometry, Geometric methods (including applications of algebraic geometry) applied to coding theory, Shift register sequences and sequences over finite alphabets in information and communication theory Algebraic function fields over finite fields with many rational places | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic primitive roots; Artin's conjecture; function field; Dirichlet density of prime ideals Clark, D. A.; Kuwata, M.: Generalized Artin's conjecture for primitive roots and cyclicity mod p of elliptic curves over function fields. Canad. math. Bull. 38, No. 2, 167-173 (1995) Arithmetic theory of algebraic function fields, Elliptic curves over global fields, Elliptic curves Generalized Artin's conjecture for primitive roots and cyclicity mod \({\mathfrak p}\) of elliptic curves over function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic cyclic function fields; \(L\)-functions unctions of functions fields; mean value of \(L\)-functions; zeta functions; function; class number Rosen, M.: Average value of class numbers in cyclic extensions of the rational function field. In: Number Theory. (Halifax, NS, 1994), pp. 307-323, CMS Conference Proceedings, vol. 15. American Mathematical Society, Providence, RI (1995) Arithmetic theory of algebraic function fields, Class numbers, class groups, discriminants, Rate of growth of arithmetic functions, Other algebras and orders, and their zeta and \(L\)-functions, Class groups and Picard groups of orders, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Finite ground fields in algebraic geometry Average value of class numbers in cyclic extensions of 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 Schmidt's subspace theorem; function fields; Thue's equation Other nonalgebraically closed ground fields in algebraic geometry, Thue-Mahler equations An effective Schmidt's subspace theorem for non-linear forms 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 automorphic form; Drinfeld shtuka; Langlands correspondence; moduli stack of shtukas; global Langlands conjecture; function fields Laumon, G.: Chtoucas de Drinfeld et correspondance de Langlands. Gaz. Math. \textbf{88}, 11-33 (2001) Drinfel'd modules; higher-dimensional motives, etc., Langlands-Weil conjectures, nonabelian class field theory, Arithmetic theory of algebraic function fields, Algebraic moduli problems, moduli of vector bundles Drin'feld shtukas and Langlands correspondence (following Laurent Lafforgue) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Arithmetic theory of algebraic functions; Dedekind-Weber theory; algebraic function fields; linear systems; divisors; Abelian differentials Algebraic functions and function fields in algebraic geometry On the theory of algebraic functions of one variable and \textit{Abel}ian integrals | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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 of bounded height; Diophantine approximation Heights, Metric theory, Rational points, Toric varieties, Newton polyhedra, Okounkov bodies Diophantine approximation and local distribution on a toric surface. 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 algebraic geometric codes; geometric Goppa codes; bounds on linear codes; algebraic curves; function fields; tensor rank; multiplication in finite fields; bilinear complexity Geometric methods (including applications of algebraic geometry) applied to coding theory, Linear codes (general theory), Research exposition (monographs, survey articles) pertaining to information and communication theory, Bounds on codes, Computational aspects of algebraic curves, Multilinear algebra, tensor calculus Coding theory and bilinear complexity | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic class field theory for curves over local fields; abelian fundamental group; class field theory of two-dimensional local fields; reciprocity law Saito S.: Class field theory for curves over local fields. J. Number Theory 21(1), 44--80 (1985) Geometric class field theory, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Class field theory; \(p\)-adic formal groups, Local ground fields in algebraic geometry, Coverings in algebraic geometry, Homotopy theory and fundamental groups in algebraic geometry, Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects) Class field theory for curves over local fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic projective Schur groups; Brauer groups; rational function fields in one variable; cyclic algebras; Kummer extensions; projective Schur algebras; Abelian splitting fields E. Aljadeff and J. Sonn,On the projective Schur group of a field, Journal of Algebra178 (1995), 530--540. Finite-dimensional division rings, Brauer groups of schemes On the projective Schur group of a 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 points in general position; fat points; index of regularity; Hilbert function DOI: 10.1006/jabr.1994.1370 Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series Regularity index of fat points in the projective plane | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic field of definition; Belyi's theorem; minimal surfaces; ruled surfaces; number fields Other nonalgebraically closed ground fields in algebraic geometry, Global ground fields in algebraic geometry, Structure of families (Picard-Lefschetz, monodromy, etc.) Fields of definition and Belyi type theorems for curves and 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 Picard-Borel theorem for quasiprojective spaces; finiteness of; number of holomorphic mappings; Hilbert irreducibility theorem; algebraic group K. LANGMANN, Picard-Borel-Eigenschafte und Anwendungen, Math. Z., 19 (1986), 587-601. Picard-type theorems and generalizations for several complex variables, Proper holomorphic mappings, finiteness theorems, Classical real and complex (co)homology in algebraic geometry, Algebraic groups Picard-Borel-Eigenschaft und Anwendungen. (Picard-Borel property and applications.) