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ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic arithmetic duality theorems; weak approximation; unramified cohomology \(p\)-adic theory, Curves over finite and local fields, Hasse principle, weak and strong approximation, Brauer-Manin obstruction Obstructions to weak approximation for reductive groups over \(p\)-adic function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic automorphism groups of function fields; function fields over finite fields Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Automorphisms of curves, Applications to coding theory and cryptography of arithmetic geometry The asymptotic behavior of automorphism groups 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 sums of squares; Pythagoras number; level; purity theorem in cohomology Sums of squares and representations by other particular quadratic forms, Quadratic forms over general fields, Algebraic theory of quadratic forms; Witt groups and rings, Étale and other Grothendieck topologies and (co)homologies Sums of squares in function fields over Henselian 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 Grothendieck topologies and Grothendieck topoi, Étale and other Grothendieck topologies and (co)homologies, Ordered structures A cohomological characteristic for the length and width of a partially ordered set | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic elliptic curve; elliptic surface; function field; genus; gonality; \(p\)-rank; torsion; K3 surface Andreas Schweizer, On the \?^{\?}-torsion of elliptic curves and elliptic surfaces in characteristic \?, Trans. Amer. Math. Soc. 357 (2005), no. 3, 1047 -- 1059. Elliptic curves over global fields, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Elliptic curves, Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Curves over finite and local fields, Global ground fields in algebraic geometry, \(K3\) surfaces and Enriques surfaces On the \(p^e\)-torsion of elliptic curves and elliptic 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 varieties over finite fields; projective variety; power series; Neron height; \(p\)-adic meromorphic function Da Qing Wan, Heights and zeta functions in function fields, The arithmetic of function fields (Columbus, OH, 1991) Ohio State Univ. Math. Res. Inst. Publ., vol. 2, de Gruyter, Berlin, 1992, pp. 455-463. Varieties over finite and local fields, Curves over finite and local fields, Finite ground fields in algebraic geometry, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.) Heights and zeta functions in function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic function field; bounds for the height of rational points; torsion; canonical height; integral points; elliptic curves Elliptic curves over global fields, Arithmetic theory of algebraic function fields, Heights, Rational points Integral points on elliptic curves over function fields of positive characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(p\)-adic representations of Galois groups; crystalline cohomology; ring of Witt vectors Fontaine, Jean-Marc, Représentations p-adiques des corps locaux (1ère partie), (The Grothendieck Festschrift, (1990), Springer), 249-309 Integral representations, \(p\)-adic cohomology, crystalline cohomology, Formal groups, \(p\)-divisible groups \(p\)-adic representations of local fields. 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 L-function; analytic rank; algebraic rank; Birch-Swinnerton-Dyer conjecture; function field Douglas Ulmer, \?-functions with large analytic rank and abelian varieties with large algebraic rank over function fields, Invent. Math. 167 (2007), no. 2, 379 -- 408. \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Rational points, Elliptic curves over global fields, Abelian varieties of dimension \(> 1\), Curves of arbitrary genus or genus \(\ne 1\) over global fields, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Global ground fields in algebraic geometry, Subvarieties of abelian varieties, Arithmetic ground fields for abelian varieties \(L\)-functions with large analytic rank and abelian varieties with large algebraic rank 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 singular Riemann-Roch theorem; \({\mathcal D}\)-modules; index of a holonomic module Riemann-Roch theorems, Sheaves and cohomology of sections of holomorphic vector bundles, general results Le théorème de Riemann-Roch singulier pour les \({\mathcal D}\)-modules | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(F\)-integrability; formal group; higher derivation Formal groups, \(p\)-divisible groups, Derivations and commutative rings, Group actions on varieties or schemes (quotients) On multiplicative integrability of derivations in characteristic \(p>0\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic rank of abelian variety; function fields; elliptic curve Pacheco, A.: The rank of abelian varieties over function fields. Manuscripta Math. 118, 361--381 (2005) Abelian varieties of dimension \(> 1\), Rational points, Arithmetic ground fields for curves, Arithmetic ground fields for abelian varieties On the rank of abelian varieties over function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic primary powers of a prime ideal; local number of generators