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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 degree of projective variety; Hilbert function; intersection theory; Bernstein-Kushnirenko theorem A. G. Khovanskii, ''Intersection theory and Hilbert function,'' Funct. Anal. Appl., vol. 45, pp. 305-315, 2011. Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Lattices and convex bodies (number-theoretic aspects), Toric varieties, Newton polyhedra, Okounkov bodies, Special polytopes (linear programming, centrally symmetric, etc.) Intersection theory and Hilbert function | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Diophantine geometry; Diophantine approximation; Schmidt subspace theorem; Thue-Siegel-Roth; \(S\)-integral points; rational points; integral points on surfaces; Hilbert irreducibility theorem Research exposition (monographs, survey articles) pertaining to algebraic geometry, Rational points, Global ground fields in algebraic geometry, Varieties over global fields, Schmidt Subspace Theorem and applications Integral points on algebraic varieties. An introduction to Diophantine 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 actions of groups on commutative affine domains; finiteness theorem for orbits of ideals; enveloping algebras Farkas, D. R.: Groups acting on affine algebras. Trans. amer. Math. soc. 310, 485-497 (1988) Actions of groups on commutative rings; invariant theory, Geometric invariant theory, Universal enveloping (super)algebras, Group actions on varieties or schemes (quotients) Groups acting on affine 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 entireness of \(L\)-series; positive characteristic; \(F\)-crystals; \(L\)-series of Drinfeld modules; \(t\)-modules; schemes over finite fields; entireness of connected set theoretic intersections \(p\)-adic cohomology, crystalline cohomology, Drinfel'd modules; higher-dimensional motives, etc., Finite ground fields in algebraic geometry, Formal groups, \(p\)-divisible groups, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Local ground fields in algebraic geometry \(L\)-functions of algebraic varieties over finite fields: Rationality, meromorphy and entireness | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic algorithm for uniformizations in a neighborhood of a singular point; Newton polyhedra A. D. Bruno and A. Soleev, ''Local uniformization of branches of a space curve, and Newton polyhedra,''St. Petersburg Math. J.,3, No. 1, 53--82 (1992). Singularities of curves, local rings, Toric varieties, Newton polyhedra, Okounkov bodies, Curves in Euclidean and related spaces Local uniformization of branches of a space curve, 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 normal variety defined over a finite field; characteristic roots of the L-function; characteristic roots of the zeta function Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Finite ground fields in algebraic geometry, Exponential sums Exponential sums and forms for 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 zero estimates; arithmetic of abelian varieties; abelian integrals; Baker's method; Siegel's theorem; effective estimate for isogenies; 1- motives; isogenies between elliptic curves; Philippon's fundamental multiplicity estimate D. Bertrand, Transcendental methods in arithmetic geometry , Analytic number theory (Tokyo, 1988), Lecture Notes in Math., vol. 1434, Springer, Berlin, 1990, pp. 31-44. Linear forms in logarithms; Baker's method, Arithmetic ground fields for abelian varieties, Rational points Transcendental methods in arithmetic 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 noncommutative symmetric algebras; bimodules; tensor algebras; skew fields of frractions; function fields; noncommutative ruled surfaces Patrick D., J. Algebra 233 pp 16-- (2000) Rings arising from noncommutative algebraic geometry, Endomorphism rings; matrix rings, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Associative rings of functions, subdirect products, sheaves of rings, Noncommutative algebraic geometry, Rational and ruled surfaces Noncommutative symmetric algebras of two-sided vector spaces | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic algebraic threefolds; resolution of singularities; valuations; local uniformization; regularity; singularities of vector fields; blow ups; nonsingular projective models; birational morphisms; patching theorem Piltant, O.: An axiomatic version of Zariski's pathching theorem. Universidad de Valladolid. Preprint (2008) Global theory and resolution of singularities (algebro-geometric aspects), Modifications; resolution of singularities (complex-analytic aspects), Global theory of complex singularities; cohomological properties, Valuations and their generalizations for commutative rings, Singularities of vector fields, topological aspects An axiomatic version of Zariski's patching theorem | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic non-archimedean valued fields; analytic functions; \(p\)-adic cohomology; Weil conjectures; \(p\)-adic analytic varieties; action of Frobenius; rigid cohomology; \(p\)-adic analytic functions; Morita's \(p\)-adic gamma function \(p\)-adic differential equations, Rigid analytic geometry, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), Non-Archimedean function theory \(p\)-adic differential equations and \(p\)-adic interpolation of classical formulae | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic covers of curves in positive characteristic Zapponi, Leonardo, On the Belyi degree of a number field, (2008) Coverings of curves, fundamental group On the 1-pointed curves arising as étale covers of the affine line in positive characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic universal quotient; equivariant Euler characteristic; class invariant map; slice theorem; divisor with normal crossings; induced action; total integral; tame actions of group schemes Chinburg, T.; Erez, B.; Pappas, G.; Taylor, M. J., \textit{tame actions of group schemes: integrals and slices}, Duke Math. J., 82, 269-308, (1996) Group actions on varieties or schemes (quotients), Geometric invariant theory, Equivariant \(K\)-theory, Homogeneous spaces and generalizations, Rational points, Elliptic curves, Elliptic curves over global fields, Equivariant operations and obstructions in algebraic topology Tame actions of group schemes: Integrals and slices | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic product theorem of Nadel; bound for Chern class; Fano variety; movable rational curve Campana, F.: Une version géométrìque généralisée du théorème de produit de Nadel. C.R. Acad. Sci. Paris312, 853-856 (1991) Fano