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic hypergeometric functions of hypersurfaces; modules with connections; determinant of a connection; proper base change theorem; character of the Gauss-Manin connection; logarithmic connection; hypergeometric functions for relative divisors; theorem of linearity; Kummer characters Terasoma, T.: On the determinant of Gauss-Manin connections and hypergeometric functions of hypersurfaces. Invent. Math.110, 441-471 (1992) Singularities of surfaces or higher-dimensional varieties, Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills), Connections of hypergeometric functions with groups and algebras, and related topics, Appell, Horn and Lauricella functions On the determinant of Gauss-Manin connections and hypergeometric functions of hypersurfaces | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic automorphism groups of algebraic function fields; realization of group as Galois group; Galois theory Henning Stichtenoth, Zur Realisierbarkeit endlicher Gruppen als Automorphismengruppen algebraischer Funktionenkörper, Math. Z. 187 (1984), no. 2, 221 -- 225 (German). Separable extensions, Galois theory, Inverse Galois theory, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry Zur Realisierbarkeit endlicher Gruppen als Automorphismengruppen algebraischer Funktionenkörper | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic 17th problem of Hilbert; Kochen operator; p-adically closed fields; isomorphism theorem; general embedding theorem; Hilbert Nullstellensatz Prestel, A., Roquette, P.: Formally \(p\)-adic Fields, volume 1050 of Lecture Notes in Mathematics. Springer, Berlin (1984) Formally \(p\)-adic fields, Valued fields, Research exposition (monographs, survey articles) pertaining to field theory, Real and complex fields, Relevant commutative algebra, Model theory of fields, Local ground fields in algebraic geometry Formally \(p\)-adic 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 inverse Galois theory; algebraic fundamental group; plane curves; factorization of polynomials; resolution of plane curve singularities; hyperelliptic function fields; construction of Galois extensions; finite group; Galois group; PSL(2,8); unramified covering; affine line Shreeram S. Abhyankar, Square-root parametrization of plane curves, Algebraic geometry and its applications (West Lafayette, IN, 1990) Springer, New York, 1994, pp. 19 -- 84. Inverse Galois theory, Special algebraic curves and curves of low genus, Coverings of curves, fundamental group, Coverings in algebraic geometry Square-root parametrization of plane curves. Appendix by J.-P. Serre | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic IVHS; generic polarized Hodge structure; infinitesimal variation of Hodge structure; infinitesimal Schottky relations; moduli of curves; Gauss linear system; Jacobian system; Torelli theorem for cubic hypersurfaces James Carlson, Mark Green, Phillip Griffiths, and Joe Harris, Infinitesimal variations of Hodge structure. I, Compositio Math. 50 (1983), no. 2-3, 109 -- 205. Phillip Griffiths and Joe Harris, Infinitesimal variations of Hodge structure. II. An infinitesimal invariant of Hodge classes, Compositio Math. 50 (1983), no. 2-3, 207 -- 265. Phillip A. Griffiths, Infinitesimal variations of Hodge structure. III. Determinantal varieties and the infinitesimal invariant of normal functions, Compositio Math. 50 (1983), no. 2-3, 267 -- 324. Transcendental methods, Hodge theory (algebro-geometric aspects), Étale and other Grothendieck topologies and (co)homologies, Transcendental methods of algebraic geometry (complex-analytic aspects), Algebraic moduli problems, moduli of vector bundles Infinitesimal variations of Hodge structure. 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 theta-function; tau-function; classical limit; form factors of fields; Knizhnik-Zamolodchikov equation; finite-gap integration Smirnov F.A. (1993) Form factors, deformed Knizhnik-Zamolodchikov equations and finite-gap integration. Commun. Math. Phys. 155, 459--487 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Theta functions and curves; Schottky problem Form factors, deformed Knizhnik-Zamolodchikov equations and finite-gap integration | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic index theorem; analytic torsion; heat kernel of the Laplacian on Riemann manifolds; Arakelov's theory; hermitean bundles; Mordell conjecture; arithmetic intersection theory for general arithmetic varieties; arithmetic Riemann-Roch theory; arithmetic Chern classes; arithmetic \(K\)- groups; arithmetic Chow groups; Dirac operators on compact Kähler manifolds; super-Dirac operators [15] Faltings (G.).-- Lectures on the arithmetic Riemann-Roch theorem, Annals of Math. Studies, vol. 127, Princeton University Press, 1992. &MR~11 | &Zbl~0744. Arithmetic varieties and schemes; Arakelov theory; heights, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Riemann-Roch theorems, \(K\)-theory of schemes Lectures on the arithmetic Riemann-Roch theorem. Notes taken by Shouwu Zhang | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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; reduction-of-degree theorem; inverting polynomial maps of \(n\)-space; Markus-Yamabe Conjecture; global asymptotic stability; Jacobian Conjecture; polyflows; polynomial vector fields Meisters, G.: Inverting polynomial maps on n-sphere by solving differential equations. Delay and differential equations, 107-155 (1991) Stability of solutions to ordinary differential equations, Polynomial rings and ideals; rings of integer-valued polynomials, Dynamics induced by flows and semiflows, Automorphisms of curves Inverting polynomial maps of \(n\)-space by solving 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 Euler characteristic; Galois module structure; generalization of Taylor's theorem; arithmetic schemes of arbitrary dimension; class group invariant; deRham cohomology; \(\varepsilon\)-factors Chinburg, T.; Pappas, G.; Taylor, M. J.: {\(\epsilon\)}-constants and the Galois structure of de Rham cohomology. II. J. reine angew. Math. 519, 201-230 (2000) Integral representations related to algebraic numbers; Galois module structure of rings of integers, de Rham cohomology and algebraic geometry, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Arithmetic varieties and schemes; Arakelov theory; heights \(\varepsilon\)-constants and the Galois structure of de Rham cohomology. 