of an ideal; Gorenstein local domain; symbolic power; homogeneous prime ideal of the polynomial ring Ideals and multiplicative ideal theory in commutative rings, Polynomial rings and ideals; rings of integer-valued polynomials, Relevant commutative algebra A note on primary powers of a prime ideal | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Mordell-Lang conjecture; rational points; torsion points; algebraically closed field; semi-Abelian variety; differentially closed field; group subvarieties; separably closed fields; Hrushovski-Zil'ber Dichotomy Theorem; diophantine geometry; Zariski geometry Manin, Y.I.: Letter to the editors: ''Rational points on algebraic curves over function fields'' [Izv. Akad. Nauk SSSR Ser. Mat. 27 (1963), 1397-1442; MR0157971 (28 #1199)], Izv. Akad. Nauk SSSR Ser. Mat. 53 (1989), no. 2, 447-448 (Russian); English transl., Math. USSR-Izv. 34 (1990), no. 2, 465-466 Model-theoretic algebra, Rational points, Abelian varieties of dimension \(> 1\), Classification theory, stability, and related concepts in model theory The Mordell-Lang conjecture 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 motivic \(L\)-function; Iwasawa theory; cristalline representation; Coleman exponential isomorphism; Bloch-Kato formula [P3] Perrin-Riou, B.: Théorie d'Iwasawa des représentationsp-adiques: le cas local. C.R. Acad. Sci. Paris, Sér. I,315, 629-632 (1992) Local ground fields in algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Algebraic number theory: local fields Iwasawa theory of \(p\)-adic representations: Local 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 arithmetic geometry; motives; arithmetic motivic integration; field arithmetic; first-order model theory; arithmetical Poincaré series; zeta functions; rationality questions; Galois stratifications; definable subassignments; \(p\)-adic integration Denef, Jan; Loeser, François, Definable sets, motives and \(p\)-adic integrals, J. Amer. Math. Soc., 0894-0347, 14, 2, 429-469, (2001) Arithmetic varieties and schemes; Arakelov theory; heights, Local ground fields in algebraic geometry, Quantifier elimination, model completeness, and related topics, Applications of model theory, Other classical first-order model theory, Abstract model theory, Field arithmetic, Model theory of fields, Finite ground fields in algebraic geometry, Other nonalgebraically closed ground fields in algebraic geometry, Varieties over finite and local fields, Zeta functions and \(L\)-functions, Ultraproducts and field theory, Étale and other Grothendieck topologies and (co)homologies, Rational points, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Arithmetic ground fields for surfaces or higher-dimensional varieties, Motivic cohomology; motivic homotopy theory Definable sets, motives and \(p\)-adic integrals | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(p\)-adic Hodge theory; \(q\)-deformation; rings of differential operators \(p\)-adic cohomology, crystalline cohomology, Local ground fields in algebraic geometry, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure On a \(q\)-local deformation of the non-abelian Hodge theory into a 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 Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Integral closure of commutative rings and ideals, Multiplicity theory and related topics, Singularities in algebraic geometry Toward an efficient algorithm for deciding the vanishing of local cohomology modules 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 Christol, G.; Mebkhout, Z., Sur le théorème de l\(###\)indice des équations différentielles \textit{p}-adiques III, Ann. Math., 151, 385-457, (2000) \(p\)-adic differential equations, \(p\)-adic cohomology, crystalline cohomology, Local ground fields in algebraic geometry On the index theorem for \(p\)-adic differential equations. III | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic pseudo real closed; K-rational point; plane curves Alexander Prestel, On the axiomatization of PRC-fields, Methods in mathematical logic (Caracas, 1983) Lecture Notes in Math., vol. 1130, Springer, Berlin, 1985, pp. 351 -- 359. Fields related with sums of squares (formally real fields, Pythagorean fields, etc.), Rational points, Real algebraic and real-analytic geometry On the axiomatization of PRC-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 PAC field over rings; P\(\mathcal{S}\)C fields over rings; local global principle; global fields; absolute Galois group; Haar measure; valuations; Henselian fields; field of totally \(\mathcal{S}\)-adic numbers Jarden, Moshe; Razon, Aharon, Rumely's local global principle for algebraic \(\operatorname{p} \mathcal{S} \operatorname{c}\) fields over rings, Trans. Amer. Math. Soc., 350, 1, 55-85, (1998) Arithmetic theory of algebraic function fields, Algebraic numbers; rings of algebraic integers, Decidability (number-theoretic aspects), Hilbertian fields; Hilbert's irreducibility theorem, Rational points Rumely's local global principle for algebraic P\(\mathcal{S}\)C fields over rings | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic algebraic curve over a finite field; group of automorphisms; rational group ring; zeta-functions of the quotient curves DOI: 10.4153/CMB-1990-046-x Coverings of curves, fundamental group, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Finite ground fields in algebraic geometry, Group actions on varieties or schemes (quotients) A note on relations between the zeta-functions of Galois coverings of 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 \(F\)-rational ring; characteristic \(p\); pure subring Wa3 K.