varieties, Characteristic classes and numbers in differential topology, Formal methods and deformations in algebraic geometry Une version géométrique généralisée du théorème du produit de Nadel. (A generalized geometric version of the product theorem of Nadel) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic covers of projective line; good reduction; abc conjecture; positive characteristic; continuation of Puiseux series U. ZANNIER, Good reduction of certain covers P1 3 P1 , Israel J. of Math., 124 (2001), pp. 93-114. Zbl1015.14010 MR1856506 Coverings of curves, fundamental group, Algebraic functions and function fields in algebraic geometry, Arithmetic ground fields for curves, Curves over finite and local fields, Local ground fields in algebraic geometry, Coverings in algebraic geometry Good reduction of certain covers \(\mathbb{P}^1\to\mathbb{P}^1\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Torelli theorem for curves; compact Riemann surface; complex manifold of isomorphism classes of line bundles; Jacobian O. Debarre, Sur la démonstration de A. Weil du théorème de Torelli pour les courbes, Compositio Math. 58 (1986), no. 1, 3 -- 11 (French, with English summary). Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables), Riemann surfaces, Jacobians, Prym varieties, Families, moduli of curves (algebraic), Families, moduli of curves (analytic) Sur la démonstration de A. Weil du théorème de Torelli pour les courbes. (On the proof of A. Weil of the Torelli 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 p-adic L-functions; CM fields; totally complex quadratic extension of a totally real field; Grössencharacter; p-adic measure; p-adic interpolation of Hecke L-function; functional equation; non-analytic Eisenstein series; Hilbert modular group; p-adic differential operators; p-adic Eisenstein series N.M. Katz, ''p-Adic L-functions for CM-fields,'' Invent. Math. 49(3), 199--297 (1978). Zeta functions and \(L\)-functions, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), \(p\)-adic differential equations, Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Complex multiplication and moduli of abelian varieties \(p\)-adic \(L\)-functions for CM 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 motives; review of Iwasawa main conjecture; cyclotomic fields; elliptic curves; Selmer group; cyclotomic deformations of motives R. Greenberg, ''Iwasawa theory and \(p\)-adic deformations of motives,'' in Motives, II (Seattle, WA, 1991), Proc. Sympos. Pure Math. 55, Amer. Math. Soc., Providence, 1994, 193--223. Iwasawa theory, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Generalizations (algebraic spaces, stacks), Research exposition (monographs, survey articles) pertaining to number theory Iwasawa theory and \(p\)-adic deformations of motives | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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 functions of determinantal loci; bitableaux; determinantal polynomials; second fundamental theorem of invariant theory Shreeram S. Abhyankar, Determinantal loci and enumerative combinatorics of Young tableaux, Algebraic geometry and commutative algebra, Vol. I, Kinokuniya, Tokyo, 1988, pp. 1 -- 26. Determinantal varieties, Enumerative problems (combinatorial problems) in algebraic geometry, Homogeneous spaces and generalizations, Projective techniques in algebraic geometry Determinantal loci and enumerative combinatorics of Young tableaux | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic algebraic cycles over finite fields; zeta function; Riemann-Roch; zeta functions of zero cycles Wan, D.: Zeta functions of algebraic cycles over finite fields. Manuscripta math. 74, 413-444 (1992) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Algebraic cycles, Finite ground fields in algebraic geometry, Varieties over finite and local fields, Other Dirichlet series and zeta functions Zeta functions of algebraic cycles 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 Hasse-Weil zeta-functions; \(p\)-adic periods; \(p\)-adic fields; \(p\)-adic zeta functions; arithmetic of special values; zeta-functions; generalized Iwasawa main conjecture; Fontain's ring; explicit reciprocity laws; Lubin-Tate formal groups; dual exponential maps Kato, K.: Lectures on the approach to Iwasawa theory for Hasse-Weil \(L\)-functions via \(B_{\mathrm dR}\) II. Non publié Iwasawa theory, Zeta functions and \(L\)-functions of number fields, Zeta functions and \(L\)-functions, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Class field theory; \(p\)-adic formal groups Lectures on the approach to Iwasawa theory for Hasse-Weil \(L\)-functions via \(B_{dR}\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic discriminant; Cayley-Hamilton theorem; characteristic functions; commutative operator vessel; commutative \(n\)-tuples of Hilbert space operators; finite rank imaginary parts; Banach space operators; determinantal varieties; Bezoutians Kravitsky, N., Discriminant varieties and discriminant ideals for operator vessels in Banach space, Integral Equations Operator Theory, 23, 4, 441-458, (1995) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc., Varieties and morphisms, Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) Discriminant varieties and discriminant ideals for operator vessels in Banach space | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic derivative of L-functions; nonvanishing theorems; cuspidal new-form; automorphic L-function; twisted L-function; elliptic curve; rational points D. Bump, S. Friedberg, and J. Hoffstein, A nonvanishing theorem for derivatives of automorphic \(L\)-functions with applications to elliptic curves , Bull. Amer. Math. Soc. (N.S.) 21 (1989), no. 1, 89-93. Holomorphic modular forms of integral weight, Theta series; Weil representation; theta correspondences, Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) A nonvanishing theorem for derivatives of automorphic L-functions with applications to 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 sums of squares; positive semidefinite function; formally real field; real holomorphy ring; Hilbert's 17-th problem; rational function fields; real closed field Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Ordered fields, Valued fields, Valuations and their generalizations for commutative rings, Real algebraic and real-analytic geometry On a variation of Hilbert's 17th problem | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Iitaka conjecture; positivity of direct images; uniformization theorem for compact Kähler orbifolds with trivial first Chern class Minimal model program (Mori theory, extremal rays), Transcendental methods of