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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 elliptic surfaces; Mordell-Weil rank under base change Elliptic surfaces, elliptic or Calabi-Yau fibrations Chevalley-Weil formula for hypersurfaces in \(\mathbb{P}^n\) over curves and Mordell-Weil ranks in function field towers | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Barsotti-Tate groups; \(p\)-divisible groups; Katz correspondence; Dieudonne crystal; fundamental group scheme C. Garuti, Barsotti-Tate Groups and p-adic Representations of the Fundamental Group Scheme. Math. Ann. 341 No. 3 (2008), 603-622. Zbl1145.14036 MR2399161 Formal groups, \(p\)-divisible groups, Étale and other Grothendieck topologies and (co)homologies Barsotti-Tate groups and \(p\)-adic representations of the 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 differential Galois theory; algebraic independence over function fields; semiabelian schemes; Manin maps Model-theoretic algebra, Results involving abelian varieties, Differential algebra, Algebraic theory of abelian varieties, Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain Galois theory, functional Lindemann-Weierstrass, and Manin 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 projective curve; quotient of the algebraic fundamental group Pacheco, A.; Stevenson, K. F., \textit{finite quotients of the algebraic fundamental group of projective curves in positive characteristic}, Pacific J. Math., 192, 143-158, (2000) Coverings of curves, fundamental group, Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure, Coverings in algebraic geometry, Homotopy theory and fundamental groups in algebraic geometry, Fundamental group, presentations, free differential calculus, Homogeneous spaces and generalizations Finite quotients of the algebraic fundamental group of projective curves 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 \(l\)-adic cohomologies; \(L\)-functions; Tamagawa numbers; Bloch-Kato conjecture Fontaine, J.-M.; Perrin-Riou, B., Autour des conjectures de Bloch et Kato: cohomologie galoisienne et valeurs de fonctions L. Motives (Seattle, WA, 1991), Proc. Sympos. Pure Math. 55, Part 1, 599-706, (1994) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Galois cohomology, \(p\)-adic cohomology, crystalline cohomology, Étale cohomology, higher regulators, zeta and \(L\)-functions (\(K\)-theoretic aspects), \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Galois cohomology, Generalizations (algebraic spaces, stacks) About the Bloch and Kato conjectures: Galois cohomology and values of \(L\)-functions | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic elliptic curve; number of primes; primes of supersingular reduction; complex multiplication; generalized Riemann hypothesis [B] Brown, M.L.: Note on supersingular primes of elliptic curves over 438-1. Bull. London Math. Soc.20, 293-296 (1988) Singularities of curves, local rings, Elliptic curves, Distribution of primes, Arithmetic ground fields for abelian varieties Note on supersingular primes of elliptic curves over \({\mathbb{Q}}\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Darmon points; genus field; rationality; Shimura curve Longo, M; Vigni, S, The rationality of quaternionic Darmon points over genus fields of real quadratic fields, IMRN, 2014, 3632-3691, (2014) Arithmetic aspects of modular and Shimura varieties, Elliptic curves over global fields, Rational points The rationality of quaternionic Darmon points over genus fields of real quadratic fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Bloch-Kato conjecture; Milnor \(K\)-group; essentially smooth schemes; motivic cohomology; étale cohomology; Beilinson-Lichtenbaum conjecture; finite characteristic Thomas Geisser & Marc Levine, ``The Bloch-Kato conjecture and a theorem of Suslin-Voevodsky'', J. Reine Angew. Math.530 (2001), p. 55-103 Applications of methods of algebraic \(K\)-theory in algebraic geometry, Motivic cohomology; motivic homotopy theory, Finite ground fields in algebraic geometry The Bloch-Kato conjecture and a theorem of Suslin-Voevodsky | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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 Ramanujan conjecture; automorphic representations; moduli of vector bundles Geometric Langlands program: representation-theoretic aspects, Representation-theoretic methods; automorphic representations over local and global fields, Geometric Langlands program (algebro-geometric aspects), Étale and other Grothendieck topologies and (co)homologies, Linear algebraic groups over global fields and their integers On the Ramanujan conjecture for automorphic forms over function fields. I: 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 Hilbert class field tower; rational places Temkine, A.: Hilbert class field towers of function fields over finite fields and lower bounds for \(A(q)\). J. number theory 87, 189-210 (2001) Curves over finite and local fields, Class field theory, Arithmetic theory of algebraic function fields, Algebraic coding theory; cryptography (number-theoretic aspects), Arithmetic ground fields for curves Hilbert class field towers of function fields over finite fields and lower bounds for \(A(q)\) | 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 17th problem of Hilbert; Kochen operator; p-adically closed fields; isomorphism theorem; general embedding theorem; Hilbert Nullstellensatz Prestel, A., Roquette, P.: Formally \(p\)-adic Fields, volume 1050 of Lecture Notes in Mathematics. Springer, Berlin (1984) Formally \(p\)-adic fields, Valued fields, Research exposition (monographs, survey articles) pertaining to field theory, Real and complex