-i.~Watanabe, \(F\)-rationality of certain Rees algebras and counterexamples to ``Boutot's theorem'' for \(F\)-rational rings, J. Pure Appl. Algebra \textbf 122 (1997), no. 3, 323--328. Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Singularities in algebraic geometry, Local cohomology and commutative rings, Rational and birational maps \(F\)-rationality of certain Rees algebras and counterexamples to ``Boutot's theorem'' for \(F\)-rational rings | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Analytic theory of abelian varieties; abelian integrals and differentials On the significance of the number \(p\) in the abelian functions and their connections with 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 non-vanishing of \(L\)-functions; twisted \(L\)-functions of elliptic curves; function fields; elliptic curve rank in extensions Elliptic curves over global fields, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Arithmetic ground fields for curves On the vanishing of twisted \(L\)-functions of elliptic curves over rational function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic 10.1017/fms.2014.11 Rigid analytic geometry On the connected components of a family of \({p}\)-adic analytic 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 jets; Wronskian; hyperelliptic curve Riemann surfaces; Weierstrass points; gap sequences, Grassmannians, Schubert varieties, flag manifolds, Curves in algebraic geometry Jets of line bundles on curves and Wronskians | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic higher reciprocity laws; Cauchy-Euler equations; Fourier expansion; exponential sum; pseudo \(\vartheta\)-function DOI: 10.1006/jnth.1993.1036 Class field theory, Theta functions and abelian varieties On a generalization of Hecke \(\vartheta\)-functions and the analytic proof of higher reciprocity laws | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic graded coordinate system; hyperbolic curve; exterior Galois representation; outer automorphism group; punctured Riemann surface; braid-like derivation algebras; exterior Galois representations Nakamura, H.; Tsunogai, H., Some finiteness theorems on Galois centralizers in pro-\textit{} mapping class groups, J. Reine Angew. Math., 441, 115-144, (1993) Coverings of curves, fundamental group, Riemann surfaces; Weierstrass points; gap sequences, Automorphisms of curves Some finiteness theorems on Galois centralizers in pro-\(l\) mapping 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 Euler products; zeta-functions; analytic continuation; adelic string amplitude; Eisenstein series; Hecke operator Kurokawa N.,Analyticity of Dirichlet series over prime powers, Lect. Note. Math. Springer,1434 (1990), 168--177. Other Dirichlet series and zeta functions, Langlands \(L\)-functions; one variable Dirichlet series and functional equations, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Other elementary particle theory in quantum theory Analyticity of Dirichlet series over prime powers | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic positive characteristic; abelian variety; jet schemes; Galois theory; restriction of scalars functor; lifts of points; \(p\)-divisible points; Manin-Mumford conjecture; Mordell-Lang conjecture Rössler, D, On the Manin-Mumford and Mordell-lang conjectures in positive characteristic, Algebra Number Theory, 7, 2039-2057, (2013) Rational points, Subvarieties of abelian varieties, Positive characteristic ground fields in algebraic geometry, Abelian varieties and schemes, Abelian varieties of dimension \(> 1\) On the Manin-Mumford and Mordell-Lang conjectures 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 elliptic curves; elliptic Korselt numbers; anomalous primes; elliptic pseudoprimes and Carmichael numbers Elliptic curves, Complex multiplication and abelian varieties, Elliptic curves over global fields, Curves over finite and local fields Anomalous primes and the elliptic Korselt criterion | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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 varieties, Grassmannians, Schubert varieties, flag manifolds On the exotic t-structure 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 Schubert class; Schur \(Q\)-functions; isotropic Grassmannians; equivariant \(K\)-theory Ikeda, T.; Naruse, H., \textit{K}-theoretic analogue of Schur \textit{P}-, \textit{Q}-functions, Adv. Math., 243, 22-66, (2013) Symmetric functions and generalizations, Grassmannians, Schubert varieties, flag manifolds, Equivariant \(K\)-theory \(K\)-theoretic analogues of factorial Schur \(P\)- and \(Q\)-functions | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic function fields; Bombieri-lang conjecture; varieties of general type Rational points, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry Rational points of varieties with ample cotangent bundle 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 abc-conjecture; Zsigmondy sets; Ih's conjecture; arithmetic