text stringlengths 209 2.82k | label int64 0 1 |
|---|---|
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic weak approximation; global function fields; local-global criteria Rational points, Arithmetic theory of algebraic function fields Weak approximation for points with coordinates in rank-one subgroups of global 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 Enriques surfaces in positive characteristic; characteristic 2; rank of the Néron-Severi group is 10; quasi-elliptic pencil Lang, On Enriques surfaces in characteristic p, Math Ann pp 265-- (1983) Families, moduli, classification: algebraic theory, Finite ground fields in algebraic geometry, Special surfaces On Enriques surfaces in characteristic \(p\). 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 Chevalley-Weil theorem; étale cover; specializations; class groups of number fields; Hilbert's irreducibility theorem Class numbers, class groups, discriminants, Coverings of curves, fundamental group, Rational points Chevalley-Weil theorem and subgroups of class groups | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(abc\) conjecture; diophantine conjecture for algebraic points of bounded degree Vojta, Paul, A more general \(abc\) conjecture, Internat. Math. Res. Notices, 21, 1103-1116, (1998) Diophantine equations, Arithmetic algebraic geometry (Diophantine geometry), Linear Diophantine equations, Arithmetic problems in algebraic geometry; Diophantine geometry A more general \(abc\) conjecture | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic abstract elliptic function fields; divisor class group of finite order Hasse, H., Zur theorie der abstrakten elliptischen funktionenkörper. I. die struktur der gruppe der divisorenklassen endlicher ordnung, J. Reine Angew. Math., 1936, 175, 55-62, (1936) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry Zur Theorie der abstrakten elliptischen Funktionenkörper. I: Die Struktur der Gruppe der Divisorenklassen endlicher Ordnung | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic real places; real spectrum of coordinate ring; Harrison topology; real holomorphy ring; Kadison-Dubois theorem; strongly anisotropic forms; semiordering of level n; Krull valuations; Witt ring; formally real fields; orderings; Witt class of quadratic forms; signature Becker, E.: Valuations and real places in the theory of formally real fields, in [10] Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Forms over real fields, Algebraic theory of quadratic forms; Witt groups and rings, Valued fields, Real algebraic sets Valuations and real places in the theory of formally real 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 Kobayashi conjecture for surfaces in projective three-space; Kobayashi hyperbolic surfaces; meromorphic vector fields on projective manifolds Păun, Mihai, Vector fields on the total space of hypersurfaces in the projective space and hyperbolicity, Math. Ann., 340, 4, 875-892, (2008) Hyperbolic and Kobayashi hyperbolic manifolds, Hypersurfaces and algebraic geometry Vector fields on the total space of hypersurfaces in the projective space and hyperbolicity | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Kodaira vanishing theorem; homogeneous space; prime characteristic Lauritzen N., Rao A.: Elementary counterexamples to Kodaira vanishing in prime characteristic. Proc. Indian Acad. Sci. Math. Sci. 107, 21--25 (1997) Vanishing theorems in algebraic geometry, Homogeneous spaces and generalizations, Finite ground fields in algebraic geometry Elementary counterexamples to Kodaira vanishing in prime characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Lines of curvatures; surfaces of the \(2^nd\) order; section; infinitely remote; imaginary circle; main plane; axes; Monge's theorem; tangent; generatrices Surfaces in Euclidean and related spaces, Special algebraic curves and curves of low genus, Complex multiplication and moduli of abelian varieties, Euclidean analytic geometry, Polar geometry, symplectic spaces, orthogonal spaces, Projective analytic geometry, Rational and ruled surfaces On the curvature lines of the second order 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 supersingular curves; irreducible polynomials; prescribed coefficients; binary fields; characteristic polynomial of Frobenius Ahmadi, Omran; Göloğlu, Faruk; Granger, Robert; McGuire, Gary; Yilmaz, Emrah Sercan, Fibre products of supersingular curves and the enumeration of irreducible polynomials with prescribed coefficients, Finite Fields Appl., 42, 128-164, (2016) Arithmetic ground fields for curves Fibre products of supersingular curves and the enumeration of irreducible polynomials with prescribed coefficients | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic curve in affine 5-space; semigroup associated to monomial curve; minimal set of generators for the ideal of a monomial curve Campillo, A. and Pisón, P.: Generators of a monomial curve and graphs for the associated semigroup. Bull. Soc. Math. Belg. Sér. A 45 (1993), no. 1-2, 45-58. Plane and space curves, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Polynomial rings and ideals; rings of integer-valued polynomials Generators of a monomial curve and graphs for the associated semigroup | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic configuration of branches of an algebraic curve; Harnack theorem; number of limit cycles for a polynomial planar system; Hilbert's 16th problem Enumerative problems (combinatorial problems) in algebraic geometry, Special algebraic curves and curves of low genus, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations Hilbert's sixteenth problem and its generalization | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Poincaré series for the ring of invariants; Riemann-Roch theorem Amnon Neeman, The connection between a conjecture of Carlisle and Kropholler, now a theorem of Benson and Crawley-Boevey, and Grothendieck's Riemann-Roch and duality theorems, Comment. Math. Helv. 70 (1995), no. 3, 339 -- 349. Actions of groups on commutative rings; invariant theory, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Riemann-Roch theorems The connection between a conjecture of Carlisle and Kropholler, now a theorem of Benson and Crawley-Boevey, and Grothendieck's Riemann-Roch and duality theorems | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic genus; rational places; existence of algebraic function fields; Abelian extensions; different [F-P-S] G. Frey, M. Perret and H. Stichtenoth,On the different of Abelian extensions of global fields, inCoding Theory and Algebraic Geometry (H. Stichtenoth and M. Tsfasman, eds.), Proceedings AGCT3, Luminy June 1991, Lecture Notes in Mathematics1518, Springer, Heidelberg, 1992, pp. 26--32. Arithmetic theory of algebraic function fields, Class field theory, Other abelian and metabelian extensions, Algebraic functions and function fields in algebraic geometry On the different of Abelian extensions of 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 algebraic curves; geometric Goppa