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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 semigroup of integral points; convex body; graded algebra; Hilbert function; Hodge index theory; mixed volume; Alexandrov-Fenchel inequality; Bernstein-Kushnirenko theorem; Cartier divisor; linear series Kaveh, K. and Khovanskii, A., Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory, \textit{Ann. of Math. (2)}176 ( 2012), no. 2, 925- 978. Homogeneous spaces and generalizations, Toric varieties, Newton polyhedra, Okounkov bodies Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection 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 plane geometry in characteristic \(p\); dual of a smooth curve; Gauss map Homma M. (1993). On duals of smooth plane curves. Proc. Amer. Math. Soc. 118(3): 785--790 Rational and birational maps, Projective techniques in algebraic geometry, Finite ground fields in algebraic geometry On duals of smooth plane curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic flat localizations of Abelian categories; structure presheaves of modules; quantized algebras; noncommutative schemes in categories; left spectrum; maximal left ideals; completely prime left ideals; categories of rings; Levitzki radical; quasi-affine schemes; projective spectra; quantized rings; quantum planes; algebra of \(q\)-differential operators; Weyl algebras; quantum envelopes; coordinate rings; generalized Weyl algebras; skew polynomial rings; Serre subcategories; Grothendieck categories; hyperbolic rings; skew PBW monads; monoidal category; Kac-Moody and Virasoro Lie algebras; semigroup-graded monads; Gabriel-Krull dimension Rosenberg, A.L.: Algebraic Geometry Representations of Quantized Algebras. Kluwer Academic Publishers, Dordrecht, Boston London (1995) Research exposition (monographs, survey articles) pertaining to associative rings and algebras, Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras, Quantum groups (quantized enveloping algebras) and related deformations, Noncommutative algebraic geometry, Torsion theories; radicals on module categories (associative algebraic aspects), Rings of differential operators (associative algebraic aspects), Local categories and functors, Abelian categories, Grothendieck categories, Graded rings and modules (associative rings and algebras), Associative rings of functions, subdirect products, sheaves of rings, ``Super'' (or ``skew'') structure, Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects), Abstract manifolds and fiber bundles (category-theoretic aspects) Noncommutative algebraic geometry and representations of quantized 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 ideal in polynomial ring; ideal in power series ring; Jacobian extension of the ideal; flag of subspaces; positive characteristic Relevant commutative algebra, Polynomial rings and ideals; rings of integer-valued polynomials, Formal power series rings, Ideals and multiplicative ideal theory in commutative rings A remark on some geometric invariants over perfect 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 parametric solutions; system of quadratic diophantine equations; rectangular parallelepiped; integral edges and face diagonals; intersection of three quadrics in five-dimensional projective space Bremner, A.: The rational cuboid and a quartic surface. Rocky mountain J. Math. 18, No. 1, 105-121 (1988) Quadratic and bilinear Diophantine equations, Special surfaces The rational cuboid and a quartic surface | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic operator colligations; operator vessels; Livsic characteristic function; invariant subspaces; rational functions of operators Kravitsky, N, No article title, Integral Equations Operator Theory, 26, 60, (1996) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc., Rational and birational maps, Equations and inequalities involving linear operators, with vector unknowns, Transformers, preservers (linear operators on spaces of linear operators), Functional calculus for linear operators Rational operator functions and Bezoutian operator vessels | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Abel's theorem; integrals of the second and third kind; metric theory of curves Plane and space curves On the geometric applications of the theorem of Abel. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Hilbert function; points in \(\mathbb{P}^3\); irreducible surface; number of generators of the ideal of distinct points; resolution of points; surfaces of low degree Guardo E., Parisi O.,Maximum number of generators of an ideal of points on an irreducible surface of lows degree, Le Matematiche,50 (1995), 137--162. Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Linkage, complete intersections and determinantal ideals, Low codimension problems in algebraic geometry, Special surfaces Maximum number of generators of an ideal of points on an irreducible surface of low degree | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Schmidt's subspace theorem; Diophantine approximation; subvarieties Rational points, Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.), Schmidt Subspace Theorem and applications The Ru-Vojta result for subvarieties | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic continued fraction expansion; function field of characteristic zero; hyperelliptic curve; Somos sequence A.\ J. van der Poorten, ``Hyperelliptic curves, continued fractions, and Somos sequences'', Dynamics \(\&\) Stochastics, Lecture Notes--Monograph Series, v. 48, ed. Denteneer, Dee and Hollander, Frank den and Verbitskiy, Evgeny, Institute of Mathematical Statistics, Beachwood, Ohio, USA, 2006, 212--224 Continued fractions, Elliptic curves over global fields, Algebraic functions and function fields in algebraic geometry, Elliptic curves Hyperelliptic curves, continued fractions, and Somos sequences | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Picard numbers; rank of the Mordell-Weil group; elliptic curves over function fields; automorphisms Peter F. Stiller, The Picard numbers of elliptic surfaces with many symmetries, Pacific J. Math. 128 (1987), no. 1, 157 -- 189. Picard groups, Special surfaces, Group actions on varieties or schemes (quotients) The Picard numbers of elliptic surfaces with many symmetries | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic sets of points in projective space; Hilbert function Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Projective techniques in algebraic geometry, Relevant commutative algebra The