dynamics; height theory; arboreal Galois representations; unicritical polynomials Heights, Galois theory, Dynamical systems over global ground fields, Rational points, Families and moduli spaces in arithmetic and non-Archimedean dynamical systems The \(ABC\)-conjecture implies uniform bounds on dynamical Zsigmondy sets | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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 curves; Jacobian variety; isogeny decomposition Jacobians, Prym varieties, Coverings of curves, fundamental group, Automorphisms of curves A remark on the decomposition of the Jacobian variety of Fermat curves of prime degree | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic local fields; upper ramification numbers; ramification filtration; ramification groups; crystalline representations; Anderson motives; valuations Abrashkin, V.: Characteristic p analogue of modules with finite crystalline height, Pure appl. Math. Q. 5, No. 1, 469-494 (2009) Ramification and extension theory, Galois theory, (Co)homology theory in algebraic geometry Characteristic \(p\) analogue of modules with finite crystalline height | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Kempf's vanishing theorem; cohomology of line bundles; flag varieties; Borel-Weil theorem Cohomology theory for linear algebraic groups, Representation theory for linear algebraic groups, Grassmannians, Schubert varieties, flag manifolds Cohomology of line bundles on flag varieties 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 Gauss map; finite characteristic; Frobenius; rank-2 vector bundles Hajime Kaji, On the Gauss maps of space curves in characteristic \?, Compositio Math. 70 (1989), no. 2, 177 -- 197. Curves in algebraic geometry, Finite ground fields in algebraic geometry On the Gauss maps of space curves in characteristic p | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Tate-Shafarevich pairing; elliptic curves Arithmetic ground fields for curves, Elliptic curves, Elliptic curves over local fields Distinguishing of the class of general local fields with residue field of characteristic \(p^3\), for which the Tate-Shafarevich pairing in elliptic curves is nondegenerate from the left | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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 multiple zeta value; de Rham fundamental group; crystalline Frobenius morphism; comparison isomorphism; higher cyclotomy Ünver, S., Cyclotomic \textit{p}-adic multi-zeta values in depth two, Manuscr. Math., 149, 3-4, 405-441, (2016) Local ground fields in algebraic geometry, Rigid analytic geometry, Multiple Dirichlet series and zeta functions and multizeta values, (Equivariant) Chow groups and rings; motives Cyclotomic \(p\)-adic multi-zeta values in depth two | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Riemann matrices; reduction of Abelian integrals; theta function Martens, H. H.: A footnote to the Poincaré complete reducibility theorem. Publ. mat. 36, 111 (1992) Compact Riemann surfaces and uniformization, Period matrices, variation of Hodge structure; degenerations, Analytic theory of abelian varieties; abelian integrals and differentials, Coverings of curves, fundamental group A footnote to the Poincaré complete reducibility 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 Langlands correspondence; Drinfeld shtukas Langlands-Weil conjectures, nonabelian class field theory, Algebraic moduli problems, moduli of vector bundles Langlands parameterization over function fields following V. Lafforgue | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Galois representation; tubular neighbourhood; rigid analysis Kisin, Mark, Local constancy in \(p\)-adic families of Galois representations, Math. Z., 230, 3, 569-593, (1999) Non-Archimedean analysis, Local ground fields in algebraic geometry Local constancy in \(p\)-adic families of Galois representations | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic involution of compact Riemann surface; bound number of ovals G. Gromadzki: ''On a Harnack-Natanzon theorem for the family of real forms of Rieamnn surfaces'', J. Pure Appl. Alg., Vol. 121, (1997), pp. 253--269. Enumerative problems (combinatorial problems) in algebraic geometry, Riemann surfaces; Weierstrass points; gap sequences, Compact Riemann surfaces and uniformization On a Harnack-Natanzon theorem for the family of real forms of Riemann surfaces | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic secant varieties; fat point; Terracini Lemma; linear systems M. C. Brambilla and G. Ottaviani, \textit{On the Alexander--Hirschowitz theorem}, J. Pure Appl. Algebra, 212 (2008), pp. 1229--1251. Divisors, linear systems, invertible sheaves, Vector and tensor algebra, theory of invariants, Homogeneous spaces and generalizations On the Alexander-Hirschowitz 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 unirational; uniruled; characteristic \(p\); moduli of curves; elliptic curves; modular forms; étale cohomology Rational and unirational varieties, Families, moduli of curves (algebraic) \(\overline M_{1,n}\) is usually not uniruled 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 characteristic \(p\); Galois groups of unramified covers of projective curves K. F. Stevenson, Galois groups of unramified covers of projective curves in characteristic \(p\), Journal of Algebra 44, (To Appear). Coverings of curves, fundamental group, Inverse Galois theory, Coverings in algebraic geometry, Finite ground fields in algebraic geometry Galois groups of unramified covers of projective curves in characteristic \(p\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic oval of a symmetry of a Riemann surface; NEC group E. Kozłowska-Walania, On \(p\)-hyperellipticity of doubly symmetric Riemann surfaces , Publ. Matem. 