algebraic geometry (complex-analytic aspects), Fibrations, degenerations in algebraic geometry, \(n\)-folds (\(n>4\)) Kodaira dimension of algebraic fiber spaces over 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 Nevanlinna theory; second main theorem; hypersurfaces Van Tan, Tran; Van Truong, Vu, A non-integrated defect relation for meromorphic maps of complete Kähler manifolds into a projective variety intersecting hypersurfaces, Bull. sci. math., 136, 111-126, (2012) Value distribution theory in higher dimensions, Meromorphic mappings in several complex variables, Picard-type theorems and generalizations for several complex variables, Hypersurfaces and algebraic geometry A non-integrated defect relation for meromorphic maps of complete Kähler manifolds into a projective variety intersecting 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 finite fields; singular multiplicative character sums; cohomological interpretation of character sums; an upper bound for the sum of Betti numbers Rojas-León, A., Estimates for singular multiplicative character sums, Intern. Math. Res. Notices, 2005, 1221-1234, (2005) Varieties over finite and local fields, Estimates on character sums, Other character sums and Gauss sums, Finite ground fields in algebraic geometry, Research exposition (monographs, survey articles) pertaining to number theory Estimates for singular multiplicative character 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 Nash blowups; normal varieties; differential operators; methods in prime characteristic Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Positive characteristic ground fields in algebraic geometry, Rings of differential operators (associative algebraic aspects), Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Hypersurfaces and algebraic geometry Nash blowups in prime characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic height inequalities; algebraic point on a regular arithmetic surface; Arakelov prime divisor; arithmetic discriminant; finiteness theorem for finite coverings; arithmetic divisors; torsion sheaves P. Vojta, ''Arithmetic discriminants and quadratic points on curves,'' in Arithmetic Algebraic Geometry, van der Geer, G., Oort, F., and Steenbrink, J., Eds., Boston: Birkhäuser, 1991, pp. 359-376. Arithmetic varieties and schemes; Arakelov theory; heights, Rational points, Arithmetic ground fields for curves, Higher degree equations; Fermat's equation Arithmetic discriminants and quadratic points on 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 varieties of triples of commuting matrices; commuting pairs in the centralizer of a matrix; \(r\)-regular matrices; approximation by 1-regular matrices Šivic, Klemen, On varieties of commuting triples II, Linear Algebra Appl., 437, 2, 461-489, (2012) Commutativity of matrices, Algebraic systems of matrices, Elementary questions in algebraic geometry, Canonical forms, reductions, classification On varieties of commuting triples. II. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic tower of function fields; one-point code; minimum distance; Feng-Rao bound Hasegawa, T.; Kondo, S.; Kurusu, H., A sequence of one-point codes from a tower of function fields, Des. Codes Cryptogr., 41, 3, 251-267, (2006) Algebraic functions and function fields in algebraic geometry, Applications to coding theory and cryptography of arithmetic geometry, Geometric methods (including applications of algebraic geometry) applied to coding theory A sequence of one-point codes from a tower of function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic abelian variety; theory ACFA; group definable in a model; model theoretic stability; 1-basedness; model companion of the theory of fields with an automorphism; Manin-Mumford conjecture; projective curve; Jacobian variety Model-theoretic algebra, Abelian varieties of dimension \(> 1\), Model theory of fields, Rational points ACFA and the Manin-Mumford conjecture | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic standard basis; Gröbner basis; syzygies of a canonical curve; equations of Petri's type; non-minimal resolution; reducible canonical curves; Green's conjecture; second syzygy module; Hilbert's syzygy theorem Milnor, J.: On the 3-dimensional Brieskorn manifolds \textit{M(p, q, r)}. In: Neuwirth, L.P. (ed.) Knots, Groups, and 3-Manifolds (Papers Dedicated to the Memory of R. H. Fox), pp. 175-225. Princeton Univ. Press, Princeton, N. J. (1975) Singularities of curves, local rings, Computational aspects of algebraic curves, Syzygies, resolutions, complexes and commutative rings, Global theory and resolution of singularities (algebro-geometric aspects), Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) A standard basis approach to syzygies of canonical 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 central simple algebras; Brauer groups; adjoint semisimple linear algebraic groups; Borel varieties; twisted flag varieties; projective varieties; change of Schur index; function fields; groups of inner type; parabolic subgroups; index reduction formula; Brauer-Severi varieties A. S. Merkurjev, I. A. Panin, A. R. Wadsworth, \textit{Index reduction formulas for twisted flag varieties}. I, \(K\)-Theory \textbf{10} (1996), no. 6, 517-596. Finite-dimensional division rings, Group actions on varieties or schemes (quotients), Representation theory for linear algebraic groups, \(K\)-theory of schemes Index reduction formulas for twisted flag varieties. I | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic elliptic curves over function fields; Tate-Shafarevich groups; explicit computation of \(L\)-functions; BSD conjecture; Gauss and Kloosterman sums Elliptic curves over global fields, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Gauss and Kloosterman sums; generalizations Elliptic curves with large Tate-Shafarevich groups over \(\mathbb{F}_q(t)\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic compact Riemann surfaces; algebraic function fields of one variable Riemann surfaces; Weierstrass points; gap sequences, Algebraic functions and function fields in algebraic geometry, Compact Riemann surfaces and uniformization Compact Riemann surfaces and 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 field of characteristic zero; integrable \(K\)-connection; smooth variety; characteristic classes; Chow group; cycle map in the Deligne cohomology Esnault, Hélène, Characteristic classes of flat bundles. II, \(K\)-Theory, 6, 1, 45-56, (1992) Characteristic classes and numbers in differential topology, Homology with local coefficients, equivariant cohomology, Étale and other Grothendieck topologies and (co)homologies Characteristic classes