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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 Rigid analytic geometry, Automorphic forms and their relations with perfectoid spaces, \(p\)-adic cohomology, crystalline cohomology On \(p\)-adic comparison theorems for rigid analytic varieties: I | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic supersymmetric gauge theory; duality in gauge field theories; solitons monopoles and instantons; conformal and W symmetry C.A. Keller, N. Mekareeya, J. Song and Y. Tachikawa, \textit{The ABCDEFG of instantons and W -algebras}, \textit{JHEP}\textbf{03} (2012) 045 [arXiv:1111.5624] [INSPIRE]. Yang-Mills and other gauge theories in quantum field theory, Supersymmetric field theories in quantum mechanics, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Soliton solutions, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Coherent states The ABCDEFG of instantons and W-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 DOI: 10.1007/s00574-004-0008-9 Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Thue-Mahler equations, Finite ground fields in algebraic geometry On towers of function fields of Artin-Schreier type | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Arakelov geometry; arithmetic divisors; arithmetic Hodge index theorem; pseudoeffective divisors; Dirichlet's unit theorem Moriwaki, A.: Toward Dirichlet's unit theorem on arithmetic varieties (2012). arXiv:1010.1599v2 [math.AG] Arithmetic varieties and schemes; Arakelov theory; heights, Heights, Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems Toward Dirichlet's unit theorem on arithmetic 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 Other nonalgebraically closed ground fields in algebraic geometry, Linear algebraic groups over arbitrary fields, Galois cohomology of linear algebraic groups, Group actions on varieties or schemes (quotients) A remark on local-global principles for conjugacy classes | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic I.G. Macdonald, Spherical functions on a group of \(p\)-adic type. Publications Ramanujan Institute 2, Centre for Advances Study in Mathematics, University of Madras, Madras, 1971 Harmonic analysis and spherical functions, Analysis on \(p\)-adic Lie groups, Formal groups, \(p\)-divisible groups, Lie algebras and Lie superalgebras Spherical functions on a group of \(p\)-adic type | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Macdonald, I. G., Spherical functions on a group of \(p\)-adic type, Uspekhi Mat. Nauk, 28, 155-224, (1973) Harmonic analysis and spherical functions, Analysis on \(p\)-adic Lie groups, Formal groups, \(p\)-divisible groups, Lie algebras and Lie superalgebras Spherical functions on a group of \(p\)-adic type | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic abelian varieties; modular forms; newforms; torsion; Birch and Swinnerton-Dyer conjecture; Tate-Shafarevich group; visibility Agashe, A., Stein, W.: Visible evidence for the Birch and Swinnerton-Dyer conjecture for modular abelian varieties of analytic rank zero. Math. Comput. \textbf{74}(249), 455-484 \textbf{(electronic)}. With an appendix by J. Cremona and B. Mazur (2005) \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Holomorphic modular forms of integral weight, Abelian varieties of dimension \(> 1\), Arithmetic ground fields for abelian varieties, Arithmetic ground fields for curves, Jacobians, Prym varieties Visible evidence for the Birch and Swinnerton-Dyer conjecture for modular abelian varieties of analytic rank zero. With an Appendix by J. Cremona and B. Mazur | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Tate conjecture; Hodge conjecture; Mumford-Tate conjecture; representation of galois group; adic Tate module; abelian variety Chi, Wên Chên, \(l\)-adic and \(\lambda\)-adic representations associated to abelian varieties defined over number fields, Amer. J. Math., 114, 2, 315-353, (1992) Arithmetic ground fields for abelian varieties, Local ground fields in algebraic geometry, Global ground fields in algebraic geometry \(\ell{}\)-adic and \(\lambda{}\)-adic representations associated to abelian varieties defined over number fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic hyperelliptic curve; Witt vectors; Jacobian; p-adic gamma function; Dieudonné-module; Frobenius action; p-divisible group Ditters, On the connected part of the covariant Tate p-divisible group and the {\(\zeta\)}-function of the family of hyperelliptic curves y2 = 1 + {\(\mu\)}xN modulo various primes, Math. Z. 200 pp 245-- (1989) Formal groups, \(p\)-divisible groups, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Arithmetic ground fields for curves On the connected part of the covariant Tate p-divisible group and the \(\zeta\)-function of the family of hyperelliptic curves \(y^ 2=1+\mu x^ N\) modulo various primes | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic zeta functions; crystalline cohomology Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Curves over finite and local fields The \(p\)-cohomology of algebraic varieties and special values of zeta functions | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Drinfeld modules; algebraic independence; Gelfond theorem Paul-Georg