codes; algebraic function fields; Skorobogatov-Vladut decoding algorithm; Riemann-Roch theorem; asymptotic Gilbert bound Pretzel O.: Codes and Algebraic Curves. Oxford Lecture Series in Mathematics and Its Applications, vol. 8. The Clarendon Press/Oxford University Press, New York (1998). Combinatorial codes, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to information and communication theory, Curves over finite and local fields, Arithmetic ground fields for curves, Valuation rings, Field extensions, Algebraic coding theory; cryptography (number-theoretic aspects) Codes and algebraic curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic problems of effectivity; Linnik theorem; Mordell conjecture; density theorem for representations of relative Weil groups; Hecke density theorem; Shafarevich-Tate conjectures; generation of Galois groups by Frobenius elements; distribution of Frobenius conjugacy classes; uniform distribution of Grössencharakters; Chebotarev density theorem; automorphic representations of GL(n); strong multiplicity one theorem; compatible systems of \(\ell\)-adic representations; ramification Density theorems, Arithmetic ground fields for abelian varieties, Representation-theoretic methods; automorphic representations over local and global fields, Primes in congruence classes, Algebraic moduli of abelian varieties, classification, Arithmetic problems in algebraic geometry; Diophantine geometry, Higher degree equations; Fermat's equation, Theta series; Weil representation; theta correspondences, Langlands-Weil conjectures, nonabelian class field theory, Representations of Lie and linear algebraic groups over global fields and adèle rings, Representations of Lie and linear algebraic groups over local fields, Galois theory, Research exposition (monographs, survey articles) pertaining to field theory, Ramification and extension theory Some problems of effectivity in arithmetic, geometry and analysis | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Bertini theorem; Betti numbers; finiteness of Monsky-Washnitzer cohomology; \(p\)-adic differential equations; characteristic \(p\); \(p\)-adic Gysin exact sequence Mebkhout, Z., Sur le théorème de finitude de la cohomologie \textit{p}-adique d\(###\)une variété affine non singulière, Amer. J. Math., 119, 1027-1081, (1997) \(p\)-adic cohomology, crystalline cohomology, Vanishing theorems in algebraic geometry, \(p\)-adic differential equations On the finiteness theorem of the \(p\)-adic cohomology of a non-singular affine variety | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Analytic varieties; Proceedings; Symposium; Kyoto; RIMS; pseudoconvex domain; analytic varieties; Moduli spaces; compact Kähler manifolds; automorphism groups of certain compact Riemann surfaces; Logarithmic vector fields; Coxeter equality; Analytic K-theory; meromorphic maps into \(P^ N({\mathbb{C}})\); H. Cartan's theorems; Riemann- Hilbert problems; duality theorem; pseudoconvex region; rational homotopy type of open varieties; de Rham homotopy; combinatorial space forms Proceedings, conferences, collections, etc. pertaining to several complex variables and analytic spaces, Proceedings, conferences, collections, etc. pertaining to algebraic topology, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Proceedings of conferences of miscellaneous specific interest, Duality theorems for analytic spaces, Complex-analytic moduli problems, Holomorphic mappings and correspondences, Compact complex surfaces, Complex Lie groups, group actions on complex spaces, Compact Riemann surfaces and uniformization Various problems on analytic varieties. Proceedings of a Symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, February 4-7, 1980 | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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 rational points; varieties over function fields; cardinaltiy of the set of fibrations; uniform boundedness of rational points; distribution of rational points Enumerative problems (combinatorial problems) in algebraic geometry, Algebraic functions and function fields in algebraic geometry, Families, moduli of curves (algebraic), Rational points Remarks about uniform boundedness of rational points 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 variety of general type; smooth complex projective variety; large fundamental group; Shafarevich variety; Shafarevich map; resolution of singularities; nonvanishing theorem; plurigenera; 3-folds of general type Kollár, J., Shafarevich maps and plurigenera of algebraic varieties, Invent. Math., 113, 176-215, (1993) Rational and birational maps, Coverings in algebraic geometry, Homotopy theory and fundamental groups in algebraic geometry, \(n\)-folds (\(n>4\)) Shafarevich maps and plurigenera of algebraic varieties | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic anticanonical rational surfaces; minimal models of smooth rational surfaces; Hodge index theorem; points in general position; Néron-Severi group; blowing-up Lahyane, M.: Exceptional curves on smooth rational surfaces with \(-\)\ \textit{K} not nef and of self-intersection zero. Proc. Am. Math. Soc. 133, 1593-1599 (2005) Rational and ruled surfaces, Rational and birational maps, Divisors, linear systems, invertible sheaves Exceptional curves on smooth rational surfaces with \(-K\) not nef and of self-intersection zero | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic factorization theorem for a power series; Apery basis of the value semigroup Singularities of curves, local rings, Power series, series of functions of several complex variables, Singularities in algebraic geometry, Real and complex fields Plane analytic curves with contact in the Apéry basis | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic upper bounds for number of variables; existence of m-dimensional linear variety; common zero set; Brauer induction; forms in many variables; cubic forms; common p-adic solutions Lewis, DJ; Schulze-Pillot, R, Linear spaces on the intersection of cubic hypersurfaces, Monatsh. Math., 97, 277-285, (1984) Forms of degree higher than two, \(p\)-adic theory, Cubic and quartic Diophantine equations, Arithmetic ground fields for surfaces or higher-dimensional varieties Linear spaces on the intersection of cubic 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 second crystalline cohomology group; Torelli theorem; characteristic p; supersingular K3 surface A. Ogus, A crystalline torelli theorem for supersingular K3 surfaces, \(Arithmetic and Geometry\), vol. 36, Progress in Mathematics (Birkhäuser, Basel, 1983) \(p\)-adic cohomology, crystalline cohomology, Special surfaces, Transcendental methods, Hodge theory (algebro-geometric aspects) A crystalline Torelli theorem for supersingular K3 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 Bogomolov conjecture over function fields; discrete embedding of curve; Néron-Tate height pairing; admissible pairing; Green function; semistable arithmetic surface A. Moriwaki, Bogomolov conjecture over function