Hilbert function of points in \(\mathbb{P}^ n\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic chainable fields; chains of orderings of higher level; higher level Hilbert's seventeenth problem; Nullstellensatz for chain-closed fields Gondard-Cozette, D.: Chainable fields and real algebraic geometry. Lecture notes in math. 1420 (1990) Ordered fields, Real algebraic sets, Real and complex fields Chainable fields and real algebraic geometry | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic algebraic function fields; constructions of linear codes; algebraic curves; algebraic-geometric codes; Goppa codes Ferruh Özbudak and Henning Stichtenoth, Constructing codes from algebraic curves, IEEE Trans. Inform. Theory 45 (1999), no. 7, 2502 -- 2505. Geometric methods (including applications of algebraic geometry) applied to coding theory, Linear codes (general theory), Arithmetic theory of algebraic function fields, Applications to coding theory and cryptography of arithmetic geometry Constructing codes from algebraic 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 existence of local solutions; non-Archimedean differential equations; differential operators in positive characteristic; Tannakian fundamental groups; rigid geometry; differential Galois theory Differential algebra, Inverse Galois theory, Rigid analytic geometry Local solutions to positive characteristic non-Archimedean differential equations | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic main sections of surfaces of second order Determinantal varieties, Determinants, permanents, traces, other special matrix functions, Surfaces in Euclidean and related spaces Expression of \(s\) as a quotient of determinants. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic constants of functional equation of zeta function; characteristic p; zeta function associated with a regular irreducible prehomogeneous vector space; Gaussian sums Homogeneous spaces and generalizations, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Finite ground fields in algebraic geometry, Trigonometric and exponential sums (general theory) On zeta-functions associated with prehomogeneous vector spaces and Gaussian sums | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic complements of arrangements; vanishing cycles; second Lefschetz theorem; isolated singularities of functions on stratified spaces; monodromy Relations with arrangements of hyperplanes, Configurations and arrangements of linear subspaces Complements of hypersurfaces, variation maps, and minimal models of arrangements | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic dimension of endomorphism valued cohomology groups for complete; intersections in complex projective space; gauge singlet spectrum in superstring compactifications; deformation; dimension of endomorphism valued cohomology groups for complete intersections in complex projective space [DGKM] Distler, J., Greene, B. R., Kirklin, K., Miron, P.: Calculating Endomorphism Valued Cohomology: Singlet Spectrum in Superstring Models. Commun. Math. Phys.122, 117--124 (1989) Other homology theories in algebraic topology, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, (Co)homology theory in algebraic geometry, Complete intersections Calculating endomorphism valued cohomology: Singlet spectrum in superstring models | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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; biquadratic curves; biquadratic covers; number of points over finite fields; arithmetic statistics Curves over finite and local fields, Coverings of curves, fundamental group, Relations with random matrices Statistics for biquadratic covers of the projective line over finite fields. With an appendix by Alina Bucur | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic homotopy theory; o-minimal expansions of fields; homotopy groups; Hurewicz theorem; Whitehead theorem Baro, E.; Otero, M.: On o-minimal homotopy groups, Quart. J. Math. 61, 275-289 (2010) Model theory of ordered structures; o-minimality, Semialgebraic sets and related spaces, Homotopy groups On o-minimal homotopy 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 characteristic \(p\); Bogomolov inequality; Chern numbers; vanishing theorem; adjoint linear systems; surfaces of general type Shepherd-Barron, N. I., Unstable vector bundles and linear systems on surfaces in characteristic \(p\), Invent. Math., 106, 2, 243-262, (1991) Divisors, linear systems, invertible sheaves, Finite ground fields in algebraic geometry, Vector bundles on surfaces and higher-dimensional varieties, and their moduli Unstable vector bundles and linear systems on surfaces 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 finite groups; automorphism groups of function fields; hyperelliptic function-field R. Brandt, Über die Automorphismengruppen von algebraischen Funktionenkörpern, PhD thesis, Universität Essen, 1988. Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry On the groups of automorphisms of algebraic function fields. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic automorphism groups of algebraic function fields; realization of group as Galois group; Galois theory Separable extensions, Galois theory, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Finite automorphism groups of algebraic, geometric, or combinatorial structures, Representations of groups as automorphism groups of algebraic systems Zur Realisierbarkeit endlicher Gruppen als Automorphismengruppen algebraischer Funktionenkörper | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Gauss conjecture; modular curves; Drinfeld modular curves; class field tower; congruence function fields; ring of \(S\)-integers; ideal class number; class number Lachaud, G.; Vladut, S.: Gauss problem for function fields, J. number theory 85, No. 2, 109-129 (2000) Arithmetic theory of algebraic function fields, Cyclotomic function fields (class groups, Bernoulli objects, etc.), Class field theory, Finite ground fields in algebraic geometry, Jacobians, Prym varieties, Arithmetic aspects of modular and Shimura varieties, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Curves over finite and local fields Gauss problem for function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic valued function fields; genus change; algebraic function field; reduction of constants; rigid analytic geometry; non-discrete valuation Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Non-Archimedean valued fields, Arithmetic ground fields for surfaces or