Becker, W. Dale Brownawell, and Robert Tubbs, Gel\(^{\prime}\)fond's theorem for Drinfel\(^{\prime}\)d modules, Michigan Math. J. 41 (1994), no. 2, 219 -- 233. Drinfel'd modules; higher-dimensional motives, etc., Algebraic independence; Gel'fond's method, Formal groups, \(p\)-divisible groups Gelfond's theorem for Drinfeld modules | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Hector Pasten & Chia-Liang Sun, Multiplicative subgroups avoiding linear relations in finite fields and a local-global principle, Proc. Am. Math. Soc.144 (2016), p. 2361-2373 Finite fields (field-theoretic aspects), Rational points Multiplicative subgroups avoiding linear relations in finite fields and a local-global principle | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Euler characteristic; Grothendieck group; Chow motives F. Bittner. The universal euler characteristic for varieties of characteristic zero. \(Comp. Math.\), 140:1011-1032, 2004. Motivic cohomology; motivic homotopy theory, Rational and birational maps, Applications of methods of algebraic \(K\)-theory in algebraic geometry The universal Euler characteristic for varieties of characteristic zero | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic semi-abelian varieties; Somekawa K-groups; Galois cohomology; local fields Galois cohomology of linear algebraic groups, Abelian varieties of dimension \(> 1\), Motivic cohomology; motivic homotopy theory A Tate duality theorem for local Galois symbols. II. The semi-abelian 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 \(D\)-module; Gröbner basis; localization; local cohomology; \(b\)-function; hyperplane; arrangement; multiplicity Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Local cohomology and commutative rings, Local cohomology and algebraic geometry, Arrangements of points, flats, hyperplanes (aspects of discrete geometry) Localization, local cohomology, and the \(b\)-function of a \(D\)-module with respect to a polynomial | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic compact complex manifold; normal crossing divisor; non-vanishing cohomology class; zero divisor; Iitaka dimension Divisors, linear systems, invertible sheaves, Vanishing theorems A remark on a non-vanishing theorem of P. Deligne and G. D. Mostow | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Bezrukavnikov, R.; Finkelberg, M.; Ginzburg, V., Cherednik algebras and Hilbert schemes in characteristic \textit{p}, Represent. Theory, 10, 254-298, (2006), with an appendix by Pavel Etingof Parametrization (Chow and Hilbert schemes), Global theory and resolution of singularities (algebro-geometric aspects), Associative rings and algebras arising under various constructions Cherednik algebras and Hilbert schemes in characteristic \(p\). With an appendix by Pavel Etingof | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic singularities; Riemann-Kempf singularity theorem; non-hyperelliptic curve; linear equivalence classes of positive divisors; index of speciality Jacobians, Prym varieties, Divisors, linear systems, invertible sheaves, Singularities in algebraic geometry A note on the Riemann-Kempf theorem for curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Białynicki-Birula decomposition; reductive monoids; reductive group actions In positive characteristic Group actions on varieties or schemes (quotients), Linear algebraic groups over arbitrary fields, Fine and coarse moduli spaces, Representation theory for linear algebraic groups, Group schemes Białynicki-Birula decomposition for reductive groups in positive characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic singular foliations; codimension 1 foliations; Kupka component; complete intersection; unstable vector bundle; rank 2 vector bundle; splitting of a vector bundle; meromorphic first integral; Barth-Lefschetz theorems Ballico, E., \textit{A splitting theorem for the kupka component of a foliation of} CP\^{}\{n\}, \(n\) \(###\) 6. \textit{addendum to an addendum to a paper by calvo-andrade and soares}, Ann. Inst. Fourier, 49, 1423-1425, (1999) Singularities of holomorphic vector fields and foliations, Dynamical aspects of holomorphic foliations and vector fields, Complete intersections, Characteristic classes and numbers in differential topology A splitting theorem for the Kupka component of a foliation of \({\mathbb{C}}{\mathbb{P}}^n, n\geq 6\). Addendum to an addendum to a paper by Calvo-Andrade and Soares | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Hilbert-Kunz function; Hilbert-Kunz multiplicity; cubic curve; elliptic curve; Frobenius power Monsky, P.: The Hilbert-Kunz function of a characteristic 2 cubic. J. Algebra 197 (1), 268--277 (1997) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Elliptic curves, Special surfaces The Hilbert-Kunz function of a characteristic 2 cubic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Seshadri, C.S., On a theorem of Weitzenböck in invariant theory, J. math. Kyoto. univ., 1, 403-409, (1962) Vector and tensor algebra, theory of invariants, Group varieties On a theorem of Weitzenböck in invariant theory | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Riemann hypothesis over finite fields; Weil conjectures Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, History