fields for stable curves with only irreducible fibers, Compos. Math. 105 (1997), 125-140. Algebraic functions and function fields in algebraic geometry, Arithmetic varieties and schemes; Arakelov theory; heights, Picard groups Bogomolov conjecture over function fields for stable curves with only irreducible fibers | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic distribution of ideal class groups of imaginary quadratic fields; distribution of class groups of hyperelliptic function fields; \(\ell\)-adic Tate module; equidistribution conjecture; Cohen-Lenstra principle Friedman, Eduardo; Washington, Lawrence C., On the distribution of divisor class groups of curves over a finite field.Théorie des nombres, Quebec, PQ, 1987, 227\textendash 239 pp., (1989), de Gruyter, Berlin Arithmetic theory of algebraic function fields, Class numbers, class groups, discriminants, Algebraic functions and function fields in algebraic geometry On the distribution of divisor class groups of curves over a finite field | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic finite subgroups of rotation group; groups; linear algebra; infinite dimensional spaces; systems of linear differential equations; symmetry; free groups; generators; relations; Todd-Coxeter algorithm; bilinear forms; spectral theorems; linear groups; group representations; rings; algebraic geometry; factorization; modules; function fields and their relations to Riemann surfaces; Galois theory Artin, M.: Algebra. Prentice-Hall, Englewood Cliffs (1991) Mathematics in general, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mathematics in general, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to group theory, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to linear algebra, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to field theory Algebra | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic arrangement of hyperplanes in \(\mathbb{C}^ d\); cohomology of a perverse sheaf; differential complex; weakly self-indexing Morse function; complex of sheaves of intersection cochains; general position arrangements Cohen, D.: Cohomology and intersection cohomology of complex hyperplane arrangements. Adv. in math. 97, 231-266 (1993) Algebraic topology on manifolds and differential topology, Intersection homology and cohomology in algebraic topology, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) Cohomology and intersection cohomology of complex hyperplane arrangements | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic function fields; plane cubics of genus one; exceptional points Nagell, T. Les points exceptionnels sur les cubiques planes du premier genre II, Nova Acta Reg. Soc. Sci. Ups., Ser. IV, vol 14, n:o 3, Uppsala 1947. Algebraic functions and function fields in algebraic geometry, Riemann surfaces; Weierstrass points; gap sequences Les points exceptionnels sur les cubiques planes du premier genre. 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 homology; cohomology; smooth hypersurfaces in multiple-projective spaces; Lefschetz theorem; Euler characteristic; Chern classes Topological properties in algebraic geometry, Special surfaces, Characteristic classes and numbers in differential topology Homology and Chern classes of smooth hypersurfaces in multi-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 effective Matsusaka's theorem; surfaces in positive characteristic; Fujita's conjectures; Bogomolov's stability; Reider's theorem; bend-and-break; effective Kawamata-Viehweg vanisihng Di Cerbo, Gabriele; Fanelli, Andrea, Effective Matsusaka's theorem for surfaces in characteristic \(p\), Algebra Number Theory, 9, 6, 1453-1475, (2015) Special surfaces Effective Matsusaka's theorem for surfaces in characteristic \(p\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic cyclotomic function fields; arithmetic of Witt vectors; Artin-Schreier extensions; maximal abelian extension; ramification theory Cyclotomic function fields (class groups, Bernoulli objects, etc.), Cyclotomic extensions, Class field theory, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry Analog of the Kronecker-Weber theorem in positive characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic eta invariants; signature defects of cusps; special values of L- functions; cusp on Hilbert modular variety; lattice in totally real field; Hirzebruch L-polynomial; Hirzebruch signature theorem; flat connection; Feynman-Kac representation of the heat kernel Atiyah, MF; Donnelly, H; Singer, IM, Eta invariants, signature defects of cusps, and values of \(L\)-functions, Ann. Math., 118, 131-177, (1983) Heat and other parabolic equation methods for PDEs on manifolds, Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Special surfaces, Singularities of surfaces or higher-dimensional varieties, Singularities in algebraic geometry, Global ground fields in algebraic geometry, Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols, Characteristic classes and numbers in differential topology, Quaternion and other division algebras: arithmetic, zeta functions, Totally real fields, Connections (general theory) Eta invariants, signature defects of cusps, and values of L-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 Hilbert function of a Cohen-Macaulay homogeneous domain; positive characteristic; Hilbert function of a general hyperplane section; strange curve; trisecant lemma E. Ballico and K. Yanagawa, On the \?-vector of a Cohen-Macaulay domain in positive characteristic, Comm. Algebra 26 (1998), no. 6, 1745 -- 1756. Plane and space curves, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Projective techniques in algebraic geometry, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Finite ground fields in algebraic geometry On the \(h\)-vector of a Cohen-Macaulay domain 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 vanishing theorem for varieties of small codimension A. Alzati andG. Ottaviani, Small codimension subvarieties of ? n . Boll. Um. Mat. Ital. (7)2-A, 81-89 (1988). Low codimension problems in algebraic geometry, Projective techniques in algebraic geometry, Étale and other Grothendieck topologies and (co)homologies Small codimension subvarieties of \({\mathbb{P}}^ n\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic towers of function fields; genus; number of places [HST]F. Hess, H. Stichtenoth and S. Tutdere, On invariants of towers of function fields over finite fields, J. Algebra Appl. 12 (2013), no. 4, #1250190. Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry On invariants of towers of function fields over finite fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic number of points on Fermat curves over finite fields; intersection multiplicity; Bézout's theorem; Frobenius degeneration; intersection multiplicities Hefez, A.; Kakuta, N.: New bounds for Fermat curves over finite fields. Contemp. math. 123, 89-97 (1991) Arithmetic ground fields for curves, Finite ground fields in algebraic geometry, Enumerative problems (combinatorial problems) in algebraic geometry, Curves over finite and local fields New bounds for Fermat curves over finite fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic function fields; integral moments of \(L\)-functions; quadratic Dirichlet \(L\)-functions; ratios conjecture Zeta and \(L\)-functions in characteristic \(p\), \(\zeta (s)\) and \(L(s, \chi)\), Curves over finite and local fields, Relations with random matrices, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) The integral moments and ratios of quadratic Dirichlet \(L\)-functions over monic irreducible polynomials in \(\mathbb{F}_q [T]\) | 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 vanishing theorem; local cohomology module; regular local ring; bight; heights of minimal prime ideals C. Huneke and J. Koh, \(Cofiniteness and vanishing of local cohomology modules\), Mathematical Proceedings of the Cambridge Philosophical Society, 110 No. 3 (1991), 421-429. Local cohomology and commutative rings, Local cohomology and algebraic geometry Cofiniteness and vanishing of local cohomology modules | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic valued function fields; genus change; algebraic function field; reduction of constants; rigid analytic geometry; non-discrete valuation; defect; ramification index Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Non-Archimedean valued fields, Arithmetic ground fields for surfaces or higher-dimensional varieties Genre des corps de fonctions valués après Deuring, Lamprecht et Mathieu. (Genus of valued function fields after Deuring, Lamprecht and Mathieu) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Schur function; vanishing theorem; tensor powers of an ample vector bundle Laytimi F., Nahm W.: On a vanishing problem of Demailly. Int. Math. Res. Not. 47, 2877--2889 (2005) Vanishing theorems, Vanishing theorems in algebraic geometry On a vanishing problem of Demailly | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic adelic Arakelov geometry; green functions; Berkovich space; Hodge index theorem; Zariski decomposition; Fujita's approximation; numerical criterion of neffness A. Moriwaki, Adelic divisors on arithmetic varieties, Mem. Amer. Math. Soc. 242, no. 1144, American Mathematical Society, Providence, R.I., 2016 Arithmetic varieties and schemes; Arakelov theory; heights, Heights Adelic divisors on arithmetic varieties | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic number of mappings of algebraic curves; theorem of De Franchis; Mordell's conjecture over functions fields Algebraic functions and function fields in algebraic geometry, Rational and birational maps, Picard-type theorems and generalizations for several complex variables, Enumerative problems (combinatorial problems) in algebraic geometry, Global ground fields in algebraic geometry A higher dimensional analogue of Mordell's conjecture over function fields and related problems | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic places separably generated in algebraic function fields Arithmetic theory of algebraic function fields, Separable extensions, Galois theory, Algebraic functions and function fields in algebraic geometry Singular places 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 geometric invariant theory; homogeneous spaces; equidistribution; Ratner's theorem; Dirichlet's theorem; Diophantine approximation Discrete subgroups of Lie groups, Geometric invariant theory, Metric theory Equidistribution of expanding translates of curves and Diophantine approximation on matrices | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Rees algebra of a module; associated points; integral closure of modules; Bertini's theorem for extreme morphisms Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Integral dependence in commutative rings; going up, going down, Integral closure of commutative rings and ideals, Schemes and morphisms Associated points and integral closure of modules | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Fermat last theorem; ABC-conjecture; conjecture of Shimura-Taniyama Special algebraic curves and curves of low genus, Cubic and quartic Diophantine equations, Elliptic curves, Global ground fields in algebraic geometry, Higher degree equations; Fermat's equation 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 abelian varieties over finite fields; Deligne modules; ordinary abelian variety; isogeny class; characteristic polynomial of Frobenius [12]E. W. Howe, Principally polarized ordinary abelian varieties over finite fields, Trans. Amer. Math. Soc. 347 (1995), 2361--2401. Isogeny, Finite ground fields in algebraic geometry, Abelian varieties of dimension \(> 1\), Varieties over finite and local fields, Arithmetic ground fields for abelian varieties Principally polarized ordinary abelian 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 Hilbert irreducibility theorem; arithmetic unit disc; inverse problem of Galois theory; Galois covers of arithmetic surfaces; arithmetic convergent power series; Artin's approximation; henselization Harbater, D.: Galois covers of an arithmetic surface. Amer. J. Math. 110, 849-885 (1988) Coverings in algebraic geometry, Special surfaces, Galois theory and commutative ring extensions, Representations of groups as automorphism groups of algebraic systems, Finite automorphism groups of algebraic, geometric, or combinatorial structures Galois covers of an arithmetic surface | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic transformations in classical geometries; dynamical types; centralizer-conjugacy classes; automorphism groups of geometries; fibration theorem; orbit class; group actions Craven D~A, The theory of \(p\)-groups, http://web.mat.bham.ac.uk/D.A.Craven/pgroups.html (2008) Groups as automorphisms of other structures, General groups of measure-preserving transformations and dynamical systems, Classical groups (algebro-geometric aspects), Geometry of classical groups, Hyperbolic and elliptic geometries (general) and generalizations, Euclidean geometries (general) and generalizations, Linear algebraic groups over arbitrary fields Dynamical types and conjugacy classes of centralizers in groups. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic algebraic independence; Lindemann-Weierstrass theorem; effective result; abelian variety; Weierstrass elliptic function; complex multiplication; transcendence measure E. M. Jabbouri, ''Mesures d'independance algébrique de valeurs de fonctions elliptiques et abéliennes,'' C. R. Acad. Sci. Paris. Sér. 1., 303, No. 9, 375--378 (1986). Algebraic independence; Gel'fond's method, Transcendence (general theory), Transcendence theory of elliptic and abelian functions, Results involving abelian varieties, Complex multiplication and abelian varieties Measures for algebraic independence of values of elliptic and abelian 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 elliptic surfaces; elliptic curves over function fields; generators of Mordell-Weil group; Kodaira-Néron model; number of minimal sections; specialization homomorphisms Arithmetic varieties and schemes; Arakelov theory; heights, Rational points, Elliptic curves, Elliptic curves over global fields, Finite ground fields in algebraic geometry, Elliptic surfaces, elliptic or Calabi-Yau fibrations Mordell-Weil lattices and Galois representation. 