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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 tropical geometry; Brill- Noether theory; tropical Brill-Noether theory F. Cools, J. Draisma, S. Payne, and E. Robeva, \textit{A tropical proof of the Brill--Noether theorem}, Adv. Math., 230 (2012), pp. 759--776, . Riemann surfaces; Weierstrass points; gap sequences A tropical proof of the Brill-Noether 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 Riemann-Hilbert correspondences; representations of the fundamental group; Kuo-Tsai Chen expansion; iterated integrals Carlos Simpson, Transcendental aspects of the Riemann-Hilbert correspondence. \textit{Illinois J. of Math. }34 (1990), 368--391. Ordinary differential equations in the complex domain, Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc., Riemann surfaces; Weierstrass points; gap sequences Transcendental aspects of the Riemann-Hilbert correspondence | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic places of algebraic function fields; description of holomorphy ring of function fields; proof of Ax-Kochen-Ershov theorem; approximation theorems Kuhlmann, F. -V.; Prestel, A.: On places of algebraic function fields. J. reine angew. Math. 353, 181-195 (1984) General valuation theory for fields, Arithmetic theory of algebraic function fields, Model theory of fields, Transcendental field extensions, Real algebraic and real-analytic geometry, Model-theoretic algebra, Local ground fields in algebraic geometry Places of algebraic function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic moduli space of curves; Weierstrass points; stratification of the moduli space of curves E. Arbarello and G. Mondello, ''Two remarks on the Weierstrass flag,'' in: Compact Moduli spaces and Vector Bundles, Contemp. Math. (Proceedings) series, vol. 564, Amer. Math. Soc., Providence, RI, 2012, 137--144. Families, moduli of curves (algebraic), Riemann surfaces; Weierstrass points; gap sequences Two remarks on the Weierstrass flag | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic weights of Weierstrass points; sequence of non-gaps; compact Riemann surface Riemann surfaces; Weierstrass points; gap sequences, Special algebraic curves and curves of low genus, Compact Riemann surfaces and uniformization Weights of Weierstrass points in double coverings of curves of genus one or two | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Elliptic curves, Riemann surfaces; Weierstrass points; gap sequences, Special algebraic curves and curves of low genus, Jacobians, Prym varieties, Arithmetic ground fields for curves, Rational points, Arithmetic varieties and schemes; Arakelov theory; heights, Arithmetic algebraic geometry (Diophantine geometry), Algebraic coding theory; cryptography (number-theoretic aspects), Proceedings of conferences of miscellaneous specific interest Advances on superelliptic curves and their applications. Based on the NATO Advanced Study Institute (ASI), Ohrid, Macedonia, 2014 | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic tropical curve; weighted graph; Riemann-Roch A. Gathmann, M. Kerber, A Riemann-Roch theorem in tropical geometry. \textit{Math. Z}. \textbf{259} (2008), 217-230. MR2377750 (2009a:14014) Zbl 1187.14066 Riemann surfaces; Weierstrass points; gap sequences, Graphs and abstract algebra (groups, rings, fields, etc.), Paths and cycles A Riemann-Roch theorem in tropical 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 holomorphic vector bundle on a Riemann surface; holomorphic connection I. Biswas, A criterion for the existence of a flat connection on a parabolic vector bundle, \textit{Adv. Geom.,}\textbf{2} (2002), 231-241. Vector bundles on curves and their moduli, Differentials on Riemann surfaces, Holomorphic bundles and generalizations, Riemann surfaces; Weierstrass points; gap sequences A criterion for the existence of a flat connection on a parabolic vector bundle | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic function field; rational place; ray class field; algebraic-geometry code; Artin-Schreier extension; Kummer extension; linear complexity; almost perfect sequence; low-discrepancy sequence; quasi-Monte Carlo method H. Niederreiter and C.~P. Xing, \textit{Rational Points on Curves over Finite Fields: Theory and Applications}, London Mathematical Society Lecture Note Series 285, Cambridge University Press, Cambridge, 2001. Curves over finite and local fields, Research exposition (monographs, survey articles) pertaining to number theory, Arithmetic theory of algebraic function fields, Class field theory, Rational points, Geometric methods (including applications of algebraic geometry) applied to coding theory, Pseudo-random numbers; Monte Carlo methods, Arithmetic ground fields for curves, Finite ground fields in algebraic geometry, Cryptography Rational points on curves over finite fields. Theory 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 Riemann surfaces; \(AF\)-algebras Nikolaev, I., Riemann surfaces and \textit{AF}-algebras, \textit{Annals of Functional Analysis}, 7, 2, 371-380, (2016) Noncommutative topology, Riemann surfaces; Weierstrass points; gap sequences, Categories, functors in functional analysis Riemann surfaces and \(AF\)-algebras | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic linear forms in logarithms; commutative algebraic group; rational case; periodic case; Baker's method; Hermitian vector bundles; Siegel's lemma; \(p\)-adic interpolation Linear forms in logarithms; Baker's method, Approximation in non-Archimedean