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 local factors of the \(L\)-function; Riemann zeta function; zetas for motives; absolute arithmetic motives Manin, Y., Lectures on zeta functions and motives (according to deninger and Kurokawa), Astérisque, 4, 228, 121-163, (1995) Generalizations (algebraic spaces, stacks), Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) Lecture on zeta functions and motives (according to Deninger and Kurokawa) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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; Hermitian line bundles; Arakelov theory; volumes of line bundles; big line bundles; Fujita approximation; Hodge index theorem X. Yuan, On volumes of arithmetic line bundles, Compos. Math. 145 (2009), no. 6, 1447-1464. Arithmetic varieties and schemes; Arakelov theory; heights, Varieties over global fields, Heights On volumes of arithmetic line bundles | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic compact orientable smooth manifold; subgroup of two dimensional algebraic cycles in an algebraic model; Poincaré dual of the second Stieffel- Whitney class Bochnak J., Kucharz W.: Algebraic cycles and approximation theorems in real algebraic geometry. Trans. Am. Math. Soc. 337, 463--472 (1993) Algebraic topology on manifolds and differential topology, Realizing cycles by submanifolds, Algebraic cycles, Classical real and complex (co)homology in algebraic geometry, Topology of real algebraic varieties Algebraic cycles and approximation theorems in real algebraic geometry | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic fixed-point-free elements in finite groups; value set of a polynomial; curves over finite fields Guralnick, R., Wan, D.: Bounds for fixed point free elements in a transitive group and applications to curves over finite fields. Isr. J. Math. 101, 255--287 (1997) Polynomials over finite fields, Curves over finite and local fields, Finite ground fields in algebraic geometry, Finite fields (field-theoretic aspects) Bounds for fixed point free elements in a transitive group and applications to curves 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 Determinant; functions of one variable; relations; integral; multiplier; linear differential equation; derivatives; quotients; main theorem; adjoint functions; independent; permutation; Jacobi's equation Determinants, permanents, traces, other special matrix functions, Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems, Relational systems, laws of composition, Linear ordinary differential equations and systems, Research exposition (monographs, survey articles) pertaining to ordinary differential equations, Classical propositional logic, One-variable calculus, General theory for finite permutation groups, Jacobian problem About the determinant relating to several functions of one varaible. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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 structure of even-dimensional quadric bundles; theta- characteristic; generic Torelli theorem Laszlo, Y.: Théorème de Torelli générique pour LES intersections complètes de trois quadriques de dimension paire. Invent. math. 98, 247-264 (1989) Transcendental methods, Hodge theory (algebro-geometric aspects), Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Topological properties in algebraic geometry Théorème de Torelli générique pour les intersections complètes de trois quadriques de dimension paire. (Generic Torelli theorem for the complete intersections of three quadrics of even dimension) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Abel's theorem; integrals of the second and third kind; metric theory of curves Plane and space curves On the geometric applications of Abel'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 alternative algebra; quadratic algebra; composition algebras; algebraic curves of genus zero; locally ringed spaces; Cayley-Dickson doubling process; Zorn's vector matrices; octonion algebras; Zorn algebras; function fields of genus zero; polynomial rings Petersson, H.: Composition algebras over algebraic curves of genus 0. Trans. Am. Math. Soc. 337, 473--491 (1993) Composition algebras, Curves in algebraic geometry, Quadratic algebras (but not quadratic Jordan algebras), Alternative rings Composition algebras over algebraic curves of genus 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 elliptic curves over finite fields; discrete elliptic logarithm function; public key cryptosystems; twisted pair of curves Cryptography, Elliptic curves, Arithmetic ground fields for curves On implementing elliptic curve cryptosystems | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic function field analogue of the theory of elliptic modular curves; Drinfeld modules; Drinfeld's upper half-plane; expansions at the cusps of certain modular forms; Manin-Drinfeld theorem; algebraic modular forms; jacobian Ernst-Ulrich Gekeler, Drinfel\(^{\prime}\)d modular curves, Lecture Notes in Mathematics, vol. 1231, Springer-Verlag, Berlin, 1986. Modular and Shimura varieties, Arithmetic