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 effective lower bounds; linear forms in logarithms of algebraic numbers; analytic subgroup theorem; algebraic groups; isogenies of abelian varieties; Tate's conjecture; semisimplicity of the Tate module; Arakelov theory Linear forms in logarithms; Baker's method, Abelian varieties of dimension \(> 1\), Isogeny From Baker to Mordell | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic points of bounded height; Diophantine approximation; del Pezzo surfaces Counting solutions of Diophantine equations, Diophantine equations in many variables, Applications of the Hardy-Littlewood method, Rational points, Rational and ruled surfaces Local distribution of rational points of bounded height on a del Pezzo surface of degree 6 | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Schmidt's subspace theorem; Roth's theorem; Diophantine approximation; Vojta's conjecture Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.), Schmidt Subspace Theorem and applications, Rational points A subspace theorem for subvarieties | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic symbolic power; projective dimension; depth; asymptotic behavior; monomial ideal; integrally closed ideal; degree complex; local cohomology; Bertini-type theorem; system of linear Diophantine inequalities Dimension theory, depth, related commutative rings (catenary, etc.), Singularities in algebraic geometry Depth functions of symbolic powers of homogeneous ideals | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic classification up to isomorphism; elementary equivalence; function fields over algebraically closed fields; function fields of curves; elliptic curves D. Pierce , Function fields and elementary equivalence . Bull. London Math. Soc. 31 ( 1999 ), 431 - 440 . MR 1687564 | Zbl 0959.03022 Model-theoretic algebra, Algebraic functions and function fields in algebraic geometry, Elliptic curves, Model theory (number-theoretic aspects), Properties of classes of models Function fields and elementary equivalence | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic global function fields; genus; geometry of numbers D. Kettlestrings and J.L. Thunder, The number of function fields with given genus, Contem. Math. 587 (2013), 141--149. Arithmetic theory of algebraic function fields, Global ground fields in algebraic geometry The number of function fields with given genus | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic exterior differential systems; variation of Hodge structure; Noether-Lefschetz locus; period domain; integral manifold; Hodge conjecture; Pfaffian system; Chern classes; characteristic cohomology; Cartan-Kähler theorem Carlson, J., Green, M., Griffiths, P.: Variations of Hodge structure considered as an exterior differential system: old and new results. SIGMA Symmetry Integrability Geom. Methods Appl. \textbf{5}, Paper 087,40 (2009) Research exposition (monographs, survey articles) pertaining to algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects) Variations of Hodge structure considered as an exterior differential system: old and new results | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic function fields; transcendental extensions; Lüroth theorem; orderable subfield Recio, T., Sendra, J.R.: A really elementary proof of real Lüroth's theorem. Rev. Mat. Univ. Complut. Madrid, \textbf{10}(Special Issue, suppl.), 283-290 (1997) Transcendental field extensions, Real and complex fields, Algebraic functions and function fields in algebraic geometry, Real algebraic sets A really elementary proof of real Lüroth's theorem | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic geometric heights; section of surjective morphisms; Mordell conjecture over function fields Esnault, Hélène; Viehweg, Eckart, Effective bounds for semipositive sheaves and for the height of points on curves over complex function fields, Compos. Math., 0010-437X, 76, 1-2, 69\textendash 85 pp., (1990) Arithmetic varieties and schemes; Arakelov theory; heights, Arithmetic ground fields for surfaces or higher-dimensional varieties Effective bounds for semipositive sheaves and for the height of points on curves over complex 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 factoring integers; cryptography; elliptic curve computations over fields of characteristic two; ElGamal cryptosystem A.J. Menezes, S. Vanstone, The implementation of elliptic curve cryptosystems, in: Advances in cryptology --- AUSCRYPT '90, Lecture Notes in Computer Science, vol. 453, Springer, Berlin, 1990, pp. 2 -- 13. Cryptography, Elliptic curves The implementation of elliptic curve cryptosystems | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic k-positive line bundle; cohomology vanishing theorems for holomorphic vector bundles on; complex manifolds; compact Kaehler manifolds; imbedding theorem of Kodaira; Hodge theory of harmonic forms; Kodaira vanishing theorem; Nakano vanishing theorem; k-negative line bundles; first Lefschetz theorem; complex projective space; vanishing theorem of Le Potier on Grassmann manifolds; vanishing theorems for vector bundles; Griffiths; Ramanujam; Kawamata; Viehweg; Mumford; Grauert- Riemenschneider; cohomology vanishing theorems for holomorphic vector bundles on complex manifolds Shiffman, Bernard; Sommese, Andrew John, Vanishing theorems on complex manifolds, Progress in Mathematics 56, xiii+170 pp., (1985), Birkhäuser Boston, Inc., Boston, MA Vanishing theorems, Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces, Complex manifolds, Sheaves and cohomology of sections of holomorphic vector bundles, general results, Transcendental methods of algebraic geometry (complex-analytic aspects), Transcendental methods, Hodge theory (algebro-geometric aspects), Global differential geometry of Hermitian and Kählerian manifolds Vanishing theorems on complex manifolds | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic global generalization of Honda's result; formal groups; Gauss sums; integral representations; characters of odd prime conductor Childress, N.; Stopple, J.: Formal groups and Dirichlet L-functions, II. J. number theory 41, 295-302 (1992) Integral representations related to algebraic numbers; Galois module structure of rings of integers, \(\zeta (s)\) and \(L(s, \chi)\), Gauss and Kloosterman sums; generalizations, Formal groups, \(p\)-divisible groups, Class field theory; \(p\)-adic formal groups Formal groups and Dirichlet \(L\)-functions. 