valuations, Arithmetic varieties and schemes; Arakelov theory; heights Linear independence measures of logarithms on a commutative algebraic group in the rational case | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Abelian integrals; generic polynomials; polynomial 1-forms; multiplicity of zeros; cyclicity of regular cycles; polynomial Hamiltonian vector field Mardešić, P, An explicit bound for the multiplicity of zeros of generic abelian integrals, Nonlinearity, 4, 845-852, (1991) Bifurcations of limit cycles and periodic orbits in dynamical systems, Riemann surfaces; Weierstrass points; gap sequences An explicit bound for the multiplicity of zeros of generic Abelian 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 algebraic torus; generalized Dirichlet units theorem; logarithmic map; sphere packing Toric varieties, Newton polyhedra, Okounkov bodies, Combinatorial aspects of packing and covering, Lattice packing and covering (number-theoretic aspects), Arithmetic theory of algebraic function fields Sphere packings centered at \(S\)-units of algebraic tori | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Wronskian; abc conjecture; function fields Hsia, L. -C.; Wang, J. T. -Y.: The ABC theorem for higher-dimensional function fields. Trans. amer. Math. soc. 356, No. 7, 2871-2887 (2004) Approximation in non-Archimedean valuations, Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.), Diophantine inequalities, Arithmetic theory of algebraic function fields The \(abc\) theorem for higher-dimensional function fields | 1 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic function field of a smooth projective curve; characteristic \(p\); \(abc\) theorem [Sc] T. Scanlon: ''The abc theorem for commutative algebraic groups in characteristic p'', Int. Math. Res. Notices, No. 18, (1997), pp. 881--898. Arithmetic ground fields for abelian varieties, Finite ground fields in algebraic geometry, Algebraic functions and function fields in algebraic geometry The \(abc\) theorem for commutative algebraic groups 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 \(abc\) conjecture; function fields; tautological inequality; Ahlfors' theory Gasbarri, C.: The strong \(abc\) conjecture over function fields, after McQuillan and Yamanoi. Séminaire Bourbaki. 60, 2007/08, n. 989 Diophantine inequalities, Research exposition (monographs, survey articles) pertaining to number theory, Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.), Families, moduli, classification: algebraic theory, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory The strong \(abc\) conjecture over function fields (after McQuillan and Yamanoi) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(abc\)-theorem; \(abc\)-estimate; \(abc\)-variety Alexandru Buium, The \?\?\? theorem for abelian varieties, Internat. Math. Res. Notices 5 (1994), 219 ff., approx. 15 pp., issn=1073-7928, review=\MR{1270136}, doi=10.1155/S1073792894000255,. Algebraic theory of abelian varieties The \(abc\) theorem for abelian varieties | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic real \(\tau\)-conjecture; sparse polynomials; real algebraic geometry Koiran, P., Portier, N., Tavenas, S.: A Wronskian approach to the real \(\tau \)-conjecture. Effective Methods in Algebraic Geometry (MEGA). http://arxiv.org/abs/1205.1015 (2013) Symbolic computation and algebraic computation, Real algebraic and real-analytic geometry, Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.) A Wronskian approach to the real \(\tau\)-conjecture | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic characteristic p; addition law; sums of Abelian integrals on algebraic curves Formal groups, \(p\)-divisible groups, Algebraic functions and function fields in algebraic geometry, Finite ground fields in algebraic geometry On the converse of Abel's theorem 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 proof of the conjecture of Birch and Swinnerton-Dyer for an abelian variety over a function field; Hasse-Weil zeta-function; Tate-Shafarevich group; prime characteristic Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Finite ground fields in algebraic geometry, Arithmetic theory of algebraic function fields, Arithmetic ground fields for abelian varieties On the Birch and Swinnerton-Dyer conjecture for abelian varieties over function fields in characteristic \(p>0\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Wieferich's criterion; first case of Fermat's last theorem; abc- conjecture; points of infinite order; elliptic curves; j-invariants Silverman, Joseph H., Wieferich's criterion and the \(abc\)-conjecture, J. Number Theory, 30, 2, 226-237, (1988) Higher degree equations; Fermat's equation, Elliptic curves Wieferich's criterion and the abc-conjecture | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Riemann-Roch theorem; function fields; Fourier transforms; adelic Poisson summation formula Li, X-J, A note on the Riemann-Roch theorem for function fields, No. 2, 567-570, (1996), Basel Arithmetic theory of algebraic function fields, Riemann-Roch theorems, Algebraic functions and function fields in algebraic geometry A note on the Riemann-Roch theorem for function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic quotients by vector fields; class groups of normal domains; Cohen- Macaulay singularity; characteristic p; discriminantal locus; quotient singularities; complete intersection; p-radical descent Aramova, A; Avramov, L, Singularities of quotients by vector fields in characteristic \(p>0\), Math. Ann., 273, 629-645, (1986) Singularities in algebraic geometry, Group actions on varieties or schemes (quotients), Finite ground fields in algebraic geometry, Geometric invariant theory Singularities of quotients by vector fields in characteristic \(p\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic abelian varieties; positive characteristic; Tate-Shafarevich group; Birch and Swinnerton-Dyer conjecture W. Bauer. On the conjecture of Birch and Swinnerton-Dyer for abelian vari eties over function fields in characteristic p > 0. Invent. Math., 108:263--287, 1992. Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Arithmetic ground fields for abelian varieties On the conjecture of Birch and Swinnerton-Dyer for abelian varieties over function fields in characteristic \(p>0\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic local field; prehomogeneous vector space; functional equations of zeta distributions Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), Grassmannians, Schubert varieties, flag manifolds Fundamental theorem of prehomogeneous vector spaces 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 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 Hochschild homology; HKR decomposition; derived algebraic geometry Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), \(K\)-theory and homology; cyclic homology and cohomology A remark on the Hochschild-Kostant-Rosenberg theorem 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 fixed points of automorphism; q-Weierstrass points Garcia, A.--Remarks on fixed points of automorphisms and higher-order Weierstrass points in prime characteristic. Manuscripta Math. 69, 301--303 (1990) Riemann surfaces; Weierstrass points; gap sequences, Automorphisms of curves Remarks on fixed points of automorphisms and higher-order Weierstrass points in prime characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Wronski matrix; Wronskian; linear ordinary differential equations; ramification loci of linear systems; complex Grassmanian varieties 8. L. Gatto and I. Scherbak, On generalized Wronskians, in Contributions to Algebraic Geometry, P. Pragacz, ed., Impanga Lecture Notes, EMS Congress Series Report (2012), pp. 257-296, doi: 10.4171/114, http://arxiv.org/pdf/1310.4683v1.pdf. Grassmannians, Schubert varieties, flag manifolds, Classical problems, Schubert calculus, Linear ordinary differential equations and systems On generalized Wrońskians | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic elliptic curve; finite characteristic; Weierstraß \(\zeta\)-function; addition theorem; logarithmic derivative of the Mazur-Tate \(\sigma\)-function; Tate curve; universal vectorial extension Elliptic curves over local fields, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Local ground fields in algebraic geometry An analogue of the Weierstrass \(\zeta\)-function in characteristic \(p\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic arithmetic dynamics; primitive divisors; abc conjecture; Vojta's \(1+\epsilon\) conjecture Gratton, C.; Nguyen, K.; Tucker, T. J., ABC implies primitive prime divisors in arithmetic dynamics, \textit{Bull. Lond. Math. Soc.}, 45, 1194-1208, (2013) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps, Heights, Global ground fields in algebraic geometry \(ABC\) implies primitive prime divisors in arithmetic dynamics | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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 \(p\); \(p\)-cohomological dimension; vector bundle; vanishing theorems; Witt vectors Vanishing theorems in algebraic geometry, Finite ground fields in algebraic geometry Relative vanishing theorems 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 transfer principle; absolute Galois group of the rational function field; real closed field; Tarski principle L. van den Dries and P. Ribenboim, ''An application of Tarski's principle to absolute Galois groups of function fields,'' Ann. Pure Appl. Log., 33, 83--107 (1987). Separable extensions, Galois theory, Ultraproducts and field theory, Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Real algebraic and real-analytic geometry An application of Tarski's principle to absolute Galois groups of function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic absolute Galois group of rational function field; real closed field; Tarski principle; transfer principle L P.D. v.d. Dries and P. Ribenboim , An application of Tarski's principle to absolute Galois groups of function fields , Queen's Mathematical Preprint No. 1984-8. Separable extensions, Galois theory, Ultraproducts and field theory, Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Real algebraic and real-analytic geometry An application of Tarski's principle to absolute Galois groups of function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic harmonic analysis; Paley-Wiener; Schwartz space; symmetric spaces; spherical varieties; relative Langlands program Research exposition (monographs, survey articles) pertaining to topological groups, Analysis on \(p\)-adic Lie groups, Harmonic analysis on homogeneous spaces, Compactifications; symmetric and spherical varieties Paley-Wiener theorems for a \(p\)-adic spherical 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 Ailon-Rudnick theorem Heights, Varieties over global fields, Global ground fields in algebraic geometry On a variant of the Ailon-Rudnick theorem in finite characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Jacobian; finite ground field [A-I] Anderson, G., Indik, R.: On primes of degree one in function fields. Proc. Am. Math. Soc. in