of flat bundles. II | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic arithmetic algebraic geometry; Diophantine geometry; varieties over global fields; Brauer-Manin obstruction; homogeneous spaces over global fields; obstruction to the local-global principle; compactifications of torsors; Tate-Shafarevich group Global ground fields in algebraic geometry, Homogeneous spaces and generalizations, Étale and other Grothendieck topologies and (co)homologies, Varieties over global fields, Arithmetic varieties and schemes; Arakelov theory; heights The reciprocity obstruction for rational points on compactifications of torsors under tori over fields with global duality | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Brauer groups; indices; function fields of projective spaces; \(P_{n,r}\)-fields Finite-dimensional division rings, Brauer groups (algebraic aspects), Algebraic functions and function fields in algebraic geometry Indices of central simple algebras over fields of functions of projective spaces. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic abelian variety; function field of characteristic \(p\); Manin map A. Buium and J. F. Voloch, Reduction of the Manin map modulo p, Journal für die Reine und Angewandte Mathematik 460 (1995), 117--126. Arithmetic ground fields for abelian varieties, Finite ground fields in algebraic geometry Reduction of the Manin map modulo \(p\) | 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 irreducible curve; rational function; number of prime divisors Pappalardi, F.; Shparlinski, I.: On Artin's conjecture over function fields. Finite fields appl. 1, 399-404 (1995) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves over finite and local fields On Artin's conjecture 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 boundedness conjecture for group of rational torsion points; elliptic curve; Mordell-Weil theorem; abelian variety; potential complex multiplication; torsion points on the Fermat curves; p-adic abelian integrals Coleman, Robert F., Torsion points on curves and \textit{p}-adic abelian integrals, Ann. of Math. (2), 121, 1, 111-168, (1985), MR782557 Analytic theory of abelian varieties; abelian integrals and differentials, Local ground fields in algebraic geometry, Complex multiplication and abelian varieties, Rational points, Special algebraic curves and curves of low genus, Elliptic curves, Algebraic functions and function fields in algebraic geometry, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.) Torsion points on curves and p-adic abelian integrals | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic approximation by regular function; \(R\)-space; real algebraic variety; semialgebraic set; sign; factoriality of the ring of regular functions; real-analytic manifold F. Acquistapace, F. Broglia:More about signatures and approximation, to appear in Geom. Dedicata. Semialgebraic sets and related spaces, Real-analytic and semi-analytic sets, Real-analytic manifolds, real-analytic spaces More about signatures and approximation | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic product theorem of Nadel; bound for Chern class; Fano variety; movable rational curve Campana, F. Une version géométrique généralisée du théorème du produit de Nadel,Bull. Soc. Math. France 119(4), 479--493 (1991). Fano varieties, Characteristic classes and numbers in differential topology A generalized geometric version of the product theorem of Nadel | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(F\)-crystals; Newton polygons; characteristic \(p\); stratification; isogeny theorem; \(p\)-divisible groups; deformations; resolution of singularities [13] A. J. de Jong & F. Oort, `` Purity of the stratification by Newton polygons {'', \(J. Amer. Math. Soc.\)13 (2000), no. 1, p. 209-241. &MR 17 | &Zbl 0954.} Global theory and resolution of singularities (algebro-geometric aspects), \(p\)-adic cohomology, crystalline cohomology, Formal groups, \(p\)-divisible groups, Toric varieties, Newton polyhedra, Okounkov bodies, Finite ground fields in algebraic geometry, Singularities in algebraic geometry Purity of the stratification by Newton polygons | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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 curves; algebraic function fields; positive characteristic; automorphism groups; Artin-Schreier-Mumford curve Korchmáros, G.; Montanucci, M., The geometry of the Artin-Schreier-Mumford curves over an algebraically closed field, (2016) Automorphisms of curves, Algebraic functions and function fields in algebraic geometry The geometry of the Artin-Schreier-Mumford curves over an algebraically closed 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 abstract elliptic function fields; structure of ring of meromorphisms; Riemann Hypothesis Hasse, H.: Zur Theorie der abstrakten elliptischen Funktionenkörper III. Die Struktur des Meromorphismenrings. Die Riemannsche Vermutung. J. Reine Angew. Math. \textbf{175}, 193-208 (1936) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry Zur Theorie der abstrakten elliptischen Funktionenkörper. III: Die Struktur des Meromorphismenringes. Die Riemannsche Vermutung | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic truncated moment problem; measure representation; semialgebraic sets; positive functional; Riesz-Haviland theorem; \(K\)-moment problems; Riesz functional; moment matrix extension; flat extensions of positive matrices; localizing matrices Curto RE, Fialkow LA (2008) An analogue of the Riesz-Haviland theorem for the truncated moment problem. \textit{J. Funct. Anal.} 255(10):2709-2731. CrossRef Moment problems, Linear operator methods in interpolation, moment and extension problems, Semialgebraic sets and related spaces An analogue of the Riesz-Haviland theorem for the truncated moment problem | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic bound for genus of curves in 4-space Luca Chiantini, Ciro Ciliberto, and Vincenzo Di Gennaro, The genus of curves in \?