51 (2007), 291-307. Compact Riemann surfaces and uniformization, Curves in algebraic geometry, Klein surfaces On \(p\)-hyperellipticity of doubly symmetric 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 generalized Witt vectors; Hasse-Witt matrix; Picard-Fuchs differential equations; Gauss-Manin connection; \(p\)-adic monodromy; hypergeometric curves J. Stienstra, Marius van der Put, and Bert van der Marel, On \(p\)-adic monodromy , Math. Z. 208 (1991), no. 2, 309-325. \(p\)-adic cohomology, crystalline cohomology, Local ground fields in algebraic geometry, \(p\)-adic differential equations, Other hypergeometric functions and integrals in several variables On \(p\)-adic monodromy | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Iwahori-Hecke algebra; symmetric group; Newton divided differences; Yang- Baxter relations; Euler-Poincaré characteristic; flat manifolds; irreducible representations; hook partitions; Kazhdan-Lustig graphs; quantum spin chain; quantum superalgebra; symmetry algebra Duchamp, G., Krob, D., Lascoux, A., Leclerc, B., Scharf, T., Thibon, J.Y.: Euler-Poincaré characteristic and polynomial representations of Iwahori-Hecke algebras. Publ. RIMS \textbf{31}, 179-201 (1995) Combinatorial aspects of representation theory, Representations of finite symmetric groups, Grassmannians, Schubert varieties, flag manifolds, Applications of linear algebraic groups to the sciences Euler-Poincaré characteristic and polynomial representations of Iwahori-Hecke algebras | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(L\)-functions over function fields; hyperelliptic curves; elliptic curves over function fields Curves over finite and local fields, Arithmetic theory of polynomial rings over finite fields, Zeta and \(L\)-functions in characteristic \(p\), Elliptic curves, Special algebraic curves and curves of low genus Statistics of zeros of families of \(L\)-functions over function fields: a survey | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Gross-Kohnen-Zagier theorem; Hida families; \(p\)-adic Kudla program; big Heegner points; Jacobi forms Fourier coefficients of automorphic forms, \(p\)-adic theory, local fields, Jacobi forms, Theta series; Weil representation; theta correspondences, Modular and Shimura varieties The \(p\)-adic variation of the Gross-Kohnen-Zagier 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 Brauer group; ramification divisor; cyclic classes E. Brussel, K. Mckinnie and E. Tengan, Cyclic Length in the Tame Brauer Group of the Function Field of a \( p\)-Adic Curve, preprint. Brauer groups of schemes, Curves over finite and local fields, Local ground fields in algebraic geometry Cyclic length in the tame Brauer group of the function field of a \(p\)-adic 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 abelian variety; \(K/k\)-trace; Lang-Néron theorem Conrad, Brian, Chow's {\(K/k\)}-image and {\(K/k\)}-trace, and the {L}ang-{N}éron theorem, Enseign. Math. (2). L'Enseignement Mathématique. Revue Internationale. 2e Série, 52, 37-108, (2006) Arithmetic varieties and schemes; Arakelov theory; heights, Heights, Algebraic theory of abelian varieties Chow's \(K/k\)-image and \(K/k\)-trace, and the Lang-Néron 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 \(p\)-divisible groups; deformation space; Newton polygons Group schemes, Formal groups, \(p\)-divisible groups, Algebraic moduli of abelian varieties, classification On specializations of minimal \(p\)-divisible groups | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic reductive group; Chevalley restriction theorem; adjoint representation; stratification Geometric invariant theory, Group actions on varieties or schemes (quotients), Noncompact Lie groups of transformations, General theory of group and pseudogroup actions, Complex Lie groups, group actions on complex spaces A quotient restriction theorem for actions of real reductive 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 many rational places; cyclotomic fields Keller, A.: Cyclotomic function fields with many rational places. Finite fields and appl., 293-303 (2001) Cyclotomic function fields (class groups, Bernoulli objects, etc.), Algebraic coding theory; cryptography (number-theoretic aspects), Rational points Cyclotomic function fields with many rational places | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic polarizable variation of Hodge structures; monodromy representation P. Deligne, Un théorème de finitude pour la monodromie, in Discrete Groups in Geometry and Analysis (New Haven, 1, (1984) Classical real and complex (co)homology in algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects) A finiteness theorem for monodromy | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic conics; ellipse; hyperbola; confocal conics; curvature