press (1984) Jacobians, Prym varieties, Finite ground fields in algebraic geometry, Arithmetic theory of algebraic function fields, Arithmetic ground fields for curves On primes 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 abelian variety; inseparable; torsion point; function field; positive DOI: 10.1215/00294527-2143943 Arithmetic ground fields for abelian varieties, Rationality questions in algebraic geometry, Inseparable field extensions Infinitely \(p\)-divisible points on abelian varieties defined over function fields of characteristic \(p>0\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic cyclotomic function fields; arithmetic of Witt vectors; Artin-Schreier extensions; maximal abelian extension; ramification theory Cyclotomic function fields (class groups, Bernoulli objects, etc.), Cyclotomic extensions, Class field theory, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry Analog of the Kronecker-Weber theorem in positive characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic curves on algebraic surfaces; Severi varieties Tyomkin, I, On zariski's theorem in positive characteristic, J. Eur. Math. Soc. (JEMS), 15, 1783-1803, (2013) Enumerative problems (combinatorial problems) in algebraic geometry, Families, moduli of curves (algebraic), Local deformation theory, Artin approximation, etc., Grassmannians, Schubert varieties, flag manifolds, Arithmetic problems in algebraic geometry; Diophantine geometry On Zariski's theorem in positive characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Wronskians; Wronski-Map; ribbon tableaux Purbhoo, K, Wronskians, cyclic group actions, and ribbon tableaux, Trans. Am. Math. Soc., 365, 1977-2030, (2013) Enumerative problems (combinatorial problems) in algebraic geometry, Combinatorial aspects of representation theory, Real algebraic sets Wronskians, cyclic group actions, and Ribbon tableaux | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic rational function; prescribed ramification; positive characteristic Brian Osserman, Rational functions with given ramification in characteristic \?, Compos. Math. 142 (2006), no. 2, 433 -- 450. Coverings of curves, fundamental group, Enumerative problems (combinatorial problems) in algebraic geometry, Classical problems, Schubert calculus Rational functions with given ramification 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 singular primes in function fields; extension of field of constants; genus Stöhr, K-O, On singular primes in function fields, Arch. Math., 50, 156-163, (1988) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry On singular primes 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 function fields; finite fields; hyperelliptic curves; lower bounds for moments; moments of \(L\)-functions; quadratic Dirichlet \(L\)-functions; random matrix theory Andrade, J. C.: Rudnick and soundararajan's theorem for function fields. Finite fields appl. 37, 311-327 (2016) Zeta and \(L\)-functions in characteristic \(p\), Curves over finite and local fields, Relations with random matrices, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) Rudnick and Soundararajan's theorem for function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic failure of Bertini's theorem; singular fibration in positive characteristic Stöhr, K. -O.: On Bertini's theorem in characteristic p for families of canonical curves in \(P(p - 3)/2\). Proc. lond. Math. soc. (3) 89, 291-316 (2004) Families, moduli of curves (algebraic), Singularities of curves, local rings, Arithmetic ground fields for curves, Projective techniques in algebraic geometry On Bertini's theorem in characteristic \(p\) for families of canonical curves in \(\mathbb{P}^{(p-3)/2}\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials On a theory of the \(b\)-function in positive characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(abc\) conjecture; function field; Kobayashi hyperbolicity; Nevanlinna theory; rational points [N] J. Noguchi,Nevanlinna-Cartan theory over function fields and a Diophantine equation, Journal für die reine und angewandte Mathematik487 (1997), 61--83. Varieties over global fields, Rational points, Nevanlinna theory; growth estimates; other inequalities of several complex variables, Global ground fields in algebraic geometry Nevanlinna-Cartan theory over function fields and a diophantine equation | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Bertini's theorem; Grassmannian; Serre splitting theorem Divisors, linear systems, invertible sheaves, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Projective techniques in algebraic geometry On the Bertini theorem in arbitrary characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic differential operator; characteristic \(p\); Jacobian \(n\)-tuples; Jacobian conjecture Jeffrey Lang and Satya Mandal, On Jacobian \(n\)-tuples in characteristic \(p\) , Rocky Mountain J. Math. 23 (1993), 271-279. Polynomial rings and ideals; rings of integer-valued polynomials, Relevant commutative algebra On Jacobian \(n\)-tuples 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 Grauert-Riemenschneider theorem; sheaf cohomology; Frobenius splitting; vanishing theorems V. B. Mehta and Wilberd van der Kallen, On a Grauert-Riemenschneider vanishing theorem for Frobenius split varieties in characteristic \?, Invent. Math. 108 (1992), no. 1, 11 -- 13. Vanishing theorems in algebraic geometry, Finite ground fields in algebraic geometry On a Grauert-Riemenschneider vanishing theorem for Frobenius split varieties in characteristic \(p\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic abelian varieties; global fields; function fields; \(L\)-function; Birch and Swinnerton-Dyer conjecture; heights; torsion points; Néron models; Brauer-Siegel theorem Hindry, M.; Pacheco, A., An analogue of the Brauer-Siegel theorem for abelian varieties in positive characteristic, Mosc. Math. J., 16, 1, 45-93, (2016) Elliptic curves over global fields, Arithmetic ground fields for abelian varieties, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Global ground fields in algebraic geometry, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Heights An analogue of the Brauer-Siegel theorem for abelian varieties in positive characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(abc\) conjecture; irreducibility of \(abc\) polynomials Borisov, A., On some polynomials allegedly related to the \(abc\) conjecture, Acta. Arith. 84, (1998), no. 2, 109-128. Polynomials (irreducibility, etc.), Arithmetic problems in algebraic geometry; Diophantine geometry, Polynomials in number theory On some polynomials allegedly related to the \(abc\) conjecture | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Grassmann embedding; Veronese embedding; morphisms; Klein quadric; Plücker coordinates; characteristic 2 Lie geometries in nonlinear incidence geometry, Linear algebraic groups over arbitrary fields, Grassmannians, Schubert varieties, flag manifolds A remark on Grassmann and Veronese embeddings of \(\mathbb{P}^3\) in characteristic 2 | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic vanishing cycles; nearby cycles; local Fourier transformation; perverse sheaf Étale and other Grothendieck topologies and (co)homologies A Thom-Sebastiani theorem 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 fundamental group; unramified covering; function field; Galois group David Harbater. Fundamental groups and embedding problems in characteristic \(p\). In: Recent developments in the inverse Galois problem (Seattle, WA, 1993), 353--369, Contemp.\ Math., vol.~186, Amer.\ Math.\ Soc., Providence, RI, 1995. MR1352282 Coverings of curves, fundamental group, Minimal model program (Mori theory, extremal rays), Inverse Galois theory, Algebraic functions and function fields in algebraic geometry Fundamental groups and embedding problems 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 Riemann-Hurwitz; logarithmic-Chern class; Euler characteristic Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry A Riemann-Hurwitz theorem for the algebraic Euler characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Fermat varieties; Stickelberger's theorem; filtered \(\varphi\)-modules; Newton polygon; Hodge polygon; crystalline cohomology; Jacobi sum; Gauss sum Higher degree equations; Fermat's equation, Iwasawa theory, \(p\)-adic cohomology, crystalline cohomology A small remark on the filtered \(\varphi\)-module of Fermat varieties and Stickelberger'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 Adams-Riemann-Roch theorem; Bott class; relative Frobenius morphism Riemann-Roch theorems, Applications of methods of algebraic \(K\)-theory in algebraic geometry, \(K\)-theory of schemes, Riemann-Roch theorems, Chern characters On the Adams-Riemann-Roch theorem in positive characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic derivatives of relative Wronskians; families of Weierstrass points; coarse moduli spaces of curves; Chow classes Gatto L., Trans. Amer. Math. Soc. 351 pp 2233-- (1999) Riemann surfaces; Weierstrass points; gap sequences, Families, moduli of curves (algebraic), Families, moduli of curves (analytic), Fine and coarse moduli spaces Derivatives of Wronskians with applications to families of special Weierstrass 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 Hochschild-Kostant-Rosenberg (HKR) theorems; HKR spectral sequences; positive characteristic (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.), de Rham cohomology and algebraic geometry, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), \(K\)-theory and homology; cyclic homology and cohomology Counterexamples to Hochschild-Kostant-Rosenberg 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 valuation vector; repartition; Riemann-Roch theorem for algebraic curves with singularities DOI: 10.1007/BF01169340 Singularities of curves, local rings, Riemann-Roch theorems, Arithmetic theory of algebraic function fields On the Riemann-Roch theorem for orders in the ring of valuation vectors of a function field | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic algebraic independence; differential algebraic groups; logarithmic derivatives; Gauss-Manin connections; differential Galois theory D. Bertrand and A. Pillay, A Lindemann-Weierstrass theorem for semi-abelian varieties over function fields, J. Amer. Math. Soc. 23 (2010), no. 2, 491-533. Differential algebra, Results involving abelian varieties, Algebraic theory of abelian varieties, Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain A Lindemann-Weierstrass theorem for semi-abelian varieties over function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic finiteness of integral points; prime characteristic; abelian variety over a function field Voloch, J.F., Diophantine approximation on abelian varieties in characteristic \textit{p}, Amer. J. math., 117, 4, 1089-1095, (1995) Varieties over global fields, Algebraic theory of abelian varieties, Abelian varieties of dimension \(> 1\), Algebraic functions and function fields in algebraic geometry, Diophantine approximation, transcendental number theory Diophantine approximation on abelian varieties in characteristic \(p\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Mordell-Lang conjecture; semiabelian variety; characteristic \(p\); \(p\)- rank of a quotient Abramovich, D; Voloch, JF, Toward a proof of the Mordell-lang conjecture in characteristic \(p\), Int. Math. Res. Not., 5, 103-115, (1992) Arithmetic ground fields for abelian varieties, Global ground fields in algebraic geometry, Local ground fields in algebraic geometry Toward a proof of the Mordell-Lang conjecture 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 \(\mathbb Z_4\)-code; difference set; planar function; projective plane; semifield; finite field; algebraic curve K.