\(^{4}\) verifying certain flag conditions, Manuscripta Math. 88 (1995), no. 1, 119 -- 134. Special algebraic curves and curves of low genus, Plane and space curves, Grassmannians, Schubert varieties, flag manifolds The genus of curves in \(\mathbb{P}^ 4\) verifying certain flag conditions | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic symmetric products of curves; Jacobian varieties; Shafarevich conjecture implies the Mordell conjecture; zeta function; Torelli theorem J.S. Milne ; '' Jacobian varieties ''. Arithmetic geometry edited by G. Cornell, J.J. Silverman, Springer-Verlag ( 1986 ). MR 861976 | Zbl 0604.14018 Jacobians, Prym varieties, Picard schemes, higher Jacobians, Families, moduli of curves (algebraic), Algebraic moduli of abelian varieties, classification Jacobian 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 representation theory of finite-dimensional algebras; tame hereditary algebras; tame bimodules; noncommutative curves of genus zero; noncommutative function fields of genus zero D. Kussin, Parameter curves for the regular representations of tame bimodules, J. Algebra, 320 (2008), no. 6, 2567--2582.Zbl 1197.16017 MR 2437515 Representations of associative Artinian rings, Noncommutative algebraic geometry, Special algebraic curves and curves of low genus, Rings arising from noncommutative algebraic geometry, Representation type (finite, tame, wild, etc.) of associative algebras Parameter curves for the regular representations of tame bimodules. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic discrete group; Chow ring valued characteristic classes for algebraic bundles; complex representation; multiplicative transfer; Chern classes of the induced representation; Riemann-Roch formula for induced representations; Stiefel-Whitney classes of real representations Fulton, W., MacPherson, R.: Characteristic classes of direct image bundles for covering maps. Ann. Math. (2) 125, 1--92 (1987) Homology of classifying spaces and characteristic classes in algebraic topology, Homological methods in group theory, Riemann-Roch theorems Characteristic classes of direct image bundles for covering maps | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic F-finite valuation rings; divisorial valuations in prime characteristic Datta, Rankeya; Smith, Karen E., Correction to the article ``Frobenius and valuation rings'' [ MR3531362], Algebra Number Theory, 11, 4, 1003-1007, (2017) Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Valuation rings, Singularities in algebraic geometry Correction to the article ``Frobenius and valuation 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 Diophantine inequalities; asymptotic Fermat; survey; Szpiro conjecture; modular height; conductor; elliptic curves; abc conjecture; Hall conjecture; upper bounds on the number of torsion elements; lower bound on the canonical height Lang S 1990 Old and new conjectured diophantine inequalities \textit{Bull. Am. Math. Soc.}23 37--75 Curves of arbitrary genus or genus \(\ne 1\) over global fields, Research exposition (monographs, survey articles) pertaining to number theory, Diophantine inequalities, Higher degree equations; Fermat's equation, Elliptic curves over global fields, Arithmetic ground fields for curves, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Global ground fields in algebraic geometry, Diophantine inequalities, Elliptic curves Old and new conjectured Diophantine inequalities | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic finite fields; function fields; hyperelliptic curves; \(K\)-groups; moments of quadratic Dirichlet \(L\)-functions; class number Andrade, J. C.; Bae, S.; Jung, H., Average values of \textit{L}-series for real characters in function fields, Res. Math. Sci., 3, (2016), 47 Curves over finite and local fields, Zeta and \(L\)-functions in characteristic \(p\), Relations with random matrices, Arithmetic theory of algebraic function fields, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) Average values of \(L\)-series for real characters in function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic characteristic \(p\); \(p\)-closed rational vector fields; \(K3\) surfaces; unirational surfaces; Hirzebruch surfaces; Zariski surfaces; Enriques' surfaces; surfaces of general type; Artin invariant; quasi-elliptic surfaces M. Hirokado, Zariski surfaces as quotients of Hirzebruch surfaces by \(1\)-foliations , Yokohama Math. J., 47 (2000), 103--120. Finite ground fields in algebraic geometry, \(K3\) surfaces and Enriques surfaces, Special surfaces, Surfaces of general type, Rational and unirational varieties Zariski surfaces as quotients of Hirzebruch surfaces by 1-foliations | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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; tame fundamental group; Markoff triples; tamely ramified covers; characteristic \(p\); covers of curves Curves over finite and local fields, Coverings of curves, fundamental group Tamely ramified covers of the projective line with alternating and symmetric monodromy | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic supercuspical family of curves; pathology in positive characteristic; Frobenius; singular point Singularities of curves, local rings, Families, moduli of curves (algebraic), Finite ground fields in algebraic geometry On supercuspidal families of curves on a surface in positive characteristic. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic classification of extremal rational elliptic surfaces in characteristic \(p\) Lang, William E., Extremal rational elliptic surfaces in characteristic \(p\). II. Surfaces with three or fewer singular fibres, Ark. Mat., 0004-2080, 32, 2, 423-448, (1994) Rational and ruled surfaces, Finite ground fields in algebraic geometry, Families, moduli, classification: algebraic theory Extremal rational elliptic surfaces in characteristic \(p\). II: Surfaces with three or fewer singular fibres | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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 number fields; algebraic function fields; algebraic \(p\)-adic height pairing; elliptic curve; Selmer group; complex multiplication; pairing of Galois cohomology groups; Poincaré group; Galois extension Galois theory, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry On a Galois extension with restricted ramification related to the Selmer group of an elliptic curve with complex multiplication | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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; norm residue homomorphism; \(K_ 2\) of fields; Brauer group; Merkur'ev-Suslin theorem Galois cohomology, Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects), Brauer groups of schemes A short remark on the Merkurjev-Suslin theorem | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic subfields of algebraic function field; theorem of de Franchis Algebraic functions and function fields in algebraic geometry, Coverings of curves, fundamental group, Holomorphic mappings and correspondences Über eine Schranke für den Satz von De Franchis-Severi | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic height function; distribution of integral points; arithmetic order; Faltings' theorem; rational points; Mordell's conjecture J. H. Silverman, ''Integral points on curves and