circles; pencils Questions of classical algebraic geometry, Plane and space curves, Pencils, nets, webs in algebraic geometry On a theorem of M. Chasles about homofocal conics | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Shimura curves; rational points; Gross vectors, Atkin-Lehner involutions DOI: 10.5802/aif.2810 Modular and Shimura varieties, Rational points, Gauss and Kloosterman sums; generalizations Rational points on Atkin-Lehner quotients of Shimura curves of discriminant \(p q\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(p\)-adic integration; Laurent series fields Arithmetic ground fields for abelian varieties, \(p\)-adic cohomology, crystalline cohomology, Homotopy theory and fundamental groups in algebraic geometry Iterated line integrals over Laurent series fields of characteristic \(p\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Vector bundles on curves and their moduli, Topological properties in algebraic geometry, Algebraic moduli problems, moduli of vector bundles Hitchin fibrations, abelian surfaces, and the \(P=W\) 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 Hecke operator; congruences; trace formula M. Koike, ''On some \(p\)-adic properties of the Eichler-Selberg trace formula,'' Nagoya Math. J., vol. 56, pp. 45-52, 1975. Congruences for modular and \(p\)-adic modular forms, Spectral theory; trace formulas (e.g., that of Selberg), \(p\)-adic theory, local fields, Local ground fields in algebraic geometry On some \(p\)-adic properties of the Eichler-Selberg trace formula | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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; fat point; zero-dimensional scheme; quadric surface Guardo, Elena; Van Tuyl, Adam, Fat points in \(\mathbb{P}^1\times\mathbb{P}^1\) and their Hilbert functions, Canad. J. Math., 56, 4, 716-741, (2004) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Syzygies, resolutions, complexes and commutative rings Fat points in \(\mathbb{P}^1\times\mathbb{P}^1\) and their Hilbert 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 flag variety; arithmetic differential operators; affinity C. Noot-Huyghe, ''Un théorème de Beilinson-Bernstein pour les \(\mathcalD\)-modules arithmétiques,'' Bull. Soc. Math. France, vol. 137, iss. 2, pp. 159-183, 2009. \(p\)-adic cohomology, crystalline cohomology, Vanishing theorems in algebraic geometry A Beilinson-Bernstein theorem for arithmetic \(\mathcal D\)-modules | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Noether's problem; the rationality problem; metacyclic \(p\)-groups Inverse Galois theory, Actions of groups on commutative rings; invariant theory, Galois theory, Rationality questions in algebraic geometry Noether's problem for abelian extensions of bicyclic and metacyclic \(p\)-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 SK1; affine curve over field of characteristic p; torsion; K2 of finite field; Mennicke symbols Applications of methods of algebraic \(K\)-theory in algebraic geometry, Arithmetic ground fields for curves, Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects), Galois cohomology, Picard groups, Finite ground fields in algebraic geometry Fields with vanishing \(K_ 2\). Torsion in \(H^ 1(X,K_ 2)\) and \(Ch^ 2(X)\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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 cohomology, crystalline cohomology, de Rham cohomology and algebraic geometry On log local Cartier transform of higher level 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 Michael Harris, Correction to: ''\?-adic representations arising from descent on abelian varieties'' [Compositio Math. 39 (1979), no. 2, 177 -- 245; MR0546966 (80j:14035)], Compositio Math. 121 (2000), no. 1, 105 -- 108. Arithmetic ground fields for abelian varieties, Iwasawa theory, Abelian varieties of dimension \(> 1\), Global ground fields in algebraic geometry Correction to: \(p\)-adic representations arising from descent on Abelian varieties. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic genus; Frobenius number; curve; postive characteristic Automorphisms of curves, The Frobenius problem A Frobenius question related to actions on curves in characteristic \(p\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic arithmetic D-module; logarithmic structure; nearby cycles; semistable reduction \bibTsu08article label=Tsu08, author=Tsuji, Takeshi, title=On nearby cycles and \(\mathcal D\)-modules of log schemes in characteristic \(p>0\), journal=Compos. Math., volume=146, number=6, pages=1552--1616, date=2010, doi=10.1112/\linebreak S0010437X10004768, issn=0010-437X, review=\MR 2735373, \(p\)-adic cohomology, crystalline cohomology, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials On nearby cycles and \(\mathcal D\)-modules of log schemes in characteristic \(p>0\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic field of moduli; stable reduction; Galois cover A. Obus, Fields of moduli of three-point \(G\)-covers with cyclic \(p\)-Sylow, II, J. Théor. Nombres Bordeaux 25 (2013), no. 3, 579--633. Local ground fields in algebraic geometry, Coverings of curves, fundamental group, Arithmetic ground fields for curves, Global ground fields in algebraic geometry, Curves over finite and local fields, Galois theory Fields of moduli of three-point \(G\)-covers with cyclic \(p\)-Sylow. 