higher-dimensional varieties Genre des corps de fonctions values après Deuring, Lamprecht et Mathieu. (Genus of valued function fields after Deuring, Lamprecht and Mathieu) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Riemann-Roch theorem; algebraic function fields Algebraic functions and function fields in algebraic geometry Eine Vorbereitung auf den Riemann-Rochschen Satz für algebraische Funktionenkörper | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic generalized Riemann hypothesis for imaginary quadratic fields; point of complex multiplication B. Edixhoven, Special points on the product of two modular curves, Compos. Math. 114 (1998), no. 3, 315-328. Modular and Shimura varieties, Complex multiplication and abelian varieties, Modular correspondences, etc., Arithmetic aspects of modular and Shimura varieties Special points on the product of two modular curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic towers of function fields; Drinfeld modules; curves with many points Algebraic functions and function fields in algebraic geometry, Families, moduli of curves (algebraic), Arithmetic theory of algebraic function fields, Computational aspects of algebraic curves Good towers 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 varieties; finite fields; small solutions of congruences; systems of forms; points in boxes M. Fujiwara,Distribution of rational points on varieties over finite fields, Mathematika35 (1988), 155--171. Forms of degree higher than two, Finite ground fields in algebraic geometry, Quadratic forms over general fields, Diophantine equations in many variables, Trigonometric and exponential sums (general theory) Distribution of rational points on varieties 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 function fields of one variable over finite fields; Gauss sum; non- polynomial class {\#}1 rings Thakur D. : Gauss sums for function fields , J. Number Theory 37 (1991) 242-252. Arithmetic theory of algebraic function fields, Other character sums and Gauss sums, Drinfel'd modules; higher-dimensional motives, etc., Finite ground fields in algebraic geometry Gauss sums 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 finite fields; symmetric tensor rank; algebraic function field; tower of function fields; modular curve; Shimura curve Computational aspects of algebraic curves, Effectivity, complexity and computational aspects of algebraic geometry, Number-theoretic algorithms; complexity Dense families of modular curves, prime numbers and uniform symmetric tensor rank of multiplication in certain 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 surface in projective 4-space; lifting theorem for surfaces; generalized trisecant lemma; general hyperplane section Mezzetti, E; Raspanti, I, A laudal-type theorem for surfaces in \({\mathbb{P}}^4\), Rend. Sem. Mat. Univ. Politec. Torino, 48, 529-537, (1993) Special surfaces, Projective techniques in algebraic geometry, Hypersurfaces and algebraic geometry A Laudal-type theorem for surfaces in \({\mathbb{P}}^ 4\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic ideal of points in projective n-space; multiplicity; Hilbert function Davis, E.; Geramita, A. V.: The Hilbert function of a special class of 1-dimensional C.M. Graded algebras. Queen's papers in pure and applied mathematics no. 67 (1984) Multiplicity theory and related topics, Relevant commutative algebra, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Projective techniques in algebraic geometry The Hilbert function of a special class of 1-dimensional Cohen-Macaulay graded 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 algebraic \(K\)-theory; values of \(L\)-functions; Beilinson conjecture; finite dimensional representations of graded pro-Lie algebra; polylogarithms; Bernoulli numbers; Riemann zeta-function; generic functional equation; trilogarithm; Bloch-Wigner function; Spence-Kummer relation; motivic cohomology; characteristic classes; Dedekind zeta function; number field; dilogarithm; regulator map; Deligne-Beilinson cohomology; mixed Tate category; Tannakian categories; duality of configurations; Grassmannian trilogarithm M. Prausa, \textit{epsilon: A tool to find a canonical basis of master integrals}, arXiv:1701.00725 [INSPIRE]. Étale cohomology, higher regulators, zeta and \(L\)-functions (\(K\)-theoretic aspects), Applications of methods of algebraic \(K\)-theory in algebraic geometry, Étale and other Grothendieck topologies and (co)homologies, Zeta functions and \(L\)-functions of number fields, \(K\)-theory of global fields, Other functions defined by series and integrals Geometry of configurations, polylogarithms, and motivic cohomology | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic extensions of function field; generic Galois extension; Kummer theory; Leopoldt's conjecture; cyclotomic fields; geometric class field theory C. Greither, Cyclic Galois extensions of commutative rings. Lecture Notes in Mathematics, vol. 1534. Springer, Berlin-Heidelberg-New York, 1992. Zbl0788.13003 MR1222646 Galois theory and commutative ring extensions, Research exposition (monographs, survey articles) pertaining to commutative algebra, Research exposition (monographs, survey articles) pertaining to number theory, Extension theory of commutative rings, Cyclotomic extensions, Integral representations related to algebraic numbers; Galois module structure of rings of integers, Ramification and extension theory, Ramification problems in algebraic geometry, Coverings in algebraic geometry Cyclic Galois extensions of commutative rings | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Fermat equations; modular curves; ABC-conjecture; asymptotic Fermat conjecture; elliptic curves; Galois representations; function fields G. Frey, ''On ternary equations of Fermat type and relations with elliptic curves,'' in Modular Forms and Fermat's Last Theorem, New York: Springer-Verlag, 1997, pp. 527-548. Elliptic curves over global fields, Higher degree equations; Fermat's equation, Elliptic curves On ternary equations of Fermat type and relations with 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 field extension; genus; Riemann-Roch theorem; algebraic function fields; different divisor; differentials Differential algebra, Field extensions, Algebraic functions and function fields in algebraic geometry On the notion of a differential in the theory of algebraic functions with arbitrary constant 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 Hasse principle; function fields of \(p\)-adic curves