surfaces'' in Number Theory (Ulm, Germany, 1987) , Lecture Notes in Math. 1380 , Springer, New York, 1989, 202--241. Rational points, Modular and Shimura varieties, Arithmetic ground fields for curves, Arithmetic ground fields for surfaces or higher-dimensional varieties, Diophantine equations Integral points on curves and surfaces | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic moduli of \(K3\) surfaces in positive characteristic \(K3\) surfaces and Enriques surfaces Local structure of the moduli space of \(K3\) surfaces in positive characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Artin-Schreier extensions of function fields; automorphisms; \(k\)-error linear complexity; joint linear complexity; multisequences Cryptography, Algebraic coding theory; cryptography (number-theoretic aspects), Applications to coding theory and cryptography of arithmetic geometry, Shift register sequences and sequences over finite alphabets in information and communication theory Multisequences with large linear and \(k\)-error linear complexity from a tower of Artin-Schreier extensions 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 elliptic curves; units in algebraic function fields; parametrized cubic fields Units and factorization, Elliptic curves, Arithmetic theory of algebraic function fields, Cubic and quartic extensions Parametrized units in algebraic number fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic elliptic curves over global fields; arithmetic function fields; sheaves of differentials; Kähler differentials; arithmetic schemes; valuation rings Kunz, E.; Waldi, R.: Integral differentials of elliptic function fields. Abh. math. Sem. univ. Hamburg 74, 243-252 (2004) Elliptic curves over global fields, Arithmetic theory of algebraic function fields, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Algebraic functions and function fields in algebraic geometry, Valuation rings Integral differentials of elliptic 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 heights for function fields; the Bogomolov conjecture Heights, Positive characteristic ground fields in algebraic geometry, Abelian varieties of dimension \(> 1\) A Bogomolov type statement for functions 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 isomorphism of Witt rings; Witt equivalence of fields; global field; algebraic function field Koprowski, Przemysław, Local-global principle for Witt equivalence of function fields over global fields, Colloq. Math., 91, 2, 293-302, (2002) Algebraic theory of quadratic forms; Witt groups and rings, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Quadratic forms over general fields, Algebraic functions and function fields in algebraic geometry Local-global principle for Witt equivalence of function fields over global 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 lattices in function fields; basis reduction; computation in the Jacobian S. Paulus: Lattice basis reduction in function fields, J. Buhler (Ed.), Proceedings of the Third Symposium on Algorithmic Number Theory, Portland, Oregon, United States: ANTS-III, Springer LNCS 1423 (1998), pp. 567-575. Number-theoretic algorithms; complexity, Arithmetic theory of algebraic function fields, Jacobians, Prym varieties Lattice basis reduction in function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic inverse Galois theory; Galois coverings; rigid analytic spaces; Galois extensions of function fields Inverse Galois theory, Coverings in algebraic geometry Rigid geometry and Galois extensions of function fields in one variable | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic algebraic independence; large transcendence degrees; algebraic; groups; deformations; values of exponential function; elliptic; functions in several variables; zeta-functions; sigma function; abelian function Waldschmidt, M., Groupes algébriques et grands degrés de transcendance,Acta Math.,156 (1986), 253--302. Algebraic independence; Gel'fond's method, Elliptic curves, Group varieties Groupes algébriques et grands degrés de transcendance. Appendice: Déformation d'un groupe algébrique par J. Fresnel. (Algebraic groups and large transcendence degrees) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic arithmetic variety; arithmetic Chow groups; direct image map for hermitian vector bundles; zeta function; Quillen metric; Riemann-Roch- Grothendieck theorem; moving lemma Soulé, C., Lectures on Arakelov geometry, Cambridge Studies in Advanced Mathematics, vol. 33, (1992), Cambridge University Press, in collaboration with Abramovich, D., Burnol, J.F., Kramer, J.K. Arithmetic varieties and schemes; Arakelov theory; heights, Parametrization (Chow and Hilbert schemes), Riemann-Roch theorems Lectures on Arakelov 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 rational curve; formally real field; space of orderings; dense orbits property; \(Q_ 1\)-fields; function fields of real algebraic varieties; elliptic curve Real algebraic and real-analytic geometry, Ordered fields, Arithmetic ground fields for curves, Special algebraic curves and curves of low genus, Rational and unirational varieties, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) A characterization of rational and elliptic real algebraic curves in terms of their space of orderings | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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 last theorem; ABC-conjecture; Szpiro's conjecture; absolute value of the minimal discriminant; asymptotic Fermat conjecture; conjecture of Shimura-Taniyama-Weil; Serre's conjecture about modular representations Frey, G., Links between solutions of \(A - B = C\) and elliptic curves, (Number Theory, Ulm, 1987, Lecture Notes in Math., vol. 1380, (1989), Springer New York), 31-62 Arithmetic ground fields for curves, Global ground fields in algebraic geometry, Linear Diophantine equations, Higher degree equations; Fermat's equation, Elliptic curves Links between elliptic curves and solutions of \(A-B=C\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic length of chain of syzygíes; homogeneous ideals of polynomial rings; characteristic; Hilbert function Polynomial rings and ideals; rings of integer-valued polynomials, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Ideals and multiplicative ideal theory in commutative rings Eigenschaften von Polynomidealen in Abhängigkeit von der Charakteristik. (Properties of polynomial ideals dependent on the 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 finite fields; algebraic function fields; algebraic curves; Riemann-Roch theorem; rational places; coding theory; algebraic-geometry codes; function-field codes; elliptic