of number theory, History of algebraic geometry, Curves over finite and local fields The Riemann hypothesis over finite fields: from Weil to the present day | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Motivic cohomology; motivic homotopy theory, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) The norm residue theorem and the Quillen-Lichtenbaum 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 arithmetic theory of algebraic function fields; towers of function fields; Zink's bound; Hasse-Witt invariant; \(p\)-rank [2]A. Bassa and P. Beelen, The Hasse--Witt invariant in some towers of function fields over finite fields, Bull. Brazil. Math. Soc. 41 (2010), 567--582. Arithmetic theory of algebraic function fields, Curves over finite and local fields, Finite ground fields in algebraic geometry The Hasse-Witt invariant in some towers of function fields over finite fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Grothendieck-Riemann-Roch; vector bundles; equivariant geometry; fibration; fixed point formula Riemann-Roch theorems, Riemann-Roch theorems, Chern characters A local refinement of the Adams-Riemann-Roch theorem in degree one | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic varieties over local fields; Poincaré duality; Picard group; Brauer group Van Hamel, J., \textit{lichtenbaum-Tate duality for varieties over \textit{p}-adic fields}, J. Reine Angew. Math., 575, 101-134, (2004) Local ground fields in algebraic geometry, Brauer groups of schemes, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Varieties over finite and local fields, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Motivic cohomology; motivic homotopy theory Lichtenbaum-Tate duality for varieties over \(p\)-adic fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Coverings of curves, fundamental group, Algebraic functions and function fields in algebraic geometry, Modular and automorphic functions, Arithmetic theory of algebraic function fields On \((\infty\times p)\)-adic coverings of curves (the simplest example) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Bayat, M., Teimoori, H.: A new bound for an extension of Mason's theorem for functions of several variables. Arch. Math. 82, 230--239 (2004) Arithmetic theory of algebraic function fields, Polynomials in number theory, Rational points, Polynomials and rational functions of one complex variable A new bound for an extension of Mason's theorem for functions of several variables | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic higher algebraic \(K\)-theory; Milnor \(K\)-theory; finite fields; Tate's conjecture; Beilinson's conjecture; Parshin's conjecture; Chow groups; category of pure motives; étale cohomology; motivic cohomology Thomas Geisser, ``Tate's conjecture, algebraic cycles and rational \(K\)-theory in characteristic \(p\).'', \(K\)-Theory13 (1998) no. 2, p. 109-122 \(K\)-theory of schemes, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) Tate's conjecture, algebraic cycles and rational \(K\)-theory in characteristic \(p\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic local height function; abelian varieties Local ground fields in algebraic geometry, Algebraic theory of abelian varieties, Abelian varieties of dimension \(> 1\) A property of local Néron-Tate heights on abelian varieties | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Springer isomorphism; algebraic group; parabolic subgroup; nilpotent cone; unipotent variety; exponential map; Witt groups Sobaje, P., Springer isomorphisms in characteristic \textit{p}, Transform. Groups, 20, 4, 1141-1153, (2015) Classical groups (algebro-geometric aspects), Linear algebraic groups over arbitrary fields, Lie algebras of linear algebraic groups, Modular Lie (super)algebras Springer isomorphisms 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 moduli of \(p\)-divisible groups; Drinfeld's upper half space Rapoport, Michael; Zink, Thomas: On the Drinfeld moduli problem for p-divisible groups Formal groups, \(p\)-divisible groups, Algebraic moduli problems, moduli of vector bundles, Arithmetic aspects of modular and Shimura varieties On the Drinfeld moduli problem of \(p\)-divisible groups | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Wronskian section; Weierstrass point; Wronskian bundles Riemann surfaces; Weierstrass points; gap sequences Generalized Wronski sections and families of 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 enlargement; widening of a scheme; category of convergent isocrystals Arthur Ogus, The convergent topos in characteristic \(p\), The Grothendieck Festschrift, Vol. III, Progr. Math., vol. 88, Birkhäuser Boston, Boston, MA, 1990, pp. 133-162. \(p\)-adic cohomology, crystalline cohomology, Étale and other Grothendieck topologies and (co)homologies, Grothendieck topologies and Grothendieck topoi The convergent topos 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 normal local spots; normalized blow-up; condition (N); torsion divisor class groups Heinzer, W.; Lantz, D.: Exceptional prime divisors of two-dimensional local domains. Math. sci. Res. inst. Publ. 15, 279-304 (1988) Class groups, Ideals and multiplicative ideal theory in commutative rings, Singularities of surfaces or higher-dimensional varieties, Integral domains, Local rings and semilocal rings Exceptional prime divisors of two-dimensional local domains | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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; complex manifold; normal hypersurfaces Homotopy theory and fundamental groups in algebraic geometry, Complex manifolds, Hypersurfaces and algebraic geometry On a theorem of Zariski-Van Kampen type 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 moduli of vector bundles; non-abelian Hodge theory; Hitchin's equations Chen, T.