Parimala, R.: A Hasse principle for quadratic forms over function fields. Bull. amer. Math. soc. (N.S.) 51, No. 3, 447-461 (2014) Quadratic forms over general fields, Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields A Hasse principle for quadratic forms over function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic points in general position; Hilbert function; multiplicities; index of regularity; Hilbert polynomial; number of points lying on a conic Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Projective techniques in algebraic geometry, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Enumerative problems (combinatorial problems) in algebraic geometry Some remarks on the Hilbert function of a zero-cycle in \(\mathbb{P}^ 2\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Galois cohomology; Bloch-Kato conjecture; Laurent series fields in two or more variables; function fields in two or more variables; singularities; finite base fields; \(p\)-adic base fields; global base fields; Hasse principle; Brauer group; Brauer-Hasse-Noether exact sequence Galois cohomology, Varieties over finite and local fields, Varieties over global fields, Galois cohomology, Galois cohomology, Finite ground fields in algebraic geometry, Local ground fields in algebraic geometry, Global ground fields in algebraic geometry, Arithmetic ground fields for surfaces or higher-dimensional varieties, Singularities of surfaces or higher-dimensional varieties Vanishing theorems and Brauer-Hasse-Noether exact sequences for the cohomology of higher-dimensional fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic algebraic function fields; holomorphic semisimple differentials; p- extensions of \({\mathbb{Z}}_ pfields\) of CM-type; p-class group G. Villa and M. Madan,Structure of semisimple differentials and p-class groups in \(\mathbb{Z}\) p -extensions. Manuscripta Mathematica57 (1987), 315--350. Cyclotomic extensions, Arithmetic theory of algebraic function fields, Iwasawa theory, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Algebraic functions and function fields in algebraic geometry Structure of semisimple differentials and p-class groups in \({\mathbb{Z}}_ p\)-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 function fields; plane curves of genus one; exceptional points Nagell, T.: [3] ''Les points exceptionnels sur les cubiques planes du premier genre'', II, ibid. Nova Acta Reg. Soc. Sci. Upsaliensis, Ser. IV, 14, 1946, No. 3. Algebraic functions and function fields in algebraic geometry, Special algebraic curves and curves of low genus Les points exceptionnels sur les cubiques planes du premier genre | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic mechanical theorem proving in geometry; membership of the set of all polynomials Computational aspects in algebraic geometry A decision method for certain algebraic geometry problems | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Hurwitz inequality; coverings of curves; bounds for order of abelian subgroups of automorphism group of algebraic curve; characteristic p S. Nakajima,On abelian automorphism groups of algebraic curves, Journal of the London Mathematical Society (2)36 (1987), 23--32. Special algebraic curves and curves of low genus, Coverings of curves, fundamental group, Group actions on varieties or schemes (quotients) On abelian automorphism groups of algebraic curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic number of rational points; Deligne-Lusztig curves; function fields; large groups of automorphisms; Goppa codes HP Johan~P. Hansen and Jens~Peter Pedersen, \emph Automorphism groups of Ree type, Deligne-Lusztig curves and function fields, J. Reine Angew. Math. \textbf 440 (1993), 99--109. Algebraic functions and function fields in algebraic geometry, Geometric methods (including applications of algebraic geometry) applied to coding theory, Arithmetic ground fields for curves, Curves over finite and local fields, Finite ground fields in algebraic geometry, Arithmetic theory of algebraic function fields Automorphism groups of Ree type, Deligne-Lusztig curves and 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 representation of prime by principal form; parametrizations of the modular equation; ring class fields; discriminant; Euclid's regular polyhedra; 168-tesselation; Klein's curve of genus 3 Class field theory, Modular and automorphic functions, Representation problems, Arithmetic ground fields for curves Iterated ring class fields and the 168-tesselation | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic flasque tori; flasque resolution of tori; restriction map in flat cohomology; finite étale cover of integral regular semi-local rings; lifting problem for abelian extensions; Brauer group; generic matrices Colliot-Thélène, Jean-Louis; Sansuc, Jean-Jacques, Principal homogeneous spaces under flasque tori: applications, J. Algebra, 106, 1, 148-205, (1987) Étale and other Grothendieck topologies and (co)homologies, Homogeneous spaces and generalizations, Extension theory of commutative rings, Group actions on varieties or schemes (quotients), Cohomology theory for linear algebraic groups Principal homogeneous spaces under flasque tori; 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 genus; prime divisor; discrete valuation ring of rank 1; algebraic function field of one variable; invariants Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry On the genus of an algebraic function field | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic global function fields; Artin-Schreier extensions; genus; rational places; towers; limit of towers; asymptotically good towers Arithmetic theory of algebraic function fields, Curves over finite and local fields, Algebraic functions and function fields in algebraic geometry A problem of Beelen, Garcia and Stichtenoth on an Artin-Schreier tower in characteristic two | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic character sums; exponential sums; absolutely irreducible equations; equations in many variables; number of points in varieties over finite fields W. M. Schmidt, \textit{Equations over Finite Fields: An Elementary Approach}, Springer-Verlag, Berlin, New York, 1976. Research exposition (monographs, survey articles) pertaining to number theory, Curves over finite and local fields, Varieties over finite and local fields, Polynomials over finite fields, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Finite ground fields in algebraic geometry, Arithmetic theory of polynomial rings over finite