-U. Schmidt, Y. Zhou, Planar functions over fields of characteristic two. \textit{J. Algebraic Combin}. \textbf{40} (2014), 503-526. MR3239294 Zbl 1319.51008 Finite affine and projective planes (geometric aspects), Linear codes (general theory), Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.), Algebraic coding theory; cryptography (number-theoretic aspects), Algebraic functions and function fields in algebraic geometry Planar functions over fields of characteristic two | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Milnor \(K\)-groups; Bloch's higher Chow groups; Gersten's conjecture; Hilbert's theorem 90; logarithmic de Rham-Witt groups Thomas Geisser & Marc Levine, ``The \(K\)-theory of fields in characteristic \(p\)'', Invent. Math.139 (2000) no. 3, p. 459-493 Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Algebraic cycles, \(K\)-theory of schemes, Computations of higher \(K\)-theory of rings, Higher symbols, Milnor \(K\)-theory The \(K\)-theory of 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 \(p\)-extensions of algebraic function fields; Artin-Schreier theory; characteristic \(p\); genus; number of rational points; coding theory; gap number Arnaldo Garcia and Henning Stichtenoth, Elementary abelian \(p\)-extensions of algebraic function fields, Manuscr. Math. 72 (1991), 67--79. Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Geometric methods (including applications of algebraic geometry) applied to coding theory, Riemann surfaces; Weierstrass points; gap sequences, Computational aspects of algebraic curves Elementary abelian \(p\)-extensions of algebraic function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic abelian varieties; Birch and Swinnerton-Dyer conjecture; étale cohomology; flat cohomology; crystalline Kato, K.; Trihan, F., On the conjecture of Birch and Swinnerton-Dyer in characteristic \(p > 0\), Invent. Math., 153, 537-592, (2003) \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), \(p\)-adic cohomology, crystalline cohomology On the conjectures of Birch and Swinnerton-Dyer in characteristic \(p>0\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic affine algebraic geometry; polynomial automorphism; tame automorphism; tame subgroup; Derksen group; finite field Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Finite fields (field-theoretic aspects), Finite automorphism groups of algebraic, geometric, or combinatorial structures Generalization of a counterexample to Derksen's theorem in characteristic two | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic ramification; arithmetic dynamics; ABC conjecture Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps, Heights, Global ground fields in algebraic geometry \(ABC\) implies a Zsigmondy principle for ramification | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(F\)-isocrystals; monodromy; overconvergent crystalline Dieudonné modules Arithmetic ground fields for abelian varieties, \(p\)-adic cohomology, crystalline cohomology, Homotopy theory and fundamental groups in algebraic geometry The \(p\)-adic monodromy group of abelian varieties over global function fields 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 Weierstrass pair; algebraic curve; gap sequence; Wronskian Gotoh, T.: Wronskian matrices and Weierstrass gap set for a pair of points on a compact Riemann surface, Kodai math. J. 34, 317-337 (2011) Riemann surfaces; Weierstrass points; gap sequences Wronskian matrices and Weierstrass gap set for a pair of points on a compact Riemann surface | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Kodaira vanishing theorem; homogeneous space; prime characteristic Lauritzen N., Rao A.: Elementary counterexamples to Kodaira vanishing in prime characteristic. Proc. Indian Acad. Sci. Math. Sci. 107, 21--25 (1997) Vanishing theorems in algebraic geometry, Homogeneous spaces and generalizations, Finite ground fields in algebraic geometry Elementary counterexamples to Kodaira vanishing in prime characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic sheaf cohomology; Frobenius splitting; Grauert-Riemenschneider theorem; vanishing theorems V. B. Mehta, W. van der Kallen, On a Grauert--Riemenschneider vanishing theorem for Frobenius split varieties in characteristic p, Invent. Math. 108 (1992), no. 1, 11--13. Vanishing theorems in algebraic geometry, Finite ground fields in algebraic geometry On a Grauert-Riemenschneider vanishing theorem for Frobenius split varieties in characteristic \(p\). | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Northcott finiteness theorem; canonical height; Green function; Berkovich space; good reduction; Mordell-Weil theorem Baker, M., \textit{A finiteness theorem for canonical heights attached to rational maps over function fields}, J. Reine Angew. Math., 626, 205-233, (2009) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps, Dynamical systems over global ground fields, Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems, Elliptic curves, Algebraic functions and function fields in algebraic geometry, Arithmetic varieties and schemes; Arakelov theory; heights A finiteness theorem for canonical heights attached to rational maps 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 Tetsuji Shioda, The \?