-H.; Zhu, X., Non-abelian Hodge theory for algebraic curves over characteristic \textit{p} Algebraic moduli problems, moduli of vector bundles, Stacks and moduli problems, Transcendental methods, Hodge theory (algebro-geometric aspects) Non-abelian Hodge theory for algebraic curves in characteristic \(p\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(p\)-adic Birch and Swinnerton-Dyer conjecture; elliptic curves Bernardi, D; Perrin-Riou, B, Variante p-adique de la conjecture de Birch et Swinnerton-Dyer (le cas supersingulier), comptes rendus de l'académie des sciences, Paris Série I Mathématique, 317, 227-232, (1993) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Local ground fields in algebraic geometry A \(p\)-adic version of the Birch and Swinnerton-Dyer conjecture (the supersingular 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 expander graphs; Galois representations; gonality Galois representations, Arithmetic ground fields (finite, local, global) and families or fibrations A note on a theorem of Cadoret and Tamagawa | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Brauer group; quadratic forms; \(u\)-invariant; complete discretely valued fields; function fields Parimala, R.; Suresh, V., On the \(u\)-invariant of function fields of curves over complete discretely valued fields, Adv. Math., 280, 729-742, (2015) Arithmetic theory of algebraic function fields, Algebraic theory of quadratic forms; Witt groups and rings, Brauer groups of schemes On the \(u\)-invariant of function fields of curves over complete discretely valued fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic inversion formula; ring of differential operators; power series rings; locally nilpotent derivations DOI: 10.1016/j.jpaa.2008.03.009 Commutative rings of differential operators and their modules, Derivations and commutative rings, Jacobian problem, Automorphisms of curves, Rings of differential operators (associative algebraic aspects) The inversion formulae for automorphisms of polynomial algebras and rings of differential operators 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 Henselian fields; closedness theorem; analytic structure; b-minimal cell decomposition; quantifier elimination; ordered abelian groups; fiber shrinking; Łojasiewicz inequalities; piecewise continuity; Hölder continuity; curve selection; transformation to normal crossings; resolution of singularities; definable retractions; extension of continuous definable functions Non-Archimedean analysis, Analytic algebras and generalizations, preparation theorems, Rigid analytic geometry, Applications of model theory, Modifications; resolution of singularities (complex-analytic aspects), Global theory and resolution of singularities (algebro-geometric aspects) A closedness theorem over Henselian fields with analytic structure and its applications | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Higher symbols, Milnor \(K\)-theory, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Motivic cohomology; motivic homotopy theory The \(\ell\)-adic Galois symbol and the Suslin-Voevodsky 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 closed subscheme; variety K. Neumann, A criterion for the primeness of ideals generated by polynomials with separated variables, Israel J. Math. 113 (1999), 1--13. Varieties and morphisms, Polynomial rings and ideals; rings of integer-valued polynomials, Ideals and multiplicative ideal theory in commutative rings, Relevant commutative algebra A criterion for the primeness of ideals generated by polynomials with separated variables | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic algebraic surface in projective space; function fields of surfaces; subfields of function fields of algebraic surfaces; dominant rational maps; plane curves Lee, Y; Pirola, G, On subfields of the function field of a general surface in \({\mathbb{P}}^3\), Int. Math. Res. Not., 24, 13245-13259, (2015) Surfaces of general type, Plane and space curves, Real and complex fields On subfields of the function field of a general surface in \(\mathbb{P}^{3}\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic zeta functions of groups and rings; normal subgroup growth; counting points on varieties; Higman's PORC conjecture Nilpotent groups, Subgroup theorems; subgroup growth, Finite nilpotent groups, \(p\)-groups, Other Dirichlet series and zeta functions, Determinantal varieties Zeta functions enumerating normal subgroups of \(\mathfrak{T}_2\)-groups and their behavior on residue classes | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic negative \(K\)-theory; homotopy \(K\)-theory; alterations