fields, Exponential sums, Other character sums and Gauss sums, Higher degree equations; Fermat's equation Equations over finite fields. An elementary approach | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic 2-torsion sheaves; theta characteristics; nodal curves of the main stream; union of lines in general position; Prym theory Catanese F. Generic invertible sheaves of 2-torsion and generic invertible theta-characteristics on nodal plane curves. In: Lecture Notes in Math, vol. 1124. Berlin: Springer-Verlag, 1985, 58--70 Singularities of curves, local rings, Coverings of curves, fundamental group Generic invertible sheaves of 2-torsion and generic invertible thetacharacteristics on nodal plane curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Chowla's conjecture; \(L\)-functions; zeta functions of curves; Carlitz extensions; cyclotomic function fields; abelian varieties over finite fields Zeta and \(L\)-functions in characteristic \(p\), Zeta functions and \(L\)-functions, Cyclotomy, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) Vanishing of Dirichlet \(L\)-functions at the central point over function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic second Lefschetz theorem; vanishing cycles; pencils of hyperplane sections; fundamental group of the complement of a plane projective curve D. Chéniot, Vanishing cycles in a pencil of hyperplane sections of a non-singular quasi-projective variety, Proc. London Math. Soc. (3) 72 (1996), no. 3, 515 -- 544. Algebraic cycles, Pencils, nets, webs in algebraic geometry, Hypersurfaces and algebraic geometry Vanishing cycles in a pencil of hyperplane sections of a non-singular quasi-projective variety | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic schemes over finitely generated fields of characteristic \(p\); étale topology Этальные топологии схем над полями конечного типа над, Изв. АН СССР. Сер. матем., 54, 6, 1155-1167, (1990) Étale and other Grothendieck topologies and (co)homologies, Schemes and morphisms Étale topologies of schemes over fields of finite type 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 category of fields; duality for local fields; Grothendieck topologies Étale and other Grothendieck topologies and (co)homologies, (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.), Geometric class field theory Duality for local fields and sheaves on the category of 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 Birch-Swinnerton-Dyer conjecture; sums of squares; class number problem; imaginary quadratic fields; Gauss' conjecture; modular elliptic curve; Hasse-Weil L-function; class-number-one problem \BibAuthorsD. Goldfeld, Gauss' class number problem for imaginary quadratic fields, Bull. Amer. Math. Soc. 13 (1) (1985), 23--37. Class numbers, class groups, discriminants, Quadratic extensions, Algebraic number theory computations, Elliptic curves over global fields, History of mathematics in the 18th century, History of number theory, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Holomorphic modular forms of integral weight Gauss' class number problem for imaginary quadratic 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 Schmidt's subspace theorem; Diophantine approximation; hyperbolicity; integral points; entire curves Varieties over global fields, Heights, Schmidt Subspace Theorem and applications, Divisors, linear systems, invertible sheaves, Rational points, Arithmetic varieties and schemes; Arakelov theory; heights, Value distribution theory in higher dimensions, Hyperbolic and Kobayashi hyperbolic manifolds On the degeneracy of integral points and entire curves in the complement of nef effective divisors | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Igusa zeta function; p-adic fields; exponential sums; congruences in many variables; Newton polyhedra; complete intersection varieties W. A. Zúñiga-Galindo, ''Local zeta functions supported on analytic sets and Newton polyhedra,'' Intern. Math. Res. Notices (2009); doi: 10.1093/imrn/rnp035. Zeta functions and \(L\)-functions, Zeta and \(L\)-functions in characteristic \(p\), Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) Local zeta functions supported on analytic submanifolds and Newton polyhedra | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic mean values of \(L\)-functions; finite fields; function fields Zeta and \(L\)-functions in characteristic \(p\), \(\zeta (s)\) and \(L(s, \chi)\), Curves over finite and local fields, Relations with random matrices, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) The moments and statistical distribution of class number of primes 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 irreducible closed semialgebraic set; orders of function fields; real algebraic sets Andradas, C.; Gamboa, J. M., On projections of real algebraic varieties, Pacific J. Math., 121, 2, 281-291, (1986) Real algebraic and real-analytic geometry, Real-analytic and Nash manifolds, Ordered fields On projections of real algebraic varieties | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic tower of function fields; number of rational places; ihara's constant; cartier operator; \(p\)-rank N. Anbar, P. Beelen, N. Nguyen, A new tower meeting Zink's bound with good \(p\)-rank, appeared online 18 January 2017 in Acta Arithmetica. Algebraic functions and function fields in algebraic geometry, Curves over finite and local fields, Applications to coding theory and cryptography of arithmetic geometry A new tower with good \(p\)-rank meeting Zink's bound | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Igusa compactification; Siegel modular variety; moduli space of genus 2 curves; Weierstrass points; zeta function; characteristic p; Weil conjectures Ronnie Lee and Steven H. Weintraub, Cohomology of a Siegel modular variety of degree 2, Group actions on manifolds (Boulder, Colo., 1983) Contemp. Math., vol. 36, Amer. Math. Soc., Providence, RI, 1985, pp. 433 -- 488. Families, moduli, classification: algebraic theory, Theta series; Weil representation; theta correspondences, Classical real and complex (co)homology in algebraic geometry, Arithmetic ground fields for surfaces or higher-dimensional varieties, Automorphic functions, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) Cohomology of a Siegel modular variety of degree 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 Gauss-Manin connection; Bombieri-Dwork conjecture; arithmetic results; values of G-functions at algebraic points; applications of G-function theory; geometric differential