fields, Relevant commutative algebra, Model theory of fields, Local ground fields in algebraic geometry Formally \(p\)-adic fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic curve singularity; conductor ideal; intersection number Singularities of curves, local rings, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) A note on relative dimensions of rings and conductors 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 J. Alm, A universal A1structure on BV algebras with multiple zeta value coefficients, \textit{Int. Math. Res. Not. IMRN}, (2016), no. 24, 7414--7470.MR 3632088 Multiple Dirichlet series and zeta functions and multizeta values, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Homological methods in Lie (super)algebras A universal \(A_\infty\) structure on BV algebras with multiple zeta value coefficients | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Bezout's theorem; intersection multiplicities; Euler-Poincaré characteristic DOI: 10.1007/BF01457073 Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Homological methods in commutative ring theory, Multiplicity theory and related topics An Euler-Poincaré characteristic for improper intersections | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic p-adic L-functions; CM fields; totally complex quadratic extension of a totally real field; Grössencharacter; p-adic measure; p-adic interpolation of Hecke L-function; functional equation; non-analytic Eisenstein series; Hilbert modular group; p-adic differential operators; p-adic Eisenstein series N.M. Katz, ''p-Adic L-functions for CM-fields,'' Invent. Math. 49(3), 199--297 (1978). Zeta functions and \(L\)-functions, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), \(p\)-adic differential equations, Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Complex multiplication and moduli of abelian varieties \(p\)-adic \(L\)-functions for CM fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(p\)-divisible group; Newton polygon; Dieudonné module; group representation Formal groups, \(p\)-divisible groups, Class field theory; \(p\)-adic formal groups Local monodromy of \(p\)-divisible groups | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(p\)-adic analogues of the Birch and Swinnerton-Dyer conjecture; Weil elliptic curves; extended Mordell-Weil group; \(p\)-adic height; \(p\)-adic multiplicative period Barry Mazur, John Tate & Jeremy Teitelbaum, ``On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer'', Invent. Math.84 (1986) no. 1, p. 1-48 Local ground fields in algebraic geometry, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Elliptic curves over local fields, Arithmetic ground fields for curves, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Rational points On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic diophantine approximation; G-functions; algebraic functions; Hilbert's irreducibility theorem; height on abelian varieties Dèbes, P.: G-fonctions et théorème d'irréductibilité de Hilbert. Acta arith. 47 (1986) Hilbertian fields; Hilbert's irreducibility theorem, Transcendence theory of other special functions, Heights, Polynomials (irreducibility, etc.), Arithmetic theory of algebraic function fields, Global ground fields in algebraic geometry \(G\)-functions and Hilbert's irreducibility 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 projective curve; holomorphic maps; de Franchis theorem Alzati A. and Pirola G. P., ''Some remarks on the de Franchis theorem,'' Ann. Univ. Ferrara Sez. VII (N. S.), 36, 45--52 (1990). Curves in algebraic geometry Some remarks on the de Franchis 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 category of \(p\)-adic representations; equivalence of categories; Sen-type decompletion; overconvergence of Laurent series Andreatta, F; Brinon, O, Surconvergence des représentations \(p\)-adiques: le cas relatif. représentations \(p\)-adiques de groupes \(p\)-adiques I: représentations galoisiennes et \((\phi,\Gamma )\)-modules, Astérisque, 319, 39-116, (2008) Galois representations, \(p\)-adic theory, local fields, Galois cohomology, Ramification and extension theory, Galois theory, Ramification problems in algebraic geometry, \(p\)-adic cohomology, crystalline cohomology Overconvergence of \(p\)-adic representations: the relative 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 K-analytic variety; p-adic zeta function; regular prehomogeneous spaces; p-adic spherical functions Igusa, J-I, Universal \(p\)-adic zeta functions and their functional equations, Am. J. Math., 111, 671-716, (1989) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Local ground fields in algebraic geometry, Zeta functions and \(L\)-functions Universal p-adic zeta functions and their functional equations | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic cancellation problem; polynomial algebra; graded ring; Derksen invariant; Makar-Limanov invariant Gupta, N, On zariski's cancellation problem in positive characteristic, Adv. Math., 264, 296-307, (2014) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Polynomials over commutative rings, Actions of groups on commutative rings; invariant theory, Graded rings On Zariski's cancellation problem 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 Theta functions; theta characteristics Theta functions and curves; Schottky problem Proof of a theorem of Riemann on \(\vartheta\) charakteristics. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Barsotti-Tate ring; minimal expansion; \(p\)-adic completion; ring of Witt vectors Colmez, Pierre: Le corps des périodes p-adiques. Comp. rendus acad. Sci. Paris, série I 310, 321-324 (1990) Galois cohomology, Witt vectors and related rings, Complete rings, completion, \(p\)-adic cohomology, crystalline cohomology, Formal groups, \(p\)-divisible groups The field of \(p\)-adic periods | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic algorithm; Zariski surfaces in characteristic p; computational methods Blass P., Lang J.: Zariski Surfaces and Differential equations in Characteristic \(p\) > 0. Dekker, New York (1987) Special surfaces, Software, source code, etc. for problems pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Finite ground fields in algebraic geometry Zariski surfaces and differential equations in characteristic \(p>0.\) With sections by David Joyce, William E. Lang and the collaboration of Raymond Hoobler, Joseph Lipman, Marc Levine, Thorston Ekedahl | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Riemann-Roch; \(K\)-theory; cohomology theories Navarro, A., On Grothendieck's Riemann-Roch theorem, Expo. Math., 35, 3, 326-342, (2017) Riemann-Roch theorems, Relations of \(K\)-theory with cohomology theories, Applications of methods of algebraic \(K\)-theory in algebraic geometry On Grothendieck's Riemann-Roch 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 power series over fields of positive characteristic; automatic sequences; Mordell-Lang conjecture over positive characteristic; S-unit equations over positive characteristic Speyer, D.: Christol's theorem and the Cartier operator, blog post of 11 Feb 2010, downloaded August 2015. https://sbseminar.wordpress.com/2010/02/11/ Automata sequences, Arithmetic algebraic geometry (Diophantine geometry), Exponential Diophantine equations, Positive characteristic ground fields in algebraic geometry On vanishing coefficients of algebraic power series over 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 real enumerative geometry; real plane curve; ramification point Topology of real algebraic varieties, Enumerative problems (combinatorial problems) in algebraic geometry, Combinatorial aspects of finite geometries, Configurations and arrangements of linear subspaces, Combinatorial geometries and geometric closure systems A real Riemann-Hurwitz 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 Kawamata-Viehweg vanishing theorem in positive characteristic; LC centers; minimal LC centers; adjunction formula; subadjunction; canonical bundle formula; positive characteristic 10.1007/s00209-016-1655-4 Minimal model program (Mori theory, extremal rays), \(3\)-folds On the adjunction formula for 3-folds in characteristic \(p>5\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic smooth homomorphism; general Néron desingularization; nested Artin approximation Spivakovsky, M., A new proof of D. popescu's theorem on smoothing of ring homomorphisms, \textit{J. Am. Math. Soc.}, 294, 381-444, (1999) Étale and flat extensions; Henselization; Artin approximation, Morphisms of commutative rings, Singularities in algebraic geometry, Local deformation theory, Artin approximation, etc., Projective and free modules and ideals in commutative rings, Henselian rings A new proof of D. Popescu's theorem on smoothing of ring homomorphisms | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Poncelet-Darboux curve; Marden theorem Dragović, V, Poncelet-Darboux curves, their complete decomposition and marden theorem, Internat. Math. Res. Notes, 2011, 3502-3523, (2011) Special algebraic curves and curves of low genus Poncelet-Darboux curves, their complete decomposition and Marden 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 flat absolute module of differentials; Nagata ring Andr?, M.: Modules des diff?rentielles en caract?ristiquep>0. Manuscr. Math.62, 477-502 (1988) Modules of differentials, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials Modules of differentials 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 parabolic bundle; Chern character; logarithmic connections Iyer, J. N.; Simpson, C. T., The Chern character of a parabolic bundle, and a parabolic corollary of Reznikov's theorem, (Geometry and Dynamics of Groups and Spaces, Progr. Math., vol. 265, (2008), Birkhäuser Basel), 439-485 Algebraic cycles, Algebraic moduli problems, moduli of vector bundles, Structure of families (Picard-Lefschetz, monodromy, etc.), Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Vector bundles on surfaces and higher-dimensional varieties, and their moduli The Chern character of a parabolic bundle, and a parabolic corollary of Reznikov'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 class field theory; \(p\)-divisible groups; rigid analytic geometry; perfectoid spaces Langlands-Weil conjectures, nonabelian class field theory, Automorphic forms and their relations with perfectoid spaces, Geometric Langlands program (algebro-geometric aspects), Local ground fields in algebraic geometry Simple connectedness of fibers of an Abel-Jacobi mapping and local class 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 Galois cohomology; descent; Selmer group; theorem of Mordell-Weil; abelian variety; Iwasawa module; Tate-Shafarevich-group; p-adic zeta function; p-adic analytic group Harris, M, \(p\)-adic representations arising from descent on abelian varieties, Compos. Math., 39, 177-245, (1979) Arithmetic ground fields for abelian varieties, Iwasawa theory, Abelian varieties of dimension \(> 1\), Rational points, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Zeta functions and \(L\)-functions, Galois cohomology, Representations of Lie and linear algebraic groups over global fields and adèle rings \(p\)-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 curves; projective geometry Plane and space curves, Projective techniques in algebraic geometry On two extensions of Poncelet 