Kelly, S., Vanishing of negative \textit{K}-theory in positive characteristic, Compos. Math., 150, 8, 1425-1434, (2014) Negative \(K\)-theory, NK and Nil, Étale and other Grothendieck topologies and (co)homologies, Applications of methods of algebraic \(K\)-theory in algebraic geometry Vanishing of negative \(K\)-theory 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 Azumaya algebra; invariant theory; Brauer group; minimal system of generators for invariants Hürlimann, W.: Sur le groupe de Brauer d'un anneau de polynômes en caracteristique p et la théorie des invariants. Thesis (1980) Brauer groups of schemes, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Brauer groups (algebraic aspects), Geometric invariant theory, Galois cohomology Sur le groupe de Brauer d'un anneau de polynômes en caractéristique \(p\) et la théorie des invariants | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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 surface; algebraic curve; field of moduli; field of definition Compact Riemann surfaces and uniformization, Automorphisms of curves, Special algebraic curves and curves of low genus, Arithmetic problems in algebraic geometry; Diophantine geometry A remark on the field of moduli of Riemann surfaces | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic $p$-support; $\mathcal {D}$-modules; singular support; Azumaya algebra; reduction to characteristic $p$; crystalline differential operators Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Brauer groups of schemes, \(p\)-adic cohomology, crystalline cohomology On the $p$-supports of a holonomic $\mathcal {D}$-module | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic codimension 2 Buchsbaum variety; linear space sections; Castelnuovo type of vanishing theorem Giorgio Bolondi and Rosa M. Miró-Roig, Two-codimensional Buchsbaum subschemes of \?\(^{n}\) via their hyperplane sections, Comm. Algebra 17 (1989), no. 8, 1989 -- 2016. Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Low codimension problems in algebraic geometry, Special algebraic curves and curves of low genus, Vanishing theorems in algebraic geometry Two-codimensional Buchsbaum subschemes of \(P^ n\) via their hyperplane sections | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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 rings; ramification index; initial index Valuations and their generalizations for commutative rings, Global theory and resolution of singularities (algebro-geometric aspects) Essential finite generation of valuation rings in characteristic zero 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 Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry On elementary abelian \(p\)-extensions with null Hasse-Witt map | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Viehweg's hyperbolicity conjecture; log general type; log cotangent bundle; foliation; movable curve class; slope semi-stability Birational geometry, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials On a theorem of Campana and Păun | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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; proalgebraic completion; profinite completion; etale fundamental group Esnault, H.; Hogadi, A., \textit{on the algebraic fundamental group of smooth varieties in characteristic \textit{p} > 0}, Trans. Amer. Math. Soc., 364, 2429-2442, (2012) Homotopy theory and fundamental groups in algebraic geometry, Coverings of curves, fundamental group On the algebraic fundamental group of smooth varieties 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 Brauer group of local field Galois cohomology, Brauer groups of schemes On the Brauer group of a local field with non-perfect residue 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 function field; Hurwitz genus formula; nilpotent group; positive characteristic Algebraic functions and function fields in algebraic geometry, Automorphisms of curves On nilpotent automorphism 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 Semi-stable and stable vector bundles on regular projective curves; moduli space of stable bundles; local non-abelian zeta functions for curves defined over finite fields (rationality and functional equations); global non-abelian zeta functions for curves defined over number fields; non-abelian L--functions for function fields (rationality and functional equations) Weng, L.: Non-abelian L function for number fields Zeta and \(L\)-functions in characteristic \(p\), Other Dirichlet series and zeta functions, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Vector bundles on curves and their moduli Non-abelian zeta functions 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 Ünver, S., A note on the algebra of p-adic multi-zeta values, Commun. Number Theory Phys., 9, 4, 689-705, (2015) Multiple Dirichlet series and zeta functions and multizeta values, Coverings of curves, fundamental group, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) A note on the algebra of \(p\)-adic multi-zeta values | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Galois covers; \(p\)-adic fields; characteristic \(p\); \(p\)-adic covers; fields of definition; valuation fields; global-to-local principle Pierre Dèbes and David Harbater, Fields of definition of \?