equations; Fuchsian differential systems; heights; linear independence; global relations; Grothendieck's conjecture; algebraic relations between periods of algebraic varieties; bound for the heights of certain abelian varieties with a large endomorphism ring; transcendence André, Y.: G-functions and Geometry, Aspects of Mathematics, vol. E13. Friedr. Vieweg & Sohn, Braunschweig (1989) Transcendence (general theory), Research exposition (monographs, survey articles) pertaining to number theory, \(p\)-adic differential equations, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Structure of families (Picard-Lefschetz, monodromy, etc.), Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions), Ordinary differential equations in the complex domain G-functions and geometry | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic abelian varieties; finite fields; genus 3; class field theory; curves; rational points; genus 2; Deligne-Lusztig curves; ; Smyth's method; Voloch bound; Ihara constant; Ihara's tower theorem; Golod-Shafarevich theorem; Oesterle's theorem; asymptotic result; explicit formulas Weil's bound Research exposition (monographs, survey articles) pertaining to number theory, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Curves over finite and local fields, Finite ground fields in algebraic geometry, Rational points Rational points on curves over finite fields. With contributions by Everett Howe, Joseph Oesterlé and Christophe Ritzenthaler. Edited by Alp Bassa, Elisa Lorenzo García, Christophe Ritzenthaler and René Schoof | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic modular function; normalized generator of a function field; moonshine; complex multiplication; class fields over imaginary quadratic fields Chang Heon Kim and Ja Kyung Koo, Arithmetic of the modular function \?_{1,4}, Acta Arith. 84 (1998), no. 2, 129 -- 143. Modular and automorphic functions, Relationship to Lie algebras and finite simple groups, Holomorphic modular forms of integral weight, Algebraic numbers; rings of algebraic integers, Class field theory, Special algebraic curves and curves of low genus Arithmetic of the modular function \(j_{1,4}\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic pure sheaf of weight w; hard Lefschetz theorem; intersection homology; perverse sheaves; middle perversity; Verdier duality; finite characteristic Beilinson, A. A.; Bernstein, J.; Deligne, P., Faisceaux pervers, Astérisque, 100, (1982) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects), Research exposition (monographs, survey articles) pertaining to algebraic geometry, Finite ground fields in algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects) Perverse sheaves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic points of finite order; best approximation in rings of algebraic functions; Jacobian Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Special algebraic curves and curves of low genus, Jacobians, Prym varieties Unités de certains sous-anneaux de corps de fonctions algébriques | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic rings of differential operators; relative duality theorem for proper morphisms VIRRION (A.) . - Morphisme trace et théorème de dualité relative pour les D-modules arithmétiques , en préparation. Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Local ground fields in algebraic geometry, Commutative rings of differential operators and their modules The relative duality theorem for arithmetic \({\mathcal D}\)-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 equidistribution of exponential sums on an arithmetic surface; \({\mathcal D}\)-modules; derived categories; differential algebra in the tannakian category; one-parameter families of exponential sums over finite fields; classical differential equations with polynomial coefficients; \(\ell \)- adic perverse sheaves; differential galois group; rigid GAGA; deformation equations N. M. Katz, \textit{Exponential sums and differential equations}, \textit{Annals of Mathematics Studies}\textbf{124}, Princeton University Press, 1990. Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to field theory, Research exposition (monographs, survey articles) pertaining to number theory, Exponential sums, \(p\)-adic differential equations, Finite ground fields in algebraic geometry, Abstract differential equations Exponential sums and differential equations | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Hilbert basis theorem; real prime; acc for real ideals Ideals and multiplicative ideal theory in commutative rings, Commutative rings and modules of finite generation or presentation; number of generators, Real algebraic and real-analytic geometry, Polynomial rings and ideals; rings of integer-valued polynomials The ascending chain condition for real ideals | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic birational classification of real rational surfaces; classification of function fields; ruled surface Silhol, R., Classification birationnelle des surfaces rationnelles réelles, 308-324, (1990), Berlin Special surfaces, Topology of real algebraic varieties, Rational and birational maps, Families, moduli, classification: algebraic theory, Arithmetic theory of algebraic function fields Birational classification of real rational 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 trivial tangent bundles; prime characteristic; vanishing theorem George R. Kempf, Varieties with trivial tangent bundles, Topics in algebraic geometry (Guanajuato, 1989) Aportaciones Mat. Notas Investigación, vol. 5, Soc. Mat. Mexicana, México, 1992, pp. 109 -- 111. Vanishing theorems in algebraic geometry, Finite ground fields in algebraic geometry Varieties with trivial tangent 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 irreducible semialgebraic set; irreducible components of a semialgebraic set; Nash function; Nash set; w-Nash set; q-Nash set; substitution theorem; positivstellensätze; 17th Hilbert problem and real nullstellensatz Fernando, José F.; Gamboa, J. M., On the irreducible components of a semialgebraic set, Internat. J. Math., 23, 4, 1250031, 40 pp., (2012) Semialgebraic sets and related spaces, Nash functions and manifolds, Real-analytic and Nash manifolds On the irreducible components of a semialgebraic set | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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 Dwork cohomology; smooth complete intersection; projective space over finite field; \(p\)-adic estimates for the action of Frobenius; Newton