aspects of modular and Shimura varieties, Drinfel'd modules; higher-dimensional motives, etc., Arithmetic ground fields for curves, Modular forms associated to Drinfel'd modules, Global ground fields in algebraic geometry, Research exposition (monographs, survey articles) pertaining to number theory, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Arithmetic theory of algebraic function fields Drinfeld modular curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Hilbert's basis theorem; primary decomposition; structure theorem for finitely generated modules; dimension theory; field theory; going-down; affine algebras; Hilbert's Nullstellensatz; Noether's normalization theorem; principal ideal theorem; systems of parameters; Hilbert's syzygy theorem Sharp R.Y., in ''Commutative Algebra, Math. Sciences Research Inst. Publ. No. 15.'' pp 443-- (1989) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to commutative algebra, Research exposition (monographs, survey articles) pertaining to commutative algebra, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to field theory, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry Steps in commutative algebra | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic combinatorial proofs; second fundamental theorem of invariant theory; flag variety; Schubert variety; determinantal ideals Mulay, S. B.: Determinantal loci and the flag variety. Adv. math. 74, 1-30 (1989) Grassmannians, Schubert varieties, flag manifolds, Determinantal varieties Determinantal loci and the flag variety | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic automorphism groups of function fields; function fields over finite fields Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Automorphisms of curves, Applications to coding theory and cryptography of arithmetic geometry The asymptotic behavior of automorphism groups of function fields over finite fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Chevalley-Warning theorem; generic \(p\)-divisibility; \(L\)-function of exponential sums; zeros of polynomials over finite fields; Ax-Katz bound; weight of support set. Varieties over finite and local fields, Finite ground fields in algebraic geometry On a theorem of Ax and Katz | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic equivalence of matrices; finite determinacy; group actions in positive characteristic; tangent image to orbit Actions of groups on commutative rings; invariant theory, Formal power series rings, Singularities in algebraic geometry A note on finite determinacy of matrices | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Kawamata-Viehweg vanishing theorem in positive characteristic; LC centers; minimal LC centers; adjunction formula; subadjunction; canonical bundle formula; positive characteristic 10.1007/s00209-016-1655-4 Minimal model program (Mori theory, extremal rays), \(3\)-folds On the adjunction formula for 3-folds in characteristic \(p>5\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic exponential height; diophantine equations; Bogomolov-Miyaoka-Yau inequality; arithmetic surface; Arakelov's intersection theory; intersection numbers; Szpiro conjecture; Parshin trick; asymptotic Fermat theorem; boundedness of the torsion of elliptic curves A. N. Parshin, ``The Bogomolov -- Miyaoka -- Yau inequality for the arithmetical surfaces and its applications'', Seḿinaire de theórie des nombres (Paris, 1986 -- 87), Progr. Math., 75, Birkhaüser, Boston, MA, 1988, 299 -- 312 Arithmetic varieties and schemes; Arakelov theory; heights, Elliptic curves, Arithmetic ground fields for surfaces or higher-dimensional varieties, Cubic and quartic Diophantine equations The Bogomolov-Miyaoka-Yau inequality for the arithmetical surfaces and its applications | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Prym map; Torelli problem for Prym varieties; double covering of a general curve; theta divisor; Petri's theorem Debarre, O., Sur le problème de Torelli pour LES variétés de Prym, Amer. J. Math., 111, 1, 111-134, (1989) Algebraic moduli of abelian varieties, classification, Picard schemes, higher Jacobians Sur le problème de Torelli pour les variétés de Prym. (On the Torelli problem for Prym 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 Diophantine systems; Rumely's local-global principle; constructions of varieties over global fields; prescribed local properties; constructions of Galois extensions of local fields with given groups --. --. --. --., ``Applications of local-global principles to arithmetic and geometry'' in Hilbert's Tenth Problem: Relations with Arithmetic and Algebraic Geometry (Ghent, Belgium, 1999) , Contemp. Math. 270 , Amer. Math. Soc., Providence, 2000, 169--186. Varieties over global fields, Global ground fields in algebraic geometry, Algebraic numbers; rings of algebraic integers Applications of local-global principles to arithmetic and geometry | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic extension of ground fields; elliptic fibration; elliptic surface; function field; conjectures of Birch and Swinnerton-Dyer G. R. Grant and E. Manduchi, Root numbers and algebraic points on elliptic surfaces with base \(\mathbbP^1\) , Duke Math. J. 89 (1997), no. 3, 413-422. Rational points, Elliptic surfaces, elliptic or Calabi-Yau fibrations, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) Root numbers and algebraic points on elliptic surfaces with base \(\mathbb{P}^1\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic algebraic \(F\)-representations; retract rational extensions; stably isomorphic extensions; lifting property; Azumaya algebras; fields of invariants; rational function fields; generic division algebras; central simple algebras D. J. Saltman, J.