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 codimension one singularity; homological invariants; principally polarized abelian variety; theta divisors Complex surface and hypersurface singularities, Analytic theory of abelian varieties; abelian integrals and differentials A homological criterion for reducibility of analytic spaces, with application to characterizing the theta divisor of a product of two general principally polarized 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 \(p\)-adic modular forms; overconvergent Hilbert modular forms; Hilbert modular varieties; Goren-Oort stratification; rigid cohomology Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, \(p\)-adic theory, local fields, \(p\)-adic cohomology, crystalline cohomology \(p\)-adic cohomology and classicality of overconvergent Hilbert modular forms | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic automorphisms; endomorphisms; Zariski main theorem; de Rham cohomology Kaliman, S.: On a theorem of ax. Proc. amer. Math. soc. 133, No. 4, 975-977 (2005) Schemes and morphisms, Birational automorphisms, Cremona group and generalizations, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) On a theorem of Ax | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic ring extension; derivations; symbolic powers Commutative ring extensions and related topics, Differential algebra, Perfectoid spaces and mixed characteristic A uniform Chevalley theorem for direct summands of polynomial rings in mixed characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic linearization of automorphism; characteristic p; rational curve; de Jonquière; classifying the embeddings of the line D. Daigle, A property of polynomial curves over a field of positive characteristic, Proc. Amer. Math. Soc. 109 (1990), no. 4, 887 -- 894. Embeddings in algebraic geometry, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Polynomial rings and ideals; rings of integer-valued polynomials A property of polynomial curves over a field of positive characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic algebraic geometry Algebraic functions and function fields in algebraic geometry, Local ground fields in algebraic geometry A note on Hasse-Witt matrices of algebraic curves of positive 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 Arakelov theory; heights; cusp forms; pluripotential theory; Monge-Ampere operators; finite energy functions R. Berman, G. Freixas i Montplet, An arithmetic Hilbert-Samuel theorem for singular Hermitian line bundles and cusp forms. Compos. Math. 150, 1703--1728 (2014) Arithmetic varieties and schemes; Arakelov theory; heights, Modular and Shimura varieties, Holomorphic bundles and generalizations, Complex Monge-Ampère operators An arithmetic Hilbert-Samuel theorem for singular Hermitian line bundles and cusp forms | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic local ring; monomialization; valuation; positive characteristic DOI: 10.1007/s00208-014-1114-7 Global theory and resolution of singularities (algebro-geometric aspects), Birational geometry, Schemes and morphisms, Valuation rings, Excellent rings Counterexamples to local monomialization 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 generators of Cremona group Birational automorphisms, Cremona group and generalizations, Other nonalgebraically closed ground fields in algebraic geometry On relations in the two-dimensional Cremona group over a nonclosed field | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Darmon points; modular abelian varieties; \(p\)-adic logarithm; genus fields Rational points, Abelian varieties of dimension \(> 1\) Quaternionic Darmon points 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 \(p\)-adic cohomology; Monsky Washnitzer cohomology; rigid cohomology; Zeta function \(p\)-adic cohomology, crystalline cohomology, Local ground fields in algebraic geometry, de Rham cohomology and algebraic geometry \(p\)-adic cohomology: from theory to practice | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic symmetric determinantal representation; theta characteristics Ishitsuka, Y., Ito, T.: The local-global principle for symmetric determinantal representations of smooth plane curves in characteristic two. arXiv:1412.8343 Plane and space curves, Higher degree equations; Fermat's equation, Brauer groups of schemes, Positive characteristic ground fields in algebraic geometry, Arithmetic ground fields for abelian varieties, Picard schemes, higher Jacobians The local-global principle for symmetric determinantal representations of smooth plane curves in characteristic two | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic polynomial automorphisms; \(p\)-unipotent automorphisms; triangular automorphisms Group actions on affine varieties, Actions of groups on commutative rings; invariant theory On \(p\)-unipotent triangular automorphisms of polynomial rings in positive characteristic \(p\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(p\)-adic Barsotti-Tate groups; ring of Witt vectors; embedding; Witt bialgebra; Kodaira-Spencer mapping; Gauss-Manin connection; lifting Cristante, Valentino: Witt realization of p-adic Barsotti-Tate groups; some applications. Barsotti symposium in algebraic geometry, 205-216 (1994) Formal groups, \(p\)-divisible groups, Class field theory; \(p\)-adic formal groups, Algebraic theory of abelian varieties Witt realization of the \(p\)-adic Barsotti-Tate groups; some applications | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(L\)-functions; crystalline cohomology Étesse J.