polygon of the characteristic polynomial of Frobenius Adolphson, A.; Sperber, S., On the zeta function of a projective complete intersection, Illinois Journal of Mathematics, 52, 389-417, (2008) Zeta and \(L\)-functions in characteristic \(p\), \(p\)-adic cohomology, crystalline cohomology, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) On the zeta function of a projective complete intersection | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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 curves; characteristic classes; torsors for elliptic curves; cohomology Taelman, L., Characteristic classes for curves of genus one, Michigan math. J., 64, 3, 633-654, (2015) Families, moduli of curves (algebraic), Elliptic curves Characteristic classes for curves of genus 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 integral points; holomorphic curves; Schmidt's subspace theorem; second main theorem; hyperbolicity A. Levin, Generalizations of Siegel's and Picard's theorems, Ann. of Math. (2) 170 (2009), no. 2, 609-655. Varieties over global fields, Value distribution theory in higher dimensions, Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.), Global ground fields in algebraic geometry Generalizations of Siegel's and Picard's theorems | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Diophantine equation; polynomial curve; torus action; Schwarz-Halphen curve; platonic triple; the ABC-theorem Rational and unirational varieties, Group actions on affine varieties, Higher degree equations; Fermat's equation, Automorphisms of surfaces and higher-dimensional varieties Polynomial curves on trinomial hypersurfaces | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(p\)-adic Dwork cohomology; Katz conjecture; exponential modules; twisted de Rham theory; zeta function of the complete intersection; Weil conjectures; characteristic polynomial; Newton polygon; Hodge polygon; hypersurfaces; middle-dimensional cohomology Adolphson, A.; Sperber, S., On the zeta function of a complete intersection, Ann. Sci École Norm. Sup., 4, 287-328, (1996) Varieties over finite and local fields, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Finite ground fields in algebraic geometry, Étale cohomology, higher regulators, zeta and \(L\)-functions (\(K\)-theoretic aspects), Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry On the zeta function of a complete intersection | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic cubic diophantine equations; p-adic theory; curve of genus one; algebraic number fields; sum of three consecutive integral cubes Cassels, JWS, A Diophantine equation, Glasgow Math. J., 27, 11-18, (1985) Cubic and quartic Diophantine equations, Local ground fields in algebraic geometry, \(p\)-adic and power series fields A Diophantine equation | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic approximation theorem for valuations; Prüfer ring Valuations and their generalizations for commutative rings, Dedekind, Prüfer, Krull and Mori rings and their generalizations, Local deformation theory, Artin approximation, etc. R-Prüfer rings and approximation theorems | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Second Main Theorem; semiabelian variety; Bloch's theorem; defect relation; holomorphic curves Noguchi, J.; Winkelmann, J.; Yamanoi, K.: The value distribution of holomorphic curves into semi-abelian varieties. C. R. Acad. sci. Paris, série I 331, 235-240 (2000) Value distribution theory in higher dimensions, Hyperbolic and Kobayashi hyperbolic manifolds, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, Toric varieties, Newton polyhedra, Okounkov bodies The value distribution of holomorphic curves into semi-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 algebraic geometry codes of V. D. Goppa; projective curve; finite field; parity-check matrices; rational points; prime divisors of degree 1; algebraic function field Linear codes (general theory), Arithmetic ground fields for curves Codes on Hermitian 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 point sets in uniform position; Gröbner basis; Hilbert function; number of generators of ideal Galligo, A.: Examples d'ensembles de Points en Position Uniforme. To appear on Proceedings of MEGA conference. Basel: Birkhäuser 1990 Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Relevant commutative algebra Exemples d'ensembles de points en position uniforme. (Examples of point sets in uniform position) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic positive characteristic; minimal model theory of algebraic threefolds; mixed characteristic; cone theorem; contraction theorem; flip theorem Kawamata, Y., \textit{semistable minimal models of threefolds in positive or mixed characteristic}, J. Algebraic Geom., 3, 463-491, (1994) \(3\)-folds, Minimal model program (Mori theory, extremal rays), Finite ground fields in algebraic geometry Semistable minimal models of threefolds in positive or mixed characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic base-point-free theorem; semi-ample line bundles; positive characteristic; finite fields; minimal model program; log canonical Martinelli, D; Nakamura, Y; Witaszek, J, On the basepoint-free theorem for log canonical threefolds over the algebraic closure of a finite field, Algebra Number Theory, 9, 725-747, (2015) Minimal model program (Mori theory, extremal rays), Divisors, linear systems, invertible sheaves, \(3\)-folds On the basepoint-free theorem for log canonical threefolds over the algebraic closure of a finite field | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic function field; bounds for the height of rational points; torsion; canonical height; integral points; elliptic curves Elliptic curves over global fields, Arithmetic theory of algebraic function fields, Heights, Rational points Integral points on elliptic curves over function fields of positive characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic deformation theory; divided power structure; lifting of prime characteristic schemes Deformations and infinitesimal methods in commutative ring theory, Linkage, complete intersections and determinantal ideals, Deformations of singularities, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure Lifting zero-dimensional schemes and divided powers | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic polynomial in two variables; coordinate; polynomial automorphism; derivation; Jacobian conjecture; Abhyankar-Moh theorem; embedding of the line into the plane A. van