\?\?-theorem, Davenport's inequality and elliptic surfaces, Proc. Japan Acad. Ser. A Math. Sci. 84 (2008), no. 4, 51 -- 56. Elliptic surfaces, elliptic or Calabi-Yau fibrations The \(abc\)-theorem, Davenport's inequality and elliptic 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 function fields of conics; Zariski problem; transcendental extension; rationality; regular function field; Amitsur-MacRae theorem Jack Ohm, Function fields of conics, a theorem of Amitsur-MacRae, and a problem of Zariski, Algebraic geometry and its applications (West Lafayette, IN, 1990) Springer, New York, 1994, pp. 333 -- 363. Transcendental field extensions, Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields Function fields of conics, a theorem of Amitsur-MacRae, and a problem of Zariski | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \bibSaidi-Tamagawa1article label=Saïdi-Tamagawa1, author=Saïdi, Mohamed, author=Tamagawa, Akio, title=A prime-to-\(p\) version of Grothendieck's anabelian conjecture for hyperbolic curves over finite fields of characteristic \(p>0\), journal=Publ. Res. Inst. Math. Sci., volume=45, number=1, pages=135--186, date=2009, doi=10.2977/prims/1234361157, issn=0034-5318, review=\MR2512780, Finite ground fields in algebraic geometry, Coverings of curves, fundamental group, Arithmetic ground fields for curves, Curves over finite and local fields A prime-to-\(p\) version of Grothendieck's anabelian conjecture for hyperbolic curves over finite fields of characteristic \(p>0\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic characteristic \(p\); Bogomolov-Gieseker type inequality; tangent bundle; vanishing Tohru Nakashima, Bogomolov-Gieseker inequality and cohomology vanishing in characteristic \?, Proc. Amer. Math. Soc. 123 (1995), no. 12, 3609 -- 3613. Vanishing theorems in algebraic geometry, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Characteristic classes and numbers in differential topology, Local ground fields in algebraic geometry Bogomolov-Gieseker inequality and cohomology vanishing 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 Cutkosky, Steven Dale, Ramification of valuations and counterexamples to local monomialization in positive characteristic, (2014), preprint Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry Resolution of singularities in characteristic \(p\) and monomialization | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic singular curves; Wronski algebra systems; Gorenstein singularities; Weierstrass points Esteves E., Bol. Soc. Brasil. Mat. (N.S.) 26 pp 229-- (1995) Riemann surfaces; Weierstrass points; gap sequences, Singularities of curves, local rings, Vector bundles on curves and their moduli Wronski algebra systems and residues | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic multiplier ideal; test ideal; \({\mathfrak a}^t\)-tight closure; uniform bound; Fujita's freeness conjecture Hara, N., A characteristic \(p\) analog of multiplier ideals and applications, Commun. Algebra, 33, 3375-3388, (2005) Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Regular local rings, Effectivity, complexity and computational aspects of algebraic geometry A characteristic \(p\) analog of multiplier ideals 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 Jacobian conjecture; polynomial map Jacobian problem A new formulation of the Jacobian conjecture 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 \(n\)-dimensional local field; Milnor groups; maximal elementary abelian \(p\)-extension; formal Lubin-Tate groups; Artin symbol; Kummer extensions \(K\)-theory of local fields, Class field theory; \(p\)-adic formal groups, Higher symbols, Milnor \(K\)-theory, Ramification and extension theory, Generalized class field theory (\(K\)-theoretic aspects), Formal groups, \(p\)-divisible groups On an elementary Abelian \(p\)-extension of a multidimensional local 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 Vanishing theorems in algebraic geometry, Algebraic theory of abelian varieties, Positive characteristic ground fields in algebraic geometry Generic vanishing in characteristic \(p > 0\) and the characterization of ordinary abelian varieties | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Frobenius; cohomological dimension; projective varieties Lyubeznik, G., On the vanishing of local cohomology in characteristic \textit{p} > 0, Compos. Math., 142, 207-221, (2006) Local cohomology and commutative rings, Local cohomology and algebraic geometry On the vanishing of local cohomology in characteristic \(p>0\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic transcendence of elliptic modular functions in characteristic \(p\); Tate elliptic curve; theorem of Siegel and Schneider; transcendence of periods of elliptic curves; Mahler-Manin conjecture; elliptic logarithm [V1] J. F. Voloch:Transcendence of elliptic modular functions in characteristic p, J. Number Theory58 (1996) 55-59. Transcendence theory of elliptic and abelian functions, Elliptic curves Transcendence of elliptic modular functions 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 surface; sporadic zero; plane curves Plane and