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 Teichmüller modular function fields; pro-\(l\) number field towers; moduli stack of smooth projective curves; stability; braid groups Nakamura, H.; Takao, N.; Ueno, R., Some stability properties of Teichmüller modular function fields with pro-\textit{} weight structures, Math. ann., 302, 197-213, (1995), MR 96h:14041 Arithmetic ground fields for curves, Coverings of curves, fundamental group, Families, moduli of curves (algebraic), Braid groups; Artin groups Some stability properties of Teichmüller modular function fields with pro-\(l\) weight structures | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic torsors; affine group schemes; models; prime to \(p\) torsors Group actions on varieties or schemes (quotients), Group schemes, Arithmetic algebraic geometry (Diophantine geometry) Extension of torsors and prime to \(p\) fundamental group scheme | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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 theory of abelian varieties; abelian integrals and differentials, Singularities in algebraic geometry, Singularities of surfaces or higher-dimensional varieties A characterization of finite quotients of abelian varieties | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic canonical curves; syzygies; Green's conjecture; finite fields Computational aspects of algebraic curves, Special divisors on curves (gonality, Brill-Noether theory), Syzygies, resolutions, complexes and commutative rings A version of Green's conjecture 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 quadratic forms; characteristic 2; quadrics Quadratic forms over general fields, Pencils, nets, webs in algebraic geometry, Positive characteristic ground fields in algebraic geometry Regular pairs of quadratic forms on odd-dimensional spaces in characteristic 2 | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Nevanlinna theory; Picard-Berkovich's Theorem Boutabaa, A.; Escassut, A.: Parametrization of curves in characteristic p, Commentarii mathematici universitatis sancti Pauli 53, No. 2, 205-217 (2004) Algebraic functions and function fields in algebraic geometry, Non-Archimedean function theory Parametrization of curves in characteristic \(p\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic cyclotomic function field; Jacobian; Hasse-Witt invariant Cyclotomic function fields (class groups, Bernoulli objects, etc.), Arithmetic theory of algebraic function fields, Jacobians, Prym varieties On the ordinarity of the maximal real subfield of cyclotomic 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 equations in many variables; forms of degree higher than two; applications of the Hardy-Littlewood method; global ground fields Diophantine equations in many variables, Forms of degree higher than two, Applications of the Hardy-Littlewood method, Global ground fields in algebraic geometry A note on \(p\)-adic solubility for forms in many variables | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic family of curves; Arakelov inequality; Higgs bundle; Beauville's conjecture Fibrations, degenerations in algebraic geometry, Families, moduli of curves (algebraic), Arithmetic ground fields for curves, Arithmetic varieties and schemes; Arakelov theory; heights On the Arakelov inequality 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 characteristic p; negative étale Euler number; falsely ruled surfaces; Albanese map -, On the Euler number of algebraic surfaces in characteristic \( p\), Amer. J. Math. 108 (1980), 511-516. Families, moduli, classification: algebraic theory, Topological properties in algebraic geometry, Finite ground fields in algebraic geometry On the Euler number of algebraic 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 local Euler characteristic; instanton decay; surface singularity Gasparim, E.; Köppe, T.; Majumdar, P., Local holomorphic Euler characteristic and instanton decay, Pure Appl. Math. Q., 4, 161-179, (2008) Relationships between surfaces, higher-dimensional varieties, and physics, Singularities of surfaces or higher-dimensional varieties, Software, source code, etc. for problems pertaining to algebraic geometry Local holomorphic Euler characteristic and instanton decay | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Galois cohomology; generalized flag variety; Picard group; Brauer group; Chow group Peyré, G, A review of adaptive image representations, IEEE J. Sel. Top. Signal Process., 5, 896-911, (2011) Grassmannians, Schubert varieties, flag manifolds, Galois cohomology, Parametrization (Chow and Hilbert schemes), Brauer groups of schemes Function fields of homogeneous varieties and Galois cohomology | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic etale cohomology; Galois cohomology; Yoneda pairing; Artin-Verdier duality C. Deninger, On Artin--Verdier duality for function fields, Math. Z. 188 (1984), 91--100. Étale and other Grothendieck topologies and (co)homologies, Galois cohomology, Arithmetic theory of algebraic function fields On Artin-Verdier duality for function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic finite flat group scheme; canonical subgroup; ramification Formal groups, \(p\)-divisible groups, Galois theory, Group schemes Canonical subgroups via Breuil-Kisin modules for \(p=2\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic elliptic curve; rational points; heights Elliptic curves over global fields, Heights, Rational points An elliptic analogue of Roth'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 David Lubicz, Une description de la cohomologie du complément à un diviseur non réductible de \?