-Y. , Relèvement de schémas abéliens, F -isocristaux et fonctions L , Journal für die reine und angewandte Mathematik 535 ( 2001 ) 51 - 63 . MR 1837095 | Zbl 0987.14013 \(p\)-adic cohomology, crystalline cohomology, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Local ground fields in algebraic geometry Lifting of abelian schemes, \(F\)-isocrystals and \(L\)-functions | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic rational points; Manin's conjecture; o-minimality; universal torsor Fano varieties, Model theory of ordered structures; o-minimality, Rational points o-minimality on twisted universal torsors and Manin's conjecture over number fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic semiabelian variety; the Mordell--Lang conjecture; finite field; Frobenius map; F-set Moosa, R.; Scanlon, T., The Mordell-lang conjecture in positive characteristic revisited, (Belair, L.; Chatzidakis, Z.; D'Aquino, P.; Marker, D.; Otero, M.; Point, F.; Wilkie, A., Model theory and applications, Quad. mat., vol. 11, (2002), Dipartimento di Matematica Seconda Università di Napoli), 273-296 Abelian varieties of dimension \(> 1\), Varieties over finite and local fields, Model theory (number-theoretic aspects), Finite ground fields in algebraic geometry The Mordell-Lang conjecture in positive characteristic revisited | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic semialgebraic sets over p-adic fields; curve selection lemma; dimension theory of semialgebraic sets Scowcroft, P; Dries, L, On the structure of semialgebraic sets over \(p\)-adic fields, J. Symb. Logic, 53, 1138-1164, (1988) Real algebraic and real-analytic geometry, Algebraic number theory: local fields On the structure of semialgebraic sets over p-adic fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Benz condition; Minkowski distance; nonstandard Galois field; Weierstrass cubic Euclidean geometries (general) and generalizations, Special algebraic curves and curves of low genus, Elementary problems in Euclidean geometries, Metric geometry, Nonstandard arithmetic and field theory On the validity of a Benz condition for non-standard Galois fields and for \(\mathbb{Q}\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic characteristic polynomial; abelian variety; finite field; Newton polygon S. Haloui, The characteristic polynomials of abelian varieties of dimensions \(3\) over finite fields , Journal of Number Theory 130 (12) (2010), 2745-2752. Finite ground fields in algebraic geometry, Abelian varieties of dimension \(> 1\), Varieties over finite and local fields, Polynomials in number theory The characteristic polynomials of Abelian varieties of dimensions 3 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 density of rational points; function field analogue of the generalized Mordell conjecture K. MAEHARA, On the higher dimensional Mordell conjecture over function fields, Osaka J. Math. 2 (1991), 255-261. Rational points, Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields On the higher dimensional Mordell conjecture over function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic arithmetic \(\mathcal D\)-modules; Euler characteristic \(p\)-adic cohomology, crystalline cohomology The Euler characteristic of arithmetic \(\mathcal D\)-modules on curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Stark-Heegner points; Birch and Swinnerton-Dyer conjecture; genus theory Elliptic curves over global fields, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Rational points Rationality of Darmon points over genus fields of non-maximal orders | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Brauer group of function field; reciprocity sequence; higher-dimensional function fields; smooth projective varieties; threefolds J. -L. Colliot-Thélène, ''On the reciprocity sequence in the higher class field theory of function fields,'' in Algebraic \(K\)-Theory and Algebraic Topology, Dordrecht: Kluwer Acad. Publ., 1993, vol. 407, pp. 35-55. Generalized class field theory (\(K\)-theoretic aspects), Applications of methods of algebraic \(K\)-theory in algebraic geometry, Arithmetic theory of algebraic function fields, Geometric class field theory, Étale and other Grothendieck topologies and (co)homologies On the reciprocity sequence in the higher class field theory of function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Rodier, F.; Sboui, A., LES arrangements minimaux et maximaux d'hyperplans dans \(\mathbb{P}^n(\mathbb{F}_q)\), C. R. math. acad. sci. Paris, 344, 287-290, (2007) Finite ground fields in algebraic geometry, Rational points Minimal and maximal arrangements of hyperplanes in \(\mathbb P^{n}(\mathbb {F}_{q})\) | 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 skew fields; central simple algebras; quaternion algebras; Galois extension; quadratic forms; Merkur'ev theorem; Brauer group Division rings and semisimple Artin rings, Grothendieck groups, \(K\)-theory, etc., Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects), Finite rings and finite-dimensional associative algebras, Brauer groups of schemes The Merkuryev-Suslin theorem | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic étale morphism; essentially finite morphism; valuation ring extension Extension theory of commutative rings, Valuation rings, Local structure of morphisms in algebraic geometry: étale, flat, etc., Valuations and their generalizations for commutative rings, Commutative ring extensions and related topics, Morphisms of commutative rings Some structure theorems for valuation rings | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic points in multiprojective spaces; arithmetically Cohen-Macaulay; linkage Linkage, complete intersections and determinantal ideals, Cohen-Macaulay modules, Ideals and multiplicative ideal theory in commutative