-P. Tignol, Generic algebras with involution of degree 8m, J. Algebra 258 (2002), no. 2, 535--542. Finite-dimensional division rings, Rings with involution; Lie, Jordan and other nonassociative structures, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Geometric invariant theory Generic algebras with involution of degree \(8m\). | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic moduli spaces of Riemann surfaces; mapping class groups; surface bundles; characteristic classes; topological monoid; classifying spaces; Madsen-Weiss theorem Families, moduli of curves (analytic), Topological properties of groups of homeomorphisms or diffeomorphisms, Homology of classifying spaces and characteristic classes in algebraic topology, Loop spaces Lectures on the Madsen-Weiss 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 linear Diophantine equations; quadratic Diophantine equations; multiplicative Diophantine equations; rational points; curves of genus \(0, 1, (>1)\); Runge theorem; Thue-Siegel theorems; p-adic method; representability of integers by binary quadratic forms Th. Skolem, Diophantische Gleichungen, Chelsea, 1950. Diophantine equations, Research exposition (monographs, survey articles) pertaining to number theory, Linear Diophantine equations, Quadratic and bilinear Diophantine equations, Cubic and quartic Diophantine equations, Multiplicative and norm form equations, Representation problems, Sums of squares and representations by other particular quadratic forms, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points, Global ground fields in algebraic geometry, Arithmetic ground fields for curves Diophantische Gleichungen | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic perverse sheaves over finite fields; intersection complex; decomposition theorem; convolution morphism for affine flag varieties Grassmannians, Schubert varieties, flag manifolds, Finite ground fields in algebraic geometry Frobenius semisimplicity for convolution morphisms | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Dirichlet \(L\)-functions; moments of \(L\)-functions; function fields; finite fields; random matrix theory Zeta and \(L\)-functions in characteristic \(p\), Polynomials over finite fields, Relations with random matrices, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Arithmetic theory of polynomial rings over finite fields The integrated fourth moment of Dirichlet \(L\)-functions over 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 Chinese remainder theorem; congruence conditions; infinite number of primes; prime powers E. Torsten, \textit{An infinite version of the Chinese remainder theorem}, Comment. Math. Univ. St. Paul., 40 (1991), pp. 53--59. Multiplicative structure; Euclidean algorithm; greatest common divisors, Rational points An infinite version of the Chinese remainder 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 algebraic-geometry codes; towers of function fields; \(Q\)th-power map Leonard, D. A.: Finding the missing functions for one-point AG codes. IEEE trans. Inform. theory 47, No. 6, 2566-2573 (2001) Geometric methods (including applications of algebraic geometry) applied to coding theory, Applications to coding theory and cryptography of arithmetic geometry, Arithmetic theory of algebraic function fields Finding the defining functions for one-point algebraic-geometry codes | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic cartography; plane trees; Belyi functions; unicellular dessin; function fields of algebraic curves N. Adrianov and G. Shabat, ''Unicellular cartography and Galois orbits of plane trees,'' in: \textit{Geometric Galois Actions}, 2, (1997), pp. 13-24. Enumerative problems (combinatorial problems) in algebraic geometry, Algebraic functions and function fields in algebraic geometry, Group actions on varieties or schemes (quotients) Unicellular cartography and Galois orbits of plane trees | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic real closed fields; real algebraic geometry; Nash functions; orders on rings or field; semi-algebraic sets; real algebraic varieties; Nash varieties; theorem of Nash and Tognoli; Witt rings Bochnak, J.; Coste, M.; Roy, M.-F., Géométrie algébrique Réelle, (1987), Springer-Verlag Berlin Real algebraic and real-analytic geometry, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Ordered rings, Ordered rings, algebras, modules, Non-Archimedean valued fields Géométrie algébrique réelle. (Real algebraic geometry) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic towers of algebraic function fields; genus; number of places Algebraic functions and function fields in algebraic geometry, Curves over finite and local fields, Finite ground fields in algebraic geometry On a tower of Garcia and Stichtenoth | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic bilinear complexity; congruence function fields; descent of function fields; tensor rank; finite fields; Artin--Schreier extensions Ballet, Stéphane; Le Brigand, Dominique; Rolland, Robert, On an application of the definition field descent of a tower of function fields.Arithmetics, geometry, and coding theory (AGCT 2005), Sémin. Congr. 