², Bull. Sci. Math. 124 (2000), no. 6, 447 -- 458 (French). de Rham cohomology and algebraic geometry, Transcendental methods, Hodge theory (algebro-geometric aspects), Classical real and complex (co)homology in algebraic geometry A description of the cohomology of the complement with a non-reducible divisor of \(\mathbb{P}^2\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic theta functions; counting lattice points Theta functions and abelian varieties, Sums of squares and representations by other particular quadratic forms, Theta series; Weil representation; theta correspondences Note on a theorem of Farkas and Kra | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic isolated singularities; de Rham complex; torsion differentials; volume forms; normal forms; isotropy group; Lagrangian singularities Complex surface and hypersurface singularities, Singularities in algebraic geometry, Singularities of surfaces or higher-dimensional varieties A converse to a theorem on normal forms of volume forms with respect to a hypersurface | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic reduction modulo \(p\); tight closure; singularities; Frobenius morphism Kei-ichi Watanabe, Characterizations of singularities in characteristic 0 via Frobenius map, Commutative algebra, algebraic geometry, and computational methods (Hanoi, 1996) Springer, Singapore, 1999, pp. 155 -- 169. Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Singularities in algebraic geometry Characterizations of singularities in characteristic 0 via Frobenius map | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Witt vectors; de Rham-Witt complex; perfectoid rings Witt vectors and related rings, Modules of differentials, \(p\)-adic cohomology, crystalline cohomology On the \(p\)-typical de Rham-Witt complex over \(W(k)\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic partitions; moduli spaces of curves; Hilbert schemes; virtual Hodge polynomials; Donaldson-Thomas invariants; Euler characteristics Parametrization (Chow and Hilbert schemes), Algebraic moduli problems, moduli of vector bundles, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) On the Euler characteristics of certain moduli spaces of \(1\)-dimensional closed subschemes | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic prime ideal in the ring of semialgebraic functions; Krull dimension Gamboa, On prime ideals in rings of semialgebraic functions, Proc. Amer. Math. Soc. 118 (4) pp 1034-- (1993) Semialgebraic sets and related spaces, Ideals and multiplicative ideal theory in commutative rings, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) On prime ideals in rings of semialgebraic functions | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Lagrangian Grassmannian; Wronski map; Plücker map; self-adjoint lineal differential operator; symmetric linear control system; pole placement map Grassmannians, Schubert varieties, flag manifolds, Linear ordinary differential equations and systems, Pole and zero placement problems Injectivity of generalized Wronski maps | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic idealization; pullback; Zariski topology; D + M construction; Krull dimension M. D'Anna, C. A. Finocchiaro and M. Fontana, \textit{Properties of chains of prime ideals in amalgamated} \textit{algebras along an ideal}, J. Pure Applied Algebra 214 (2010), 1633-1641. Ideals and multiplicative ideal theory in commutative rings, Commutative ring extensions and related topics, Relevant commutative algebra Properties of chains of prime ideals in an amalgamated algebra along an ideal | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic singularities of the minimal model program; differential forms; reflexive sheaves; canonical pairs; log resolutions; Lipman-Zariski conjecture Graf, P; Kovács, SJ, An optimal extension theorem for 1-forms and the lipman-Zariski conjecture, Doc. Math., 19, 815-830, (2014) Singularities in algebraic geometry, Minimal model program (Mori theory, extremal rays), Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Regular local rings, Local complex singularities, Modifications; resolution of singularities (complex-analytic aspects) An optimal extension theorem for 1-forms and the Lipman-Zariski 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 affine Grassmannian; Springer resolution; Langlands duality G.~Lusztig, Singularities, character formulas, and a \(q\)-analog of weight multiplicities, In: Analysis and Topology on Singular Spaces. II, III, Luminy, 1981, Astérisque, \textbf{101}, Soc. Math. France, Paris, 1983, pp. 208-229. Geometric Langlands program (algebro-geometric aspects), Grassmannians, Schubert varieties, flag manifolds, Geometric Langlands program: representation-theoretic aspects The affine Grassmannian and the Springer resolution in positive characteristic | 0 |
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