rings, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) On the arithmetically Cohen-Macaulay property for sets of points in multiprojective 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 p-adic representation of the absolute Galois group; formal group; elliptic curve; good super-singular reduction Y. Fujiwara, On Galois actions on \(p\)-power torsion points of some one-dimensional formal groups over \(\mathbf F_ p[[t]]\) , J. Algebra 113 (1988), no. 2, 491-510. Formal groups, \(p\)-divisible groups, Formal power series rings, Group actions on varieties or schemes (quotients), Curves in algebraic geometry On Galois actions on p-power torsion points of some one-dimensional formal groups over \({\mathbb{F}}_ p[[t]]\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic algebraic-geometry codes; function field tower; Gilbert-Varshamov bound; Garcia-Stichtenoth tower Aleshnikov, I.; Kumar, V.P.; Shum, K.W.; Stichtenoth, H., On the splitting of places in a tower of function fields meeting the Drinfeld-vlădųt bound, IEEE trans. inf. theory, 47, 4, 1613-1619, (2001) Geometric methods (including applications of algebraic geometry) applied to coding theory, Applications to coding theory and cryptography of arithmetic geometry, Bounds on codes, Arithmetic theory of algebraic function fields On the splitting of places in a tower of function fields meeting the Drinfeld-Vlăduţ bound | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic rigid cohomology; invariant cycle theorem; monodromy operator; semistable reduction; isocrystal \(p\)-adic cohomology, crystalline cohomology, Local ground fields in algebraic geometry, Algebraic cycles On a \(p\)-adic invariant cycles 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 varieties over finite fields; zeta-functions; Brauer-Siegel theorem; rational functions Finite ground fields in algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Varieties over finite and local fields, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Exact enumeration problems, generating functions, Zeta and \(L\)-functions in characteristic \(p\) Asymptotic properties of zeta-functions 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 crystalline cohomology; \(p\)-adic étale cohomology; motives; \(p\)- divisible groups Schneider, P., \(p\)-adic points of motives. Motives (Seattle, WA, 1991), Proc. Sympos. Pure Math. 55, Part 2, 225-249, (1994) \(p\)-adic cohomology, crystalline cohomology, Generalizations (algebraic spaces, stacks), Étale and other Grothendieck topologies and (co)homologies, Formal groups, \(p\)-divisible groups, Étale cohomology, higher regulators, zeta and \(L\)-functions (\(K\)-theoretic aspects) \(p\)-adic points of motives | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic affine Deligne-Lusztig varieties; \(\sigma\)-conjugacy classes; affine Weyl groups Görtz, U.; He, X.; Nie, S., \textit{P}-alcoves and nonemptiness of affine Deligne-Lusztig varieties, Ann. Sci. Éc. Norm. Supér., 48, 647-665, (2015) Homogeneous spaces and generalizations, Grassmannians, Schubert varieties, flag manifolds, Modular and Shimura varieties, \(p\)-adic cohomology, crystalline cohomology, Loop groups and related constructions, group-theoretic treatment, Classical groups (algebro-geometric aspects) \(\mathbf{P}\)-alcoves and nonemptiness of affine Deligne-Lusztig 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 local-global principle; torsors; prosolvable fundamental group Curves of arbitrary genus or genus \(\ne 1\) over global fields, Coverings of curves, fundamental group A local-global principle for torsors under geometric prosolvable fundamental groups. II | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic algebraic surfaces in positive characteristic; elliptic surfaces; elliptic curves; non-rational unirational elliptic surfaces; Weierstrass equations Special surfaces, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Families, moduli, classification: algebraic theory, Structure of families (Picard-Lefschetz, monodromy, etc.), Global ground fields in algebraic geometry 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 Siegel disk; ergodic; invariant set; fixed point; rational dynamical systems; complex \(p\)-adic field Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps, Ergodicity, mixing, rates of mixing, Relations between ergodic theory and number theory, Rational and birational maps, \(p\)-adic theory \(p\)-adic dynamical systems of \((3,1)\)-rational functions with unique fixed point | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(q\)-analogue; \(b\)-functions; difference system; Jackson integrals [A3] Aomoto, K.: Finiteness of a cohomology associated with certain Jackson integrals. Tôhoku Math. J.43, 75--101 (1991) Basic hypergeometric integrals and functions defined by them, Elliptic curves, Theta functions and abelian varieties, Almost homogeneous manifolds and spaces, General theory of automorphic functions of several complex variables Finiteness of a cohomology associated with certain Jackson 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 Noether's problem; rationality problem; inverse Galois problem; \(p\)-group actions Hu, S. -J.; Kang, M.: Noether's problem for some p-groups. Progr. math. 282, 149-162 (2010) Transcendental field extensions, Rationality questions in algebraic geometry, Actions of groups on commutative rings; invariant theory, Inverse Galois theory Noether's problem for some \(p\)-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 Galois cohomology; étale and other Grothendieck topologies and cohomologies; affine algebraic groups Galois cohomology, Étale and other Grothendieck topologies and (co)homologies, Affine algebraic groups, hyperalgebra constructions A duality theorem for Tate-Shafarevich groups of curves over algebraically closed 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 APN functions; finite fields; absolute irreducible polynomials Polynomials in general fields (irreducibility, etc.), Computational aspects of algebraic surfaces, Algebraic coding theory; cryptography (number-theoretic aspects) On the irreducibility of the hyperplane sections of Fermat varieties in \(\mathbb {P}^{3}\) in characteristic 2. 