and hyperelliptic curve cryptography; McEliece and Niederreiter cryptosystems; frameproof codes H. Niederreiter and C.P. Xing. \textit{Algebraic geometry in coding theory and cryptography}. Princeton University Press, Princeton, NJ (2009). Research exposition (monographs, survey articles) pertaining to algebraic geometry, Finite ground fields in algebraic geometry, Applications to coding theory and cryptography of arithmetic geometry, Algebraic functions and function fields in algebraic geometry, Cryptography, Geometric methods (including applications of algebraic geometry) applied to coding theory Algebraic geometry in coding theory and cryptography | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic L-functions; p-divisibility of certain exponential sums over finite fields; theorem of Chevalley-Warning Adolphson, A.; Sperber, S., \(p\)-Adic estimates for exponential sums and the theorem of Chevalley-Warning, Ann. Sci. Ècole Norm. Sup., 20, 545-556, (1987) Exponential sums, Estimates on character sums, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) \(p\)-adic estimates for exponential sums and the theorem of Chevalley-Warning | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Mordell-Weil theorem; rational points; \(p\)-descent; Selmer group; \(L\)- function; conjecture of Birch and Swinnerton-Dyer; Igusa curves Ulmer, D. L., P-descent in characteristic p, Duke Math. J., 62, 2, 237-265, (1991) Elliptic curves, Rational points, Arithmetic theory of algebraic function fields, Finite ground fields in algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Arithmetic ground fields for curves \(p\)-descent in characteristic \(p\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic triviality of algebras over rational function fields; rationality of conic bundle; local global principle I. I. Voronovich, A local-global principle for algebras over fields of rational functions, Dokl. Akad. Nauk BSSR 31 (1987), no. 10, 877 -- 880, 956 (Russian, with English summary). Quaternion and other division algebras: arithmetic, zeta functions, Brauer groups of schemes, Rational and unirational varieties, Algebraic functions and function fields in algebraic geometry, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) A local-global principle for algebras over rational function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic proof of Mordell conjecture; Tate conjecture; Shafarevich conjecture; Torelli theorem; effective number of; rational points; finiteness theorems for elliptic curves Lucien Szpiro, La conjecture de Mordell (d'après G. Faltings), Astérisque 121-122 (1985), 83 -- 103 (French). Seminar Bourbaki, Vol. 1983/84. Arithmetic ground fields for abelian varieties, Rational points, Global ground fields in algebraic geometry, Linear Diophantine equations, Elliptic curves, Special algebraic curves and curves of low genus La conjecture de Mordell. [D'après G. Faltings] | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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; congruence function fields; genus; rational places; limits of towers; Zink's bound; cubic finite fields; Artin--Schreier extensions; Drinfeld--Vlăduţ bound; Hasse--Weil bound [4]A. Bassa, A. Garcia and H. Stichtenoth, A new tower over cubic finite fields, Moscow Math. J. 8 (2008), 401--418. Arithmetic theory of algebraic function fields, Curves over finite and local fields, Modular and Shimura varieties, Rational points A new tower over cubic 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 base point free theorem; semiample line bundles; positive characteristic; finite fields Minimal model program (Mori theory, extremal rays), Divisors, linear systems, invertible sheaves On the base point free theorem and Mori dream spaces 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 compatible systems of Galois representations; independence of algebraic monodromy groups; automorphic compatible systems; compatible systems over global function fields Galois representations, Representation-theoretic methods; automorphic representations over local and global fields, Langlands-Weil conjectures, nonabelian class field theory, Structure of families (Picard-Lefschetz, monodromy, etc.), Positive characteristic ground fields in algebraic geometry Independence of algebraic monodromy groups in compatible systems | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic linear systems; rational normal curves; bounds for the regularity index of fat points; Hilbert function of the coordinate ring Trung, N. V.: An algebraic approach to the regularity index of fat points in P2, Kodai math. J. 17, No. 3, 382-389 (1994) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series An algebraic approach to the regularity index of fat points in \(P^ n\) | 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 prime ideal in the ring of semialgebraic functions; Krull dimension Gamboa, On prime ideals in rings of semialgebraic functions, Proc. Amer. Math. Soc. 118 (4) pp 1034-- (1993) Semialgebraic sets and related spaces, Ideals and multiplicative ideal theory in commutative rings, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) On prime ideals in rings of semialgebraic functions | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic quasi-hull; ultraproduct; plus-closure; rational singularity; Briançon-Skoda theorem; balanced big Cohen-Macaulay algebra; tight closure; local domain of finite type; characteristic \(p\) domains H. Schoutens, Canonical big Cohen-Macaulay modules and rational singularities, Illinois Journal of Mathematics 41 (2004), 131--150. Cohen-Macaulay modules, Singularities in algebraic geometry, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure Canonical big Cohen-Macaulay algebras and rational singularities | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic rationality of curves; complement of curves in the complex projective plane; Euler characteristic; one-parameter family of plane curves; perversity of the sheaf complex DOI: 10.1016/0019-3577(95)98203-N Special algebraic curves and curves of low genus, Rational and unirational varieties, Families, moduli of curves (algebraic), Topological properties in algebraic geometry Proof of a conjecture of W. Veys | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic fractional part of \(\eta\)-invariants; index theorem of subspaces; index \(\text{mod }n\); \(K\)-theory with coefficient in \(\mathbb{Z}_n\) Savin, A.; Schulze, B. -W.; Sternin, B.: Elliptic operators in subspaces and eta invariant. K-theory 26, No. 3, xx-xx (2002) Eta-invariants, Chern-Simons invariants, Algebraic groups The \(\eta\) invariant and elliptic operators in subspaces | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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 conjecture; infinitesimal variation of; polarized Hodge structure; determinantal variety; Torelli theorem; normal function of a primitive algebraic cycle Bernšteĭn, I.N., Gel'fand, I.M., Gel'fand, S.I.: Schubert cells, and the cohomology of the spaces \(G/P\). Uspehi Mat. Nauk \textbf{28}(3(171)), 3-26 (1973) Transcendental methods, Hodge theory (algebro-geometric aspects), Determinantal varieties Infinitesimal variations of Hodge structure. III: Determinantal varieties and the infinitesimal invariant of normal functions | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Galois representation; maximal unramified Galois extension; function field of algebraic variety; algebraically closed field; positive characteristic; valuation rings; completions Separable extensions, Galois theory, Representation theory for linear algebraic groups, Linear algebraic groups over arbitrary fields, General valuation theory for fields, Arithmetic ground fields for surfaces or higher-dimensional varieties On representations of the maximal unramified Galois extension of a field of positive characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic algebraic curves over finite prime fields; points of algebraic varieties over finite prime fields; existence of rational points; distribution of arithmetic sequences; distribution of angles of Kloosterman sums; verification of distribution functions; density functions of distributions Curves over finite and local fields, Finite ground fields in algebraic geometry, Arithmetic ground fields for curves, Varieties over finite and local fields, Rational points, Computational aspects of algebraic curves Computational experiments in arithmetic geometry over finite fields and their computer support | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic higher algebraic K-theory; localization sequence; localization theorem for the K-theory of schemes; perfect complex; quasi-isomorphisms; projective space bundle theorem; Bass fundamental theorem; Mayer- Viëtoris theorem Thomason, R.W., Trobaugh, T: Higher algebraic \textit{K}-theory of schemes and of derived categories. In: The Grothendieck Festschrift, vol. III. Progress in Mathematics, vol. 88, pp. 247-435. Birkhäuser, Boston (1990) Applications of methods of algebraic \(K\)-theory in algebraic geometry, \(K\)-theory of schemes Higher algebraic K-theory of schemes and of derived categories. Appendix A: Exact categories and the Gabriel-Quillen embedding. Appendix B: Modules versus quasi-coherent modules. Appendix C: Absolute noetherian approximation. Appendix D: Hypercohomology with supports. Appendix E: The Nisnevich topology. Appendix F: Invariance under change of universe. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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 curves; algebraic function fields; positive characteristic; automorphism groups Automorphisms of curves, Algebraic functions and function fields in algebraic geometry Ordinary algebraic curves with many automorphisms in positive characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Cayley-Bacharach theorem; complete intersections; Hilbert function of graded Gorenstein algebras Davis, Gorenstein algebras and the Cayley-Bacharach theorem, Proc. Amer. Math. Soc. 93 pp 593-- (1985) Complete intersections, Projective techniques in algebraic geometry, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Homological methods in commutative ring theory Gorenstein algebras and the Cayley-Bacharach theorem | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic monomialization; field extension of two-dimensional function fields Cutkosky, S.D., Piltant, O.: Monomial resolutions of morphisms of algebraic surfaces. Special issue in honor of Robin Hartshorne. Commun. Algebra 28, 5935--5959 (2000) Rational and birational maps, Separable extensions, Galois theory, Algebraic functions and function fields in algebraic geometry Monomial resolutions of morphisms of algebraic surfaces | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic arithmetic of curves; Diophantine problems; Faltings' theorem; Shafarevich's conjecture; Mordell's conjecture; height Grothendieck, A.: Techniques de construction et théorèmes d'existence en géométrie algébrique. IV (FGA). Les schémas de Hilbert. In: Séminaire Bourbaki, vol. 6, pages Exp. No. 221, 249-276. Soc. Math. France, Paris (1995) Arithmetic ground fields for curves, Arithmetic ground fields for abelian varieties, Development of contemporary mathematics, Elliptic curves, Diophantine equations Arithmetic on 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 degeneration theorem for K 3-surfaces; characteristic p Special surfaces, Compact complex surfaces, Formal methods and deformations in algebraic geometry On the degeneration of surfaces of type K 3 | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic numerical invariants of singularities; characteristic \(p\); singularities of curves; resolution; Bertini's theorem; pencil; Euler characteristic; wild ramification Melle-Hernández, A., Wall, C.T.C.: Pencils of curves on smooth surfaces. Proc. Lond. Math. Soc. 83(2), 257-278 (2001) Singularities of curves, local rings, Ramification problems in algebraic geometry, Étale and other Grothendieck topologies and (co)homologies, Global theory and resolution of singularities (algebro-geometric aspects) Pencils of curves on smooth 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 reciprocity law for quadratic forms over function field; extension property of a quadratic form on a curve; hyperelliptic curves Parimala R and Scharlau W, The canonical class of a curve and the extension property for quadratic forms,Contemp. Math. 155 (1993) Divisors, linear systems, invertible sheaves, Algebraic theory of quadratic forms; Witt groups and rings, Algebraic functions and function fields in algebraic geometry, Quadratic spaces; Clifford algebras, Elliptic curves, Theta functions and abelian varieties On the canonical class of a curve and the extension property for quadratic forms | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Bezout's theorem for the intersection of two projective algebraic; varieties; complete intersection; intersection numbers; g-multiplicity system; improper intersections; Bezout's theorem for the intersection of two projective algebraic varieties D. Kirby, ''On Bezout's theorem,''Quart. J. Math.,39, No. 156, 468--481 (1988). Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Multiplicity theory and related topics On Bézout's theorem | 0 |
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