21, 187-203, (2010), Soc. Math. France, Paris Number-theoretic algorithms; complexity, Curves over finite and local fields, Arithmetic theory of algebraic function fields, Arithmetic ground fields for curves On an application of the definition field descent of a tower of function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic group of cycles; Chow group; Hilbert-Samuel polynomial; Euler characteristic; multiplicity; intersection multiplicity; homological conjectures; new intersection theorem; Frobenius map; projective scheme of a multigraded ging; Chern class P. ROBERTS. Multiplicities and Chern classes in local algebra, Cambridge University Press (1998). CMP 99:13 Multiplicity theory and related topics, Research exposition (monographs, survey articles) pertaining to commutative algebra, Algebraic cycles, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series Multiplicities and Chern classes in local algebra | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic characteristic \(p\); \(\varepsilon\)-factor; functional equation of \(L\)- function; Stiefel-Whitney class; Hasse-Witt class; orthogonal representations; motive Saito, The sign of the functional equation of the L-function of an orthogonal motive, Invent. Math. 120 pp 119-- (1995) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Generalizations (algebraic spaces, stacks), Zeta functions and \(L\)-functions The sign of the functional equation of the \(L\)-function of an orthogonal motive | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Nevanlinna theory; Second Main Theorem; hypersurface Value distribution theory in higher dimensions, Meromorphic mappings in several complex variables, Picard-type theorems and generalizations for several complex variables, Hypersurfaces and algebraic geometry A general form of the Second Main Theorem for hypersurfaces | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic algebraic surface; positive characteristic; Frobenius morphism; truncated Witt ring of length 2 10.1007/s13348-014-0130-y Positive characteristic ground fields in algebraic geometry, Families, moduli, classification: algebraic theory On \(W_2\)-lifting of Frobenius of algebraic 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 sums of squares; Pythagoras number; level; purity theorem in cohomology Sums of squares and representations by other particular quadratic forms, Quadratic forms over general fields, Algebraic theory of quadratic forms; Witt groups and rings, Étale and other Grothendieck topologies and (co)homologies Sums of squares in function fields over Henselian local fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Nevanlinna theory; Second Main Theorem Dethloff, G.E., Tan, T.V., Thai, D.D.: An extension of the Cartan--Nochka second main theorem for hypersurfaces. Int. J. Math. 22, 863--885 (2011) Value distribution theory in higher dimensions, Meromorphic mappings in several complex variables, Picard-type theorems and generalizations for several complex variables, Hypersurfaces and algebraic geometry An extension of the Cartan-Nochka Second Main Theorem for hypersurfaces | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic curves in projective spaces; lines; Hilbert function; union of lines Plane and space curves, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series On the Hilbert function of intersections of a hypersurface with general reducible 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 continued rational fractions in hyperelliptic fields; Mumford representation; generalized Jacobians; torsion points of Jacobians Continued fractions and generalizations, Jacobians, Prym varieties On generalized Jacobians and rational continued fractions in the hyperelliptic 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 Belyi's theorem; abc; moduli of curves W. Goldring, ''Unifying themes suggested by Belyi's theorem,'' in: \textit{Number Theory, Analysis and Geometry}, Springer-Verlag (2011), pp. 181-214. Arithmetic aspects of dessins d'enfants, Belyĭ theory, Diophantine equations, Families, moduli of curves (algebraic), Arithmetic ground fields for curves, Coverings of curves, fundamental group Unifying themes suggested by Belyi'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 Newton polygon for the general hyper-Kloosterman sums; monodromy of the deformation equation; products of Gauss sums; L-function; p-adic meromorphic functions Sperber, S., Monodromy, Gauss sums, and the slopes of Frobenius for generalized hyperkloosterman sums, No. 63, 205-215, (1986), Basel Exponential sums, Trigonometric and exponential sums (general theory), Finite ground fields in algebraic geometry Monodromy, Gauss sums, and the slopes of Frobenius for generalized hyperkloosterman sums | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic arithmetic theory of algebraic function fields; towers of function fields; Zink's bound; Hasse-Witt invariant; \(p\)-rank [2]A. Bassa and P. Beelen, The Hasse--Witt invariant in some towers of function fields over finite fields, Bull. Brazil. Math. Soc. 41 (2010), 567--582. Arithmetic theory of algebraic function fields, Curves over finite and local fields, Finite ground fields in algebraic geometry The Hasse-Witt invariant in some towers of function fields over finite fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic isotropy; local-global principle; real field; sums of squares; \(u\)-invariant; pythagoras number; valuation; algebraic function fields Becher, Karim; Grimm, David; Van Geel, Jan: Sums of squares in algebraic function fields over a complete discretely valued field, Pacific J. Math. 267, No. 2, 257-276 (2014) Quadratic forms over general fields, Forms over real fields, Sums of squares and representations by other particular quadratic forms, Valued fields, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Transcendental field extensions, Algebraic functions and function fields in algebraic geometry Sums of squares in algebraic function fields over a complete discretely valued 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 \(L\)-functions; function fields for hyperelliptic curves Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Elliptic curves, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Algebraic functions and function fields in algebraic geometry Note on explicit formulas of \(L\)-functions of some hyperelliptic curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic number of points of complete intersection of a curve; Hilbert function; intersection; Cayley-Bacharach theorem Sodhi, A.: On the intersection of a hypersurface with a finite set of points in