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 nonexistence of certain level structures on abelian varieties; g-Siegel upper-half plane; complex function field; compactifications of bounded symmetric domains A. M. Nadel, ``The nonexistence of certain level structures on abelian varieties over complex function fields'', Ann. of Math. (2)129 (1989) no. 1, p. 161-178 Analytic theory of abelian varieties; abelian integrals and differentials, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) The nonexistence of certain level structures on abelian varieties over complex function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic elliptic curve; rational functions; rational points; encoding algorithm; parity check matrix; self-dual codes; decoding Driencourt, Y.: Some properties of elliptic codes over a field of characteristic 2, Lecture notes in comput. Sci. 229, 185-193 (1986) Arithmetic codes, Decoding, Elliptic curves Some properties of elliptic codes over a field of characteristic 2 | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic valued function fields; good reduction; regular functions; reciprocity lemma; unit; local symbols; local-global principle; solvability of diophantine equations P. Roquette, \textsl Reciprocity in valued function fields, Journal für die reine und angewandte Mathematik 375/376 (1987), 238--258. Arithmetic theory of algebraic function fields, Valued fields, Algebraic functions and function fields in algebraic geometry, Diophantine equations Reciprocity in valued 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 \(p\)-adic subanalytic sets; restricted measure; normalized Haar measure Willem Veys, Reduction modulo \?\(^{n}\) of \?-adic subanalytic sets, Math. Proc. Cambridge Philos. Soc. 112 (1992), no. 3, 483 -- 486. Semi-analytic sets, subanalytic sets, and generalizations, Local ground fields in algebraic geometry Reduction modulo \(p^ n\) of \(p\)-adic subanalytic 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 Riemann-Roch theorem; Lefschetz theorem; group actions; \(\gamma\)-filtration; equivariant \(K_0\)-theory; Grothendieck groups; Bott cannibalistic class; Adams operation T. Chinburg, B. Erez, G. Pappas, and M. J. Taylor, ''Riemann-Roch type theorems for arithmetic schemes with a finite group action,'' J. Reine Angew. Math., vol. 489, pp. 151-187, 1997. \(K\)-theory of schemes, Riemann-Roch theorems, Applications of methods of algebraic \(K\)-theory in algebraic geometry, \(K_0\) of group rings and orders Riemann-Roch type theorems for arithmetic schemes with a finite group action | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic curves in projective spaces; index of speciality; complete intersection Gennaro, V; Franco, D, A speciality for curves in \({\mathbb{P}}^5\), Geom. Dedicata, 129, 89-99, (2007) Plane and space curves, Projective techniques in algebraic geometry, Complete intersections A speciality theorem for curves in \(\mathbb P^5\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Wolfart, J., \textit{ABC} for polynomials, dessins d'enfants and uniformization - a survey, (Elementare und analytische Zahlentheorie. Elementare und analytische Zahlentheorie, Schr. Wiss. Ges. Johann Wolfgang Goethe Univ. Frankfurt am Main, vol. 20, (2006), Franz Steiner Verlag Stuttgart: Franz Steiner Verlag Stuttgart Stuttgart), 313-345 Arithmetic aspects of dessins d'enfants, Belyĭ theory, Dessins d'enfants theory, Arithmetic ground fields for curves, Coverings of curves, fundamental group, Riemann surfaces; Weierstrass points; gap sequences, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Compact Riemann surfaces and uniformization, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Planar graphs; geometric and topological aspects of graph theory \(ABC\) for polynomials, dessins d'enfants, and uniformization -- 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 Algebraic theory of quadratic forms; Witt groups and rings, Global ground fields in algebraic geometry The Hasse principle for Witt groups of function fields of special elliptic curves, and the 2-torsion of their Shafarevich-Tate 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 local cohomology; \({\mathcal D}\)-module; positive characteristic; \({\mathcal D}\)-affinity; flag manifolds; non-vanishing Kashiwara, M.; Lauritzen, N., Local cohomology and \(\mathcal{D}\)-affinity in positive characteristic, C. R. Acad. Sci. Paris, Ser. I, 335, 993-996, (2002) Vanishing theorems in algebraic geometry, Finite ground fields in algebraic geometry, Local cohomology and commutative rings, Grassmannians, Schubert varieties, flag manifolds Local cohomology and \(\mathcal D\)-affinity 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 projective curve; étale sheaf; finite Galois covering; explicit formula; Euler-Poincaré characteristic; Drinfeld modular curves Pink, R.: Euler-Poincaré formula in equal characteristic under ordinariness assumptions. Manuscripta Mathematica 102, 1-24 (2000) Curves over finite and local fields, Étale and other Grothendieck topologies and (co)homologies, \(p\)-adic cohomology, crystalline cohomology Euler-Poincaré formula in equal characteristic under