space curves, Low codimension problems in algebraic geometry, Surfaces and higher-dimensional varieties On the lifting problem in \(\mathbb{P}^4\) in characteristic \(p\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic abelian varieties; heights; global fields; Brauer-Siegel theorem; Birch and Swinnerton-Dyer conjecture Elliptic curves over global fields, Arithmetic ground fields for abelian varieties, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Global ground fields in algebraic geometry, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Heights Erratum to: ``An analogue of the Brauer-Siegel theorem for abelian varieties in positive characteristic'' | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic selmer group; abelian variety Tadashi Ochiai and Fabien Trihan, On the Selmer groups of abelian varieties over function fields of characteristic \?>0, Math. Proc. Cambridge Philos. Soc. 146 (2009), no. 1, 23 -- 43. Arithmetic ground fields for abelian varieties, Arithmetic theory of algebraic function fields On the Selmer groups of abelian varieties over function fields of characteristic \(p > 0\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic H. Esnault, ''Deligne's integrality theorem in unequal characteristic and rational points over finite fields,'' Ann. of Math., vol. 164, iss. 2, pp. 715-730, 2006. Local ground fields in algebraic geometry, Varieties over finite and local fields Deligne's integrality theorem in unequal characteristic and 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 divisor class group; hypersurfaces; characteristic \(p\) P. Griffith, S. Spiroff, Restriction of divisor classes to hypersurfaces in characteristio p, J. Algebra 215 (2004) 801 -- 814. Class groups, Integral closure of commutative rings and ideals, Ideals and multiplicative ideal theory in commutative rings, Hypersurfaces and algebraic geometry Restriction of divisor classes to hypersurfaces 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 spherical varieties; Frobenius splitting Tange, R, On embeddings of certain spherical homogeneous spaces in prime characteristic, Transform. Groups, 17, 861-888, (2012) Compactifications; symmetric and spherical varieties, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure On embeddings of certain spherical homogeneous spaces in prime characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic positive characteristic; uniform approximation of ideals; regular variety; Abhyankar valuation; test ideals; Frobenius morphism; Noetherian domain; graded system Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Valuations and their generalizations for commutative rings, Singularities in algebraic geometry, Valuation rings, Positive characteristic ground fields in algebraic geometry Uniform approximation of Abhyankar valuation ideals in function fields of prime characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Diophantine geometry; Lang-Mordell conjecture; differential fields A. Pillay, Mordell-Lang conjecture for function fields in characteristic zero, revisited, Compositio Mathematica 140 (2004), 64--68. Arithmetic ground fields for abelian varieties, Commutative rings of differential operators and their modules Mordell-Lang conjecture for function fields in characteristic zero, revisited | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Effectivity, complexity and computational aspects of algebraic geometry, Projective techniques in algebraic geometry An effective version of the first Bertini theorem in nonzero characteristic 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 exponential function; lattice; transcendence results; period; Carlitz module; Drinfeld module Jing Yu, Transcendence theory over function fields, Duke Math. J. 52 (1985), no. 2, 517 -- 527. , https://doi.org/10.1215/S0012-7094-85-05226-3 Jing Yu, A six exponentials theorem in finite characteristic, Math. Ann. 272 (1985), no. 1, 91 -- 98. Transcendence theory of Drinfel'd and \(t\)-modules, Drinfel'd modules; higher-dimensional motives, etc., Algebraic functions and function fields in algebraic geometry A six exponentials theorem in finite characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic transcendence in finite characteristic; six exponentials theorem Arithmetic theory of algebraic function fields, Transcendence (general theory), Formal groups, \(p\)-divisible groups, Algebraic functions and function fields in algebraic geometry A six exponentials theorem in finite characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Hasse principle; function fields of \(p\)-adic curves Parimala, R.: A Hasse principle for quadratic forms over function fields. Bull. amer. Math. soc. (N.S.) 51, No. 3, 447-461 (2014) Quadratic forms over general fields, Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields A Hasse principle for quadratic 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 triviality of algebras over rational function fields; rationality of conic bundle; local global principle I. I. Voronovich, A local-global principle for algebras over fields of rational functions, Dokl. Akad. Nauk BSSR 31 (1987), no. 10, 877 -- 880, 956 (Russian, with English summary). Quaternion and other division algebras: arithmetic, zeta functions, Brauer groups of schemes, Rational and unirational varieties, Algebraic functions and function fields in algebraic geometry, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) A local-global principle for algebras over rational function fields | 0 |
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