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 Kronecker's Jugendtraum; elliptic functions; elliptic integrals; arithmetic of elliptic curves; Weierstrass \(\wp\)-function; projective plane cubics; Abel's theorem; inversion problem; Jacobi functions; theta functions; Lefschetz theorem; embeddings; theta identities; Euler identities; Jacobi substitutions; quadratic reciprocity; Siegel modular group; modular forms; Eisenstein series; modular equation; arithmetic subgroups; arithmetic applications; solvability of algebraic equations; Galois theory; Klein's icosaeder; quintic equation; imaginary quadratic number fields; class invariants; class polynomial; Mordell-Weil theorem Henry McKean and Victor Moll, \textit{Elliptic Curves}, Cambridge University Press, Cambridge, 1997. Research exposition (monographs, survey articles) pertaining to number theory, Elliptic curves over global fields, Elliptic curves, Elliptic functions and integrals, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Quadratic extensions, Class numbers, class groups, discriminants, Equations in general fields, Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms, Structure of modular groups and generalizations; arithmetic groups, Research exposition (monographs, survey articles) pertaining to algebraic geometry Elliptic curves. Function theory, geometry, arithmetic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic strong approximation; semisimple algebraic groups; function field of complex curve Linear algebraic groups over adèles and other rings and schemes, Elliptic curves over global fields, Other nonalgebraically closed ground fields in algebraic geometry, Linear algebraic groups over global fields and their integers, Group actions on varieties or schemes (quotients) Strong approximation for semi-simple homogenenous groups over the field of functions of a complex algebraic curve | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic nonsingular cubic in P4; weak Torelli theorem for Fano surfaces Tjurin, A.N. : On the Fano surface of a nonsingular cubic in P4 . Izv. Akad. Nauk. SSSR Ser. Mat. 34 (1970) 1200-1208= Math. USSR Izv. 4 (1970) 1207-1214. Fano varieties On the Fano surface of a nonsingular cubic in \(\mathbb P^4\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic AG codes; towers of function fields; generalized Hamming weights; order bounds; Arf semigroups; inductive semigroups Geometric methods (including applications of algebraic geometry) applied to coding theory, Applications to coding theory and cryptography of arithmetic geometry, Algebraic coding theory; cryptography (number-theoretic aspects), Calculation of integer sequences, Commutative semigroups On the second Feng-Rao distance of algebraic geometry codes related to Arf semigroups | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic multiplicative structure; skew fields over number fields; Hasse; norm principle; algebraic group; group of rational points; quadratic forms; Skolem-Noether theorem; algebra of quaternions; class field theory; direct subgroup; Spin(f); SL(1,D); trace Platonov V P and Rapinchuk A S, Proceedings of Steklov Institute of Math. 1985, Issue 3 Quaternion and other division algebras: arithmetic, zeta functions, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Linear algebraic groups over global fields and their integers, Class field theory, Algebras and orders, and their zeta functions, Rational points The multiplicative structure of division rings over number fields and the Hasse norm principle | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Nevanlinna theory; second main theorem; uniqueness theorem G. Dethloff and T. V. Tan, ''A uniqueness theorem for meromorphic maps with moving hypersurfaces,'' Publ. Math. Debrecen, 78, 347--357 (2011). Value distribution theory in higher dimensions, Meromorphic mappings in several complex variables, Picard-type theorems and generalizations for several complex variables, Hypersurfaces and algebraic geometry A uniqueness theorem for meromorphic maps with moving 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 duality theorem of Galois cohomology groups related to abelian varieties; higher dimensional local fields; Weil-Barsotti formula; higher Tate duality Yoshihiro Koya. On a duality theorem of abelian varieties over higher dimensional local fields. {\em Kodai Math. J.}, 2:297--308, 2000 Local ground fields in algebraic geometry, Arithmetic ground fields for abelian varieties, Abelian varieties of dimension \(> 1\), Class field theory; \(p\)-adic formal groups On a duality theorem for abelian varieties over higher dimensional local fields. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic group of automorphisms; function fields; affine curves Kontogeorgis, A.I.: The group of automorphisms of the function fields of the curve \(x^n + y^ m + 1 = 0\). J. Number Theory \textbf{72}, 110-136 (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Curves of arbitrary genus or genus \(\ne 1\) over global fields The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic transcendency; abelian variety of CM type; periods; values of the Siegel modular function at algebraic points; modular functions; Schneider's theorem; elliptic modular function Shiga, H.: On the transcendency of the values of the modular function at algebraic points. Soc. math. France astérisque 209, 293-305 (1992) Transcendence theory of other special functions, Complex multiplication and moduli of abelian varieties, Abelian varieties of dimension \(> 1\), Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms, Algebraic theory of abelian varieties On the transcendency of the values of the modular function at algebraic points | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Riemann-Roch theorem; function fields; Fourier transforms; adelic Poisson summation formula Li, X-J, A note on the Riemann-Roch theorem for function fields, No. 2, 567-570, (1996), Basel Arithmetic theory of algebraic function fields, Riemann-Roch theorems, Algebraic functions and function fields in algebraic geometry A note on the Riemann-Roch theorem for function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic algebraic curves; algebraic function fields; positive characteristic; automorphism groups Automorphisms of curves, Algebraic functions and function fields in algebraic geometry Curves with more than one inner Galois point | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic monodromy; hypersurface singularity; germ of a holomorphic function; zeta function; Euler characteristic; Milnor fiber; resolution of singularities Deligne, P.: Théorie de Hodge. III, Inst. Hautes Études Sci. Publ. Math., vol. 44, pp. 5-77 (1974) Complex surface and hypersurface singularities, Modifications; resolution of singularities (complex-analytic aspects), Singularities in algebraic geometry Partial resolutions and the zeta-function of a singularity | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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 bound; number of points; extension fields; exponential sums; function fields over finite fields Varieties over finite and local fields, Exponential sums, Other character sums and Gauss sums, Arithmetic ground fields for curves A comparision of the number of rational places of certain function fields to the Hasse-Weil bounds | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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 Large odd prime power order automorphism groups of algebraic curves in any characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Hasse principle; approximation theorems for homogeneous spaces; abelianization of Galois cohomology; affine algebraic groups; non-Abelian hypercohomology; Brauer-Grothendieck group Morishita, M.: Hasse principle and approximation theorems for homogeneous spaces. Algebraic number theory and related topics, Kyoto 1996 998, 102-116 (1997) Galois cohomology of linear algebraic groups, Rational points, Cohomology theory for linear algebraic groups, Research exposition (monographs, survey articles) pertaining to number theory, Galois cohomology Hasse principle and approximation theorems for homogeneous 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 Riemann surfaces; inhomogeneous Cauchy-Riemann equation with \(L^{2}\) estimates; holomorphic line bundle with positive curvature; subharmonic exhaustion function; divisor; uniformization theorem; biholomorphic classification of Riemann surfaces; Teichmüller theory T.~Napier, M.~Ramachandran: {\em An Introduction to Riemann Surfaces}, Springer (2011). DOI 10.1007/978-0-8176-4693-6; zbl 1237.30001; MR3014916 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functions of a complex variable, Compact Riemann surfaces and uniformization, Harmonic functions on Riemann surfaces, Differentials on Riemann surfaces, Conformal metrics (hyperbolic, Poincaré, distance functions), Teichmüller theory for Riemann surfaces, Riemann surfaces; Weierstrass points; gap sequences, Vector bundles on curves and their moduli, Relationships between algebraic curves and integrable systems An introduction to Riemann surfaces | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic value sets; finite fields; polynomials; towers of function fields Polynomials over finite fields, Algebraic functions and function fields in algebraic geometry A link between minimal value set polynomials and tamely ramified towers of function fields over finite fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic singular holomorphic foliations; oriented foliations; holomorphic vector fields; open manifolds; characteristic classes; Baum-Bott residues; locally free sheaves; tangent sheaf; normal sheaf; Euler class; Euler residues; complete intersections; isolated singularity; Hopf index; Milnor fibration; link of a singularity; Todd polynomial Singularities of holomorphic vector fields and foliations, Milnor fibration; relations with knot theory, Differential topological aspects of diffeomorphisms, Characteristic classes and numbers in differential topology, Foliations (differential geometric aspects), Bernoulli and Euler numbers and polynomials, Complete intersections Residues and topological invariants of singular holomorphic 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 Diophantine geometry; Diophantine approximation; Schmidt subspace theorem; Thue-Siegel-Roth; \(S\)-integral points; rational points; integral points on surfaces; Hilbert irreducibility theorem Corvaja, P.: Integral Points on Algebraic Varieties. An Introduction to Diophantine Geometry. Institute of Mathematical Sciences Lecture Notes, Hindustan Book Agency, New Delhi (2016) 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 asymptotic interpolation measure; Lebesgue constants; Fekete points; equilibrium distributions; algebraic curves of genus \(0\); multivariate polynomial interpolation; Auerbach's theorem; piecewise conies; rational mapping; constructing good points for interpolation [GMS] Götz, M., Maymeskul, V. V. \& Saff, E.B., Asymptotic distribution of nodes for near-optimal polynomial interpolation on certain curves in \$\$ \{\(\backslash\)mathbb\{R\}\^2\} \$\$ . Constr. Approx., 18 (2002), 255--283. Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), Proceedings, conferences, collections, etc. pertaining to functions of a complex variable, Varieties and morphisms, Multidimensional problems, Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions, Computational aspects of algebraic curves Asymptotic distribution of nodes for near-optimal polynomial interpolation on certain curves in \(\mathbb{R}^2\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic symbolic power; sum of ideals; associated prime; tensor product; binomial expansion; depth; Castelnuovo-Mumford regularity; tor-vanishing; depth function Dimension theory, depth, related commutative rings (catenary, etc.), Singularities in algebraic geometry, Homological functors on modules of commutative rings (Tor, Ext, etc.), Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) Symbolic powers of sums of ideals | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic real quadratic function fields; Ankeny-Artin-Chowla theorem; function fields; fundamental unit Yu, J.; Yu, J. -K.: A note on a geometric analogue of ankeny--Artin--chowla's conjecture. (1998) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry, Units and factorization A note on a geometric analogue of Ankeny-Artin-Chowla's 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 p-adic analog of the Weierstrass sigma function; complex elliptic curves; formal group; canonical heights; characteristic p; p-adic theta functions Fontaine, J.-M.: Le corps des périodes \(p\)-adiques. With an appendix by Pierre Colmez. Périodes \(p\)-adiques (Bures-sur-Yvette, 1988). Astérisque No. 223, pp. 59-111 (1994) Local ground fields in algebraic geometry, Arithmetic varieties and schemes; Arakelov theory; heights, Elliptic curves, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Theta functions and abelian varieties The \(p\)-adic sigma 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 genus-changing algebraic curves; finite number of rational points; characteristic \(p\); function field; non-conservative algebraic curve Jeong, S.: Rational points on algebraic curves that change genus. J. number theory 67, 170-181 (1998) Rational points, Algebraic functions and function fields in algebraic geometry, Special algebraic curves and curves of low genus Rational points on algebraic curves that change genus | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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 bound; maximal curve; geometric Goppa code; asymptotically good sequence; survey; number of rational points; curves over finite fields; towers of function fields van der Geer, G., Curves over finite fields and codes, (European congress of mathematics, vol. II, Barcelona, 2000, Prog. math., vol. 202, (2001), Birkhäuser Basel), 225-238 Curves over finite and local fields, Algebraic coding theory; cryptography (number-theoretic aspects), Geometric methods (including applications of algebraic geometry) applied to coding theory, Applications to coding theory and cryptography of arithmetic geometry, Research exposition (monographs, survey articles) pertaining to number theory Curves over finite fields and codes | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic minimal model program for 3-folds; extremal rays; Del Pezzo surfaces; Fano 3-folds; flops in dimension 4; table for the extremal rays for Fano 3-folds; Dynkin diagrams of the Weyl groups Matsuki K.: Weyl groups and birational transformations among minimal models. Mem. Amer. Math. Soc. 116, 1--133 (1995) Rational and birational maps, Minimal model program (Mori theory, extremal rays), \(3\)-folds, Fano varieties Weyl groups and birational transformations among minimal models | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Riemann hypothesis for a curve over a finite field; zeta function of a curve over a finite field; two-variable zeta function Zeta and \(L\)-functions in characteristic \(p\), Nonreal zeros of \(\zeta (s)\) and \(L(s, \chi)\); Riemann and other hypotheses, Curves over finite and local fields, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) The two-variable zeta function and the Riemann hypothesis for function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Siegel lemma; extrapolation; rank estimate; higher-dimensional Lehmer problem; power of the multiplicative group; lower bound; heights; successive minima for the height function Amoroso, F.; David, S., Le problème de Lehmer en dimension supérieure, J. Reine Angew. Math., 513, 145-179, (1999) Heights, Results involving abelian varieties, Arithmetic varieties and schemes; Arakelov theory; heights The higher-dimensional Lehmer 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 eta invariants; signature defects of cusps; special values of; L- functions; cusp on Hilbert modular variety; lattice in totally; real field; Hirzebruch L-polynomial; Hirzebruch; signature theorem; flat connection; Feynman-Kac; representation of the heat kernel M. F. Atiyah, H. Donnelly, and I. M. Singer, Eta invariants, signature defects of cusps, and values of \?-functions, Ann. of Math. (2) 118 (1983), no. 1, 131 -- 177. , https://doi.org/10.2307/2006957 M. F. Atiyah, H. Donnelly, and I. M. Singer, Signature defects of cusps and values of \?-functions: the nonsplit case. Addendum to: ''Eta invariants, signature defects of cusps, and values of \?-functions'', Ann. of Math. (2) 119 (1984), no. 3, 635 -- 637. Heat and other parabolic equation methods for PDEs on manifolds, Characteristic classes and numbers in differential topology, Connections (general theory), Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols, Quaternion and other division algebras: arithmetic, zeta functions, Totally real fields, Singularities in algebraic geometry, Global ground fields in algebraic geometry, Singularities of surfaces or higher-dimensional varieties, Special surfaces Signature defects of cusps and values of L-functions: The nonsplit case | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic sheaf-theoretic methods in noncommutative ring theory; noncommutative analogs; prime spectrum; structure sheaf; central extensions; radical functors; localization; hereditary torsion theories; symmetric radicals; second layer condition; FBN rings; strongly normalizing extensions; localizations at prime ideals; stable radicals; Artin-Rees property; localization functors; compatibility; Zariski topology; stable symmetric radicals; centralizing extension; strongly normalizing extension; ringed spaces Bueso, J. L., Jara, P., and Verschoren, A., Compatibility, stability and sheaves: un ménage à trois, monograph, to appear. Research exposition (monographs, survey articles) pertaining to associative rings and algebras, Torsion theories; radicals on module categories (associative algebraic aspects), Associative rings of functions, subdirect products, sheaves of rings, Localization and associative Noetherian rings, Noncommutative algebraic geometry, Noetherian rings and modules (associative rings and algebras), Module categories in associative algebras, General radicals and associative rings, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials Compatibility, stability, and sheaves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic resolutions of singularities; characteristic \(p\); compactification of symmetric spaces; moduli space; rational singularities; moduli-stacks for bundles on semistable curves Faltings, G.: Explicit resolution of local singularities of moduli-spaces. J. reine angew. Math. 483, 183-196 (1997) Global theory and resolution of singularities (algebro-geometric aspects), Algebraic moduli problems, moduli of vector bundles, Singularities of curves, local rings Explicit resolution of local singularities of moduli-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 general points in projective 3-space; Hilbert function of minimal number of generators Edoardo Ballico, Generators for the homogeneous ideal of \? general points in \?\(_{3}\), J. Algebra 106 (1987), no. 1, 46 -- 52. Projective techniques in algebraic geometry, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Enumerative problems (combinatorial problems) in algebraic geometry Generators for the homogeneous ideal of s general points in \({\mathbb{P}}_ 3\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic fibration; domination of surface by affine space; embedding in a polynomial ring; singular fibre of the second kind; embedding problem Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Extension theory of commutative rings, Polynomial rings and ideals; rings of integer-valued polynomials, Local structure of morphisms in algebraic geometry: étale, flat, etc., Polynomials over commutative rings Regular subrings of a polynomial ring. II | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic algebraic curves over positive characteristic; plane curve singularities; zeta functions; motivic zeta function; Poincaré series; local ring; semigroup of curve singularities Moyano-Fernández, J.J.; Zúñiga-Galindo, W.A., Motivic zeta functions for curve singularities, Nagoya Math. J., 198, 47-75, (2010) Singularities of curves, local rings, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Monodromy; relations with differential equations and \(D\)-modules (complex-analytic aspects), Zeta functions and \(L\)-functions Motivic zeta functions for curve 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 central points; model class of fields; valuation; function field Bröcker, L.; Schülting, H. W.: Valuation theory from the geometrical point of view. J. reine angew. Math. 365, 12-32 (1986) Model theory of fields, Valued fields, Algebraic functions and function fields in algebraic geometry, Model-theoretic algebra Valuations of function fields from the geometrical point of view | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic subextremal curves; biliaison; spectrum of a curve; Rao function for curves Nollet S.: Subextremal curves. Manuscr. Math. 94(3), 303--317 (1997) Plane and space curves, Classical real and complex (co)homology in algebraic geometry, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Linkage Subextremal curves | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.