ordinariness assumptions | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Zeta and \(L\)-functions in characteristic \(p\), Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Arithmetic theory of algebraic function fields \(L\)-functions of function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Nevanlinna theory; Second Main Theorem Dethloff, G.E., Tan, T.V., Thai, D.D.: An extension of the Cartan--Nochka second main theorem for hypersurfaces. Int. J. Math. 22, 863--885 (2011) Value distribution theory in higher dimensions, Meromorphic mappings in several complex variables, Picard-type theorems and generalizations for several complex variables, Hypersurfaces and algebraic geometry An extension of the Cartan-Nochka Second Main Theorem for hypersurfaces | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic local-global principle; \(p\)-adic function fields; arithmetic duality; Galois cohomology; tori Harari, D.; Szamuely, T., Local-global questions for tori over \(p\)-adic function fields, J. Algebr. Geom., 25, 571-605, (2016) Rational points, Curves over finite and local fields, Local ground fields in algebraic geometry Local-global questions for tori 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 deformation; exceptional divisor; \(D_ n\); \(E_ n\); 3-dimensional singularities; vanishing theorems; local moduli of the exceptional loci; canonical resolution; \(A_ n\) Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Singularities of surfaces or higher-dimensional varieties Some properties of the canonical resolutions of the 3-dimensional singularities \(A_ n\), \(D_ n\), \(E_ n\) over a field of characteristic \(\neq 2\) | 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 Hilbert modular forms and varieties; congruences of modular forms; Sturm's theorem; toroidal and minimal compactifications; intersection numbers Automorphic forms on \(\mbox{GL}(2)\); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces, Fourier coefficients of automorphic forms, Congruences for modular and \(p\)-adic modular forms, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry An analogue of Sturm's theorem for Hilbert modular forms | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic global function fields; Eichler orders; quotient graphs; vector bundles Vector bundles on curves and their moduli, Finite ground fields in algebraic geometry, Arithmetic theory of algebraic function fields, Groups acting on trees On genera containing non-split Eichler orders 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 discrete Wronski map; B. and M. Shapiro conjecture; Bethe ansatz; \(XXX\) model \beginbarticle \bauthor\binitsE. \bsnmMukhin, \bauthor\binitsE. \bsnmTarasov and \bauthor\binitsA. \bsnmVarchenko, \batitleOn reality property of Wronski maps, \bjtitleConfluentes Math. \bvolume1 (\byear2009), no. \bissue2, page 225-\blpage247. \endbarticle \OrigBibText E. Mukhin. E. Tarasov and A. Varchenko, On reality property of Wronski maps, Confluentes Math. 1 (2009), no. 2, 225-247. \endOrigBibText \bptokstructpyb \endbibitem Groups and algebras in quantum theory and relations with integrable systems, Real algebraic sets, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, Exactly solvable models; Bethe ansatz On reality property of 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 Weil-étale cohomology Geisser, Thomas Arithmetic cohomology over finite fields and special values of ##img##-functions \textit{Duke Math. J.}133 (2006) 27--57 Math Reviews MR2219269 Étale and other Grothendieck topologies and (co)homologies, Motivic cohomology; motivic homotopy theory, Varieties over finite and local fields Arithmetic cohomology over finite fields and special values of \(\zeta\)-functions | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(p\)-adic fields; differential character; abelian scheme; theorem of the kernel; arithmetic jet theory Buium, Alexandru, Differential characters of abelian varieties over \textit{p}-adic fields, Invent. Math., 122, 1, 309-340, (1995) Arithmetic ground fields for abelian varieties, Modules of differentials, Local ground fields in algebraic geometry Differential characters of abelian varieties over \(p\)-adic fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic automorphic forms on function fields; automorphic cuspidal module; filtration on the moduli stack of shtukas; absolute values of the complex Hecke eigenvalues; full trace formula; residual spectrum Representation-theoretic methods; automorphic representations over local and global fields, Formal groups, \(p\)-divisible groups On the Ramanujan-Petersson conjecture over function fields. II: Spectral study | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Jacobian conjecture; unimodular conjecture; \(p\)-adic integers Jacobian problem, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) A \(p\)-adic approach to the Jacobian 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 prime ideal; symbolic power; associated graded ring; analytic spread; hypersurface rings Huckaba, Sam, Symbolic powers of prime ideals with applications to hypersurface rings, Nagoya Math. J., 113, 161-172, (1989) Ideals and multiplicative ideal theory in commutative rings, Relevant commutative algebra Symbolic powers of prime ideals with applications to hypersurface 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 arithmetically Cohen-Macaulay curve; curve with maximal rank; Cohen- Macaulay type; hypersurface section Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Cohen-Macaulay modules, Plane and space curves On lifting results for the property of being arithmetically Cohen- Macaulay | 0 |
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