-adic covers, J. Reine Angew. Math. 498 (1998), 223 -- 236. Coverings of curves, fundamental group, Local ground fields in algebraic geometry, Valued fields, Coverings in algebraic geometry, Arithmetic ground fields for curves, Henselian rings Fields of definition of \(p\)-adic covers | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Galois representations, Abelian varieties of dimension \(> 1\), Global ground fields in algebraic geometry, Arithmetic ground fields for abelian varieties \(l\)-adic representations. Appendix by M. Martin-Deschamps, Shafarevich conjecture for function fields over \(\mathbb Q\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic tame fundamental group F. Orgogozo , I. Vidal , Le théorèm de spécialisation du groupe fondamental. Courbes semi-stables et groupe fondamental en géometrie algébrique (J.-B. Bost, F. Loeser, and M. Raynaud, eds.), Prog. in Math. , vol. 187 , Birkhäuser , 2000 , 169 - 184 . MR 1768100 | Zbl 0978.14033 Coverings of curves, fundamental group, Homotopy theory and fundamental groups in algebraic geometry, Schemes and morphisms The specialization theorem of the fundamental group | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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 ring; discrete valuation ring; function field; Hilbert's Nullstellensatz; algebraic functions; algebraic varieties; regular functions; Puiseux series; places; Riemann surface; Krull Introductory exposition (textbooks, tutorial papers, etc.) pertaining to commutative algebra, Valuations and their generalizations for commutative rings, Valuation rings, Algebraic functions and function fields in algebraic geometry Introductory notes on valuation rings and function fields in one variable | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Bernstein-Sato polynomials; test modules; prime characteristic Blickle, M.; Stäbler, A., Bernstein-Sato polynomials and test modules in positive characteristic, Nagoya Math. J., 222, 1, 74-99, (2016) Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials Bernstein-Sato polynomials and test modules 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 unirational quartic; quartic over an algebraically nonclosed field; unirational variety; irreducible hypersurface; birational projection Rational and unirational varieties, Special surfaces, Hypersurfaces and algebraic geometry, Projective techniques in algebraic geometry The unirationality of quartics over nonclosed fields 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 \(L\)-functions; moments; function fields; polynomials; finite fields; integral moments Zeta functions and \(L\)-functions of function fields, Relations with random matrices, Zeta and \(L\)-functions in characteristic \(p\), Arithmetic theory of polynomial rings over finite fields, Étale and other Grothendieck topologies and (co)homologies A representation theory approach to integral moments of \(L\)-functions over function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Dedekind eta functions; maximal unramified abelian covering; Shimura covering Arithmetic aspects of modular and Shimura varieties, Modular and automorphic functions, Geometric class field theory, Modular and Shimura varieties Maximal abelian extension of \(X_0(p)\) unramified outside cusps | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic log canonical pair; Fourier transforms; vanishing theorems; principal polarizations C. D. Hacon, Fourier transforms, generic vanishing theorems and polarizations of abelian varieties, Math. Z. 235 (2000), 717-726. Zbl1041.14019 MR1801582 Theta functions and abelian varieties, Vanishing theorems in algebraic geometry, Theta functions and curves; Schottky problem Fourier transforms, generic vanishing theorems and polarizations of abelian varieties | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Galois cohomology, Étale and other Grothendieck topologies and (co)homologies A generalization of Serre's condition (F) with applications to the finiteness of unramified cohomology | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic stratified bundle; fundamental group; formal geometry; algebraic geometry; flat connection; Lefschetz theorem Positive characteristic ground fields in algebraic geometry, Arithmetic algebraic geometry (Diophantine geometry), Formal neighborhoods in algebraic geometry, Homotopy theory and fundamental groups in algebraic geometry Simply connected varieties 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 isogenies between abelian varieties; decision procedure Kim, K.H.; Roush, F.W., A decision procedure for certain abelian varieties over function fields, J. Algebra, 163, 424-446, (1994) Isogeny, Decidability of theories and sets of sentences A decision procedure for certain abelian varieties over function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic function fields; Carlitz module Formal groups, \(p\)-divisible groups, Drinfel'd modules; higher-dimensional motives, etc., Arithmetic theory of algebraic function fields, Finite ground fields in algebraic geometry Exponentielles en caractéristique p (modules elliptiques ou de Drinfeld). (Exponentials in characteristic p (elliptic or Drinfeld