den Essen and P. van Rossum, Coordinates in two variables over a \(\mathbb{Q}\)-algebra, Trans. Amer. Math. Soc. 356 (2004), 1691--1703. Polynomials over commutative rings, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) Coordinates in two variables over a \(\mathbb{Q} \)-algebra | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(\chi_y\)-characteristic; flag variety; Riemann-Roch; Hall-Littlewood polynomial; Yang-Baxter equation; Hecke algebra; Macdonald polynomial; characteristic of Hirzebruch; spaces of cohomology; generating function; manifold; chern classes; cohomology ring; Grothendieck ring Combinatorial aspects of representation theory, Riemann-Roch theorems, Grassmannians, Schubert varieties, flag manifolds, Representations of finite symmetric groups About the ``\(y\)'' in the \(\chi_y\)-characteristic of Hirzebruch | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Weierstrass points for higher dimensional schemes; wronskian determinant; sheaves of principal parts; osculating spaces Laksov, D. andThorup, A., Weierstrass points on schemes,J. Reine Angew. Math. 460 (1995), 127--164. Riemann surfaces; Weierstrass points; gap sequences, Schemes and morphisms Weierstrass points on schemes | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic abelian variety; function fields of curves; heights; Néron model Varieties over global fields, Elliptic curves over global fields, Rational points, Curves of arbitrary genus or genus \(\ne 1\) over global fields Torsion sections of abelian fibrations | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic resolution of singularities, hypersurfaces; complex analytic spaces; infinitely near singularities; modifications; horizontal morphisms, vertical morphisms, cone-fibered spaces, blow-ups, blowing cones, normal cones; tangent cones; Weierstrass preparation theorem; normal flatness; maximal contact; idealistic exponents; characteristic cones; continuity of maximal contact; contact stability theorems; trees; forests; groves; polygroves; soil; gardens; allées; normal crossings; Samuel stratification; complex analytic foliations; valuations; Newton polygon; Thom's conjecture Research exposition (monographs, survey articles) pertaining to algebraic geometry, Modifications; resolution of singularities (complex-analytic aspects), Complex spaces, Global theory and resolution of singularities (algebro-geometric aspects), Dynamical aspects of holomorphic foliations and vector fields, Singularities of holomorphic vector fields and foliations, Foliations (differential geometric aspects), Contact manifolds (general theory), Foliations in differential topology; geometric theory, Singularities in algebraic geometry Complex analytic desingularization | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic central division algebras; cyclic algebras; ramification; curve points; nodal points; Brauer groups; curves over local fields; \(p\)-adic curves; field extensions; algebraic function fields; curves over rings of integers of \(p\)-adic fields D. J. Saltman, ''Cyclic algebras over \(p\)-adic curves,'' J. Algebra, vol. 314, iss. 2, pp. 817-843, 2007. Finite-dimensional division rings, Curves over finite and local fields, Arithmetic ground fields for curves, Brauer groups of schemes, Skew fields, division rings, Algebras and orders, and their zeta functions, Algebraic functions and function fields in algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Local ground fields in algebraic geometry, Special surfaces Cyclic algebras over \(p\)-adic curves. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic vanishing theorem for cohomology; effective smooth divisor; morphism of divisor to curve; extension of divisor morphism; canonical divisor Serrano F. (1987). Extension of morphisms defined on a divisor. Math. Ann. 277: 395--413 Divisors, linear systems, invertible sheaves, Local structure of morphisms in algebraic geometry: étale, flat, etc. Extension of morphisms defined on a divisor | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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 Hodge structures for singular varieties; variation of Hodge structure; nilpotent orbit theorem; limiting mixed Hodge structure; several variables \(SL_ 2\)-orbit theorem; nonlinear system of differential equations E. Cattani, A. Kaplan and W. Schmid. Degeneration of Hodge structures. \textit{Ann. Math}, (2)123 (1986), 457-535 Transcendental methods, Hodge theory (algebro-geometric aspects), Singularities in algebraic geometry Degeneration of Hodge structures | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic finite fields; algebraic curves; Riemann-Roch theorem; number of rational points of an algebraic curves over a finite field; Riemann hypothesis; Hasse-Weil bound; asymptotic problems; zeta-functions and linear systems; a characterization of the Suzuki curve; maximal curves; Hermitian curve; Weierstrass points Torres F.: Algebraic curves with many points over finite fields. In: Martínez-Moro, E., Munuera, C., Ruano, D. (eds) Advances in Algebraic Geometry Codes, pp. 221--256. World Scientific Publishing Company, Singapore (2008) Local ground fields in algebraic geometry, Complex multiplication and moduli of abelian varieties, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Applications to coding theory and cryptography of arithmetic geometry, Geometric methods (including applications of algebraic geometry) applied to coding theory, Research exposition (monographs, survey articles) pertaining to number theory Algebraic curves with many points over finite fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Dyson's theorem; integral points on curves; Siegel's theorem; diophantine approximation on curves Curves of arbitrary genus or genus \(\ne 1\) over global fields, Heights, Arithmetic varieties and schemes; Arakelov theory; heights, Arithmetic ground fields for curves Dyson's 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 Lang conjecture; meet of algebraic subvariety and linear torus; linear form with algebraic coefficients; generalization of Thue-Siegel-Roth theorem; exponential diophantine equation; commutative algebraic group; finite union of subsets Laurent, M.: Exponential Diophantine equations. C. R. Acad. sci. Paris, ser. I 296, 945-947 (1983) Exponential Diophantine equations, Approximation to algebraic numbers, Global ground fields in algebraic geometry, Other algebraic groups (geometric aspects) Équations diophantiennes exponentielles | 0 |
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