pn. J. pure appl. Algebra 74, 85-94 (1991) Complete intersections, Projective techniques in algebraic geometry, Enumerative problems (combinatorial problems) in algebraic geometry On the intersection of a hypersurface with a finite set of points in \({\mathbb{P}}^ n\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic 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 complexity of a Nash function; Bezout theorem; sum of the Betti numbers Ramanakoraisina, R.: Bezout theorem for Nash functions. J. pure appl. Algebra 61, 295-301 (1989) Nash functions and manifolds, Topological properties in algebraic geometry, Relevant commutative algebra Bezout theorem for Nash functions | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(\mathbb G_a\)-invariant rings; locally finite iterative higher derivations; representations of \(\mathbb G_a\) in positive characteristic; Weitzenböck problem Actions of groups on commutative rings; invariant theory, Group actions on affine varieties A note on the Weitzenböck problem in dimension four | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Nash function; normal variety; real closed field; isoalgebraic space; locally semi-algebraic space; topological Zariski main theorem; Riemann extension theorem Real algebraic and real-analytic geometry, Relevant commutative algebra, Topological properties in algebraic geometry Ein semialgebraischer Beweis der topologischen Form des Hauptsatzes von Zariski. (A semi-algebraic proof of the topological form of Zariski's main 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 elliptic function; maximal-commutative algebras in the ring of differential operators; finite-gap solution Research exposition (monographs, survey articles) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to ordinary differential equations, Research exposition (monographs, survey articles) pertaining to partial differential equations, Relationships between algebraic curves and integrable systems, Commutative rings of differential operators and their modules, Lamé, Mathieu, and spheroidal wave functions, Entire and meromorphic solutions to ordinary differential equations in the complex domain Commuting differential operators with elliptic coefficients | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic tower of function fields; genus; rational places; curves with many points A. Garcia, H. Stichtenoth, On the Galois closure of towers, preprint, 2005 Curves over finite and local fields, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Finite ground fields in algebraic geometry Asymptotics for the genus and the number of rational places in towers of function fields over a finite field | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(K\)-theory of sheaves; higher \(K\)-theory; Waldhausen \(K\)-theory of spaces; constructible sheaves; spectral sequence; Waldhausen's approximation theorem \(K\)-theory of schemes, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Algebraic \(K\)-theory of spaces, Spectral sequences, hypercohomology A note on the \(K\)-theory of constructible sheaves over a curve | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic elimination; triangular sets; resultants; Gröbner bases; polynomial equations; Wu-Ritt's characteristic sets; geometric theorem proving; decomposition of algebraic varieties Wang, D., \textit{Elimination Practice: Software Tools and Applications}, (2004), Imperial College Press, London, UK Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Computational aspects in algebraic geometry, Symbolic computation and algebraic computation Elimination practice. Software tools and applications. With CD-ROM. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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 groups of function fields; unramified cohomology; universal spaces; anabelian geometry Galois cohomology, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Cohomology of groups Universal spaces for unramified Galois cohomology | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Gauss sum; Fourier transforms of relatively invariant functions; finite fields; Sato's fundamental theorem; prehomogeneous vector spaces Denef, J.; Gyoja, A.: Character sums associated to prehomogeneous vector spaces. Compositio math. 113, 273-346 (1998) Other character sums and Gauss sums, Homogeneous spaces and generalizations, Gauss and Kloosterman sums; generalizations, Finite ground fields in algebraic geometry Character sums associated to prehomogeneous vector spaces | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Nevanlinna theory; multiplier ideal sheaf; second main theorem Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.), Global ground fields in algebraic geometry, Value distribution theory in higher dimensions, Multiplier ideals Multiplier ideal sheaves, Nevanlinna theory, and Diophantine approximation | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Fermat curve; curve over finite fields; bound for the number of points Mattarei, S., On a bound of garcia and voloch for the number of points of a Fermat curve over a prime field, Finite Fields Appl., 13, 773-777, (2007) Curves over finite and local fields, Finite ground fields in algebraic geometry On a bound of Garcia and Voloch for the number of points of a Fermat curve over a prime 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 higher-dimensional algebraic varieties; birational geometry; birational classification theory; minimal model program; Mori theory; cohomological vanishing theorems; cohomological nonvanishing theorems; Cartier divisors; morphisms from curves; varieties with many rational curves; rational quotient of a variety; cone theorem; contraction theorem; extremal rays Debarre O., Higher-dimensional algebraic geometry, Universitext, Springer-Verlag, New York 2001. Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Surfaces and higher-dimensional varieties, Minimal model program (Mori theory, extremal rays), Divisors, linear systems, invertible sheaves Higher-dimensional algebraic geometry | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic quotients by vector fields; characteristic p; discriminantal; locus; semi-simple derivations; quotient; singularities; Cohen-Macaulay singularities; p-radical descent; class groups of normal domains Aramova, A., Avramov, L.: Singularities of quotients by vector fields in characteristicp. Math. Ann.273, 629--645 (1986) Singularities in algebraic geometry, Group actions on varieties or schemes (quotients), Finite ground fields in algebraic geometry, Geometric invariant theory Singularities of quotients by vector fields in characteristic p | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic polynomial in several variables; Weil zeta function; Igusa zeta function; meromorphic continuation; rationality of zeta functions Meuser, D.: The meromorphic continuation of a zeta function of Weil and igusa type. Invent. math. 85, 493-514 (1986) Zeta functions and \(L\)-functions, Polynomials, Meromorphic functions of several complex variables, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) The meromorphic continuation of a zeta function of Weil and Igusa type | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic coefficients of Hilbert-Kunz function; Hilbert-Kunz density function; \(\beta\)-density function; projective toric variety; height one monomial prime ideal; convex geometry Toric varieties, Newton polyhedra, Okounkov bodies, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Multiplicity theory and related topics, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) \(\beta\)-density function on the class group of projective toric varieties | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(L\)-function; Shimura variety; Hilbert-Blumenthal surface; Tate's conjectures for abelian fields; group of algebraic cycles; intersection cohomology; canonical intermediate-perversity extension; Hirzebruch- Zagier cycles; Tate class Gordon, B. B.: Algebraic cycles in families of abelian varieties over Hilbert -- blumenthal surfaces. J. reine angew. Math. 449, 149-171 (1994) Algebraic theory of abelian varieties, Algebraic cycles, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Modular and Shimura varieties Algebraic cycles in families of abelian varieties over Hilbert-Blumenthal 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 division algebra over function field; sheaf of differentials; maximal order; Riemann-Roch theorem; genus M. van den Bergh and J. Van Geel, Algebraic elements in division algebras over function fields of curves, Israel J. Math., 52 (1985), no. 1-2, 33--45. Zbl 0596.12012 MR 0815599 Quaternion and other division algebras: arithmetic, zeta functions, Transcendental field extensions, Skew fields, division rings, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Arithmetic theory of algebraic function fields, Division rings and semisimple Artin rings, Algebraic functions and function fields in algebraic geometry Algebraic elements in division algebras over function fields of curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Picard-Borel theorem for quasiprojective spaces; finiteness of; number of holomorphic mappings; Hilbert irreducibility theorem; algebraic group Langmann, K.: Picard-Borel-Eigenschaft und Anwendungen. Math. Z.192, 587-601 (1986) Picard-type theorems and generalizations for several complex variables, Proper holomorphic mappings, finiteness theorems, Classical real and complex (co)homology in algebraic geometry, Algebraic groups Picard-Borel-Eigenschaft und Anwendungen. (Picard-Borel property and applications.) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic noncommutative regular projective curve; noncommutative function field; Auslander-Reiten translation; Picard-shift; ghost group; maximal order over a scheme; ramification; Witt curve; noncommutative elliptic curve; Klein bottle; Fourier-Mukai partner; weighted curve; orbifold Euler characteristic; noncommutative orbifold; tubular curve; finite dimensional algebra; Beilinson theorem Kussin, Dirk, Weighted noncommutative regular projective curves, J. Noncommut. Geom., 10, 4, 1465-1540, (2016) Noncommutative algebraic geometry, Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers, Abelian categories, Grothendieck categories, Elliptic curves, Orders in separable algebras, Klein surfaces Weighted noncommutative regular projective 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 local fields; irreducible algebraic varieties; rationality problem for group varieties; semisimple algebraic groups; almost simple algebraic groups; number fields; global function fields; Tits indices Chernousov, V. I.; Platonov, V. P.: The rationality problem for semisimple group varieties. J. reine angew. Math. 504, 1-28 (1998) Linear algebraic groups over arbitrary fields, Linear algebraic groups over local fields and their integers, Linear algebraic groups over global fields and their integers, Group actions on varieties or schemes (quotients), Rational and birational maps The rationality problem for semisimple group varieties | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic second main theorem; algebraically nondegenerate meromorphic maps; slowly moving hypersurface targets Dethloff, G.; Tan, T. V., A second main theorem for moving hypersurface targets, Houston J. Math., 37, 79-111, (2011) Value distribution theory in higher dimensions, Meromorphic mappings in several complex variables, Picard-type theorems and generalizations for several complex variables, Hypersurfaces and algebraic geometry A second main theorem for moving hypersurface targets | 0 |
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