modules)) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic group of automorphisms; birational splitting theorem for the Albanese map; Albanese variety; meromorphic function field Rational and birational maps, Automorphisms of curves, Birational automorphisms, Cremona group and generalizations, Automorphisms of surfaces and higher-dimensional varieties Meromorphic function fields of Albanese bundles | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic tensor triangular geometry; stable motivic homotopy theory Motivic cohomology; motivic homotopy theory, Higher symbols, Milnor \(K\)-theory, Stable homotopy theory, spectra, Derived categories, triangulated categories Primes and fields in stable motivic homotopy theory | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic formal group; \(n\)-dimensional local field; Hilbert symbol; explicit formula; Galois representation; Tate module Class field theory; \(p\)-adic formal groups, Formal groups, \(p\)-divisible groups On \(p\)-adic representations of multidimensional local fields attached to formal groups | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic R. Harasawa, Y. Sueyoshi and A. Kudo, Distortion map fory 2 =x 5 {\(\alpha\)}x in characteristic five. Proceedings of the 2006 Symposium on Cryptography and Information Security (SCIS 2006), 4C2-3, Hiroshima, 2006. Finite ground fields in algebraic geometry, Applications to coding theory and cryptography of arithmetic geometry, Effectivity, complexity and computational aspects of algebraic geometry Tate and Ate pairings for \(y^2=x^5-\alpha x\) in characteristic five | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic reflexive curve; Weierstrass point; dual curve; characteristic p Pardini, R., Some remark on plane curves over fields of finite characteristic,Compositio Math.,60 (1986), 3--17. Rational and birational maps, Finite ground fields in algebraic geometry Some remarks on plane curves over fields of 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 elliptic functions Elliptic curves A theorem in elliptic functions. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(\ell\)-adic representation; semistable Galois representations; local monodromy theorem; Gauss-Manin connection; relative de Rham complex with logarithmic poles Luc, Illusie, Autour du théorème de monodromie locale, Astérisque, 223, 9-57, (1994), Périodes \textit{p}-adiques (Bures-sur-Yvette, 1988) Étale and other Grothendieck topologies and (co)homologies, Local ground fields in algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), Deformations of complex structures, Non-Archimedean analysis, Variation of Hodge structures (algebro-geometric aspects), Varieties over finite and local fields On the local monodromy 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 polynomial automorphisms; Shestakov-Umirbaev theory; Karaś type theorems S. Kuroda, On the Karaś type theorems for the multidegrees of polynomial automorphisms, J. Algebra, 423 (2015), 441-465. Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Polynomial rings and ideals; rings of integer-valued polynomials On the Karaś type theorems for the multidegrees of polynomial automorphisms | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(p\)-adic oscillatory integrals; Laurent polynomials; Igusa zeta function; Newton polytopes; non-degeneracy conditions at infinity León-Cardenal, E.; Zúñiga-Galindo, W. A.: Local zeta functions for non-degenerate Laurent polynomials over p-adic fields. J. math. Sci. univ. Tokyo 20, No. 4, 569-595 (2013) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Zeta functions and \(L\)-functions, Exponential sums, Toric varieties, Newton polyhedra, Okounkov bodies Local zeta functions for non-degenerate Laurent polynomials over \(p\)-adic fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Igusa local zeta function; plane cubics Ibadula, D.: On the plane cubics over qp and the associated igusa zeta function. Bull. math. Soc. sci. Math. roumanie (N.S.) 49(97), No. 3, 253-277 (2006) Zeta functions and \(L\)-functions, Plane and space curves On the plane cubics over \(\mathbb Q_p\) and the associated Igusa zeta function | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic quadratic form; bilinear form; differential form; Witt group; Kato's cohomology; inseparable field extensions Sobiech, M., The behavior of differential, quadratic and bilinear forms under purely inseparable field extensions, J. Algebra, 499, 151-182, (2018) Quadratic forms over general fields, Bilinear and Hermitian forms, Algebraic theory of quadratic forms; Witt groups and rings, Inseparable field extensions, Differential algebra, (Co)homology theory in algebraic geometry The behavior of differential, quadratic and bilinear forms under purely inseparable field extensions | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic fundamental group; quotients by finite group; orbifolds Quotient spaces, decompositions in general topology, Homotopy theory and fundamental groups in algebraic geometry, Surfaces of general type, General structure theorems for groups The fundamental group of quotients of products of some topological spaces by a finite group -- a generalization of a theorem of Bauer-Catanese-Grunewald-Pignatelli | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Tate module; \(\ell \)-adic representations; Galois groups; Weil-Riemann conjecture; \(\ell \)-adic Lie algebras; dimension of Abelian variety Langlands-Weil conjectures, nonabelian class field theory, Galois theory, Arithmetic ground fields for abelian varieties Finiteness theorems for dimensions of irreducible \(\lambda\)-adic representations | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic heights; elliptic surfaces; unlikely intersections in arithmetic dynamics Heights, Varieties over global fields, Global ground fields in algebraic geometry A variant of a theorem by Ailon-Rudnick for elliptic curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic eta invariant; Hurwitz groups; spectral asymmetry; surface symmetry Eta-invariants, Chern-Simons invariants, Automorphisms of curves, Special algebraic curves and curves of low genus A vanishing theorem for the \(\eta\)-invariant and Hurwitz groups | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Other algebraic groups (geometric aspects) A note on a theorem of E. Cartan | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Schur \(P\)-/\(Q\)-functions; factorial \(P\)-/\(Q\)-functions; Macdonald's ninth variation; Hall-Littlewood functions; Pfaffian Combinatorial aspects of representation theory, Symmetric functions and generalizations, Classical problems, Schubert calculus A generalization of Schur's \(P\)- and \(Q\)-functions | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Formal groups, \(p\)-divisible groups Sur les théorèmes fondamentaux des groupes formels commutatifs. II | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Elliptic curves, Curves over finite and local fields, Finite ground fields in algebraic geometry A note on a paper of A. Menezes and S. Vanstone: ``Isomorphism classes of elliptic curves over finite fields of characteristic 2'' | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Modifications; resolution of singularities (complex-analytic aspects), Singularities of surfaces or higher-dimensional varieties, Global theory and resolution of singularities (algebro-geometric aspects), Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Local complex singularities, Transcendental methods of algebraic geometry (complex-analytic aspects), Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Singularities in algebraic geometry A note on Flenner's extension 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 E. Ha and F. Paugam, ''Bost-Connes-Marcolli systems for Shimura varieties. I. Definitions and formal analytic properties,'' IMRP Int. Math. Res. Pap. 5, 237--286 (2005). Quantum equilibrium statistical mechanics (general), Many-body theory; quantum Hall effect, Arithmetic aspects of modular and Shimura varieties, Modular and Shimura varieties, Zeta functions and \(L\)-functions of number fields, Classifications of \(C^*\)-algebras, Phase transitions (general) in equilibrium statistical mechanics Bost-Connes-Marcolli systems for Shimura varieties. I: Definitions and formal analytic properties | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic finite field; abelian varieties; Tate classes Finite ground fields in algebraic geometry, Isogeny On a theorem of Tate | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic singularities; invariants; topological zeta function; Newton boundary Denef, J.; Loeser, F., Caractéristiques d'Euler-Poincaré, fonctions zêta locales et modifications analytiques, J. Amer. Math. Soc., 5, 4, 705-720, (1992) Complex surface and hypersurface singularities, Modifications; resolution of singularities (complex-analytic aspects), Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) Euler-Poincaré characteristics, local zeta functions and analytic modifications | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic T. BOREK, Successive minima and slopes of hermitian vector bundles over number fields. J. Number Theory, 113 (2) (2005), pp. 380-388. Zbl1100.14513 MR2153282 Arithmetic varieties and schemes; Arakelov theory; heights, Global ground fields in algebraic geometry Successive minima and slopes of hermitian vector bundles over number fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic biquadratic fields; conjectures of Birch and Swinnerton-Dyer Rosen, M.I.: Some confirming instances of the Birch-Swinnerton-Dyer conjecture over biquadratic fields. In: Number Theory Proceedings of the First Conference of the Canadian Number Theory Association. R. A. Mollin (Eds.). Walter de Gruyter 1990 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, Cubic and quartic extensions Some confirming instances of the Birch-Swinnerton-Dyer conjecture over biquadratic 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 fundamental groups; free groups; coverings; diamond theorems Lior Bary-Soroker & Manish Kumar, ``Subgroup structure of fundamental groups in positive characteristic'', Commun. Algebra41 (2013) no. 10, p. 3705-3719 Coverings of curves, fundamental group, Positive characteristic ground fields in algebraic geometry, Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) Subgroup structure of fundamental groups in positive characteristic | 0 |
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