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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 theta divisor; representations of finite nilpotent groups Raynaud, M., Revêtements des courbes en caractéristique \textit{p}> 0 et ordinarité, Compos. Math., 123, 1, 73-88, (2000) Coverings of curves, fundamental group, Arithmetic ground fields for curves, Jacobians, Prym varieties Coverings of curves in characteristic \(p>0\) and ordinariness | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Tamagawa numbers; Weil's Conjecture; moduli stack Research exposition (monographs, survey articles) pertaining to algebraic geometry, \(p\)-adic cohomology, crystalline cohomology, Arithmetic theory of algebraic function fields, Vector bundles on curves and their moduli, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Algebraic functions and function fields in algebraic geometry, Algebraic moduli problems, moduli of vector bundles Weil's conjecture for function fields: volume I | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic zeta function over function fields; Northcott property Zeta functions and \(L\)-functions of function fields, Arithmetic theory of algebraic function fields, Curves over finite and local fields, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) On the Northcott property of zeta functions 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 class numbers; function fields; mean values of \(L\)-functions Andrade, J. C., A note on the mean value of \textit{L}-functions in function fields, Int. J. Number Theory, 8, 7, 1725-1740, (2012) Class numbers, class groups, discriminants, Arithmetic theory of algebraic function fields, Curves over finite and local fields, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) A note on the mean value of \(L\)-functions in function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic gauged sheaves over global field; adeles; divisors; metrized line bundle; Haar measures; Riemann-Roch formula; Serre duality Adèle rings and groups, Global ground fields in algebraic geometry, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry The Riemann-Roch theorem and algebraic number fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(\log\) geometry; \(\log\) \(\mathcal D\)-module; Higgs module; cartier transform Ohkawa, S, On logarithmic nonabelian Hodge theory of higher level in characteristic \(p\), Rend. Sem. Mat. Univ. Padova., 134, 47-91, (2015) Positive characteristic ground fields in algebraic geometry, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, \(p\)-adic cohomology, crystalline cohomology, Sheaves of differential operators and their modules, \(D\)-modules On logarithmic nonabelian Hodge theory of higher level in characteristic \(p\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic purely inseparable extensions; differential forms; Artin-Schreier-map; annihilator Modules of differentials, Inseparable field extensions, Differential algebra, (Co)homology theory in algebraic geometry Annihilators of differential forms over fields of characteristic \(p\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic rational point; permutation polynomial Rational points, Arithmetic theory of polynomial rings over finite fields A property of polynomial functions over fields and its 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 Zoghman Mebkhout, La théorie des équations différentielles \?-adiques et le théorème de la monodromie \?-adique, Proceedings of the International Conference on Algebraic Geometry and Singularities (Spanish) (Sevilla, 2001), 2003, pp. 623 -- 665 (French, with English summary). \(p\)-adic differential equations, Galois representations, \(p\)-adic cohomology, crystalline cohomology, Structure of families (Picard-Lefschetz, monodromy, etc.) The theory of \(p\)-adic differential equations and the \(p\)-adic monodromy 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 towers of function fields; asymptotically good towers; Drinfeld-Vladut bound; Artin-Schreier extension; long algebraic-geometric codes with good parameters García, A.; Stichtenoth, H., On the asymptotic behaviour of some towers of function fields over finite fields, J. Number Theory, 61, 248-273, (1996) Arithmetic theory of algebraic function fields, Curves over finite and local fields, Finite ground fields in algebraic geometry, Arithmetic ground fields for curves, Geometric methods (including applications of algebraic geometry) applied to coding theory On the asymptotic behaviour of some towers of function fields over finite fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Special varieties, Varieties and morphisms A dimension theorem for real primes | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic non-abelian \(H^2\)-cohomology sets of algebraic groups; local-global principle; real spectrum; homogeneous spaces Flicker, Y.Z.; Scheiderer, C.; Sujatha, R., Grothendieck's theorem on non-abelian \(H^2\) and local-global principles, J. amer. math. soc., 11, 3, 731-750, (1998) Étale and other Grothendieck topologies and (co)homologies, Galois cohomology, Cohomology theory for linear algebraic groups, Forms over real fields Grothendieck's theorem on non-abelian \(H^2\) and local-global principles | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic fundamental group; Riemann-Roch; Riemann surfaces Coverings in algebraic geometry, Coverings of curves, fundamental group, Compact Riemann surfaces and uniformization, Riemann-Roch theorems On the decomposition of the fundamental group and the 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 Langlands duality; Hitchin fibration; \(D\)-modules in characteristic \(p\) T.H. Chen and X. Zhu. Geometric Langlands in prime characteristic. (2014). arXiv:1403.3981. Geometric Langlands program (algebro-geometric aspects), Geometric Langlands program: representation-theoretic aspects Geometric Langlands in prime characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic integral points; function fields; Diophantine equations Lattice points in specified regions, Algebraic functions and function fields in algebraic geometry On the Bombieri-Pila method 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 Brauer groups of schemes, \(p\)-adic cohomology, crystalline cohomology Resolutions with conical slices and descent for the Brauer group classes of certain central reductions of differential operators 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 rational surface; divisor; curves in a surface; number of moduli; plane curve; Castelnuovo's inequality; trigonal locus Castorena, A.; Ciliberto, C.: On a theorem of Castelnuovo and applications to moduli, Kyoto J. Math. 51, No. 3, 633-645 (2011) Rational and ruled surfaces, Divisors, linear systems, invertible sheaves, Families, moduli of curves (algebraic) On a theorem of Castelnuovo and applications to moduli | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic prehomogeneous vector spaces; characteristic p Zhi Jie Chen, A classification of irreducible prehomogeneous vector spaces over an algebraically closed field of characteristic \?. II, Chinese Ann. Math. Ser. A 9 (1988), no. 1, 10 -- 22 (Chinese). Homogeneous spaces and generalizations, Finite ground fields in algebraic geometry A classification of irreducible prehomogeneous vector spaces over an algebraically closed field of characteristic p. 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 Tamagawa, A.: Unramified Skolem problems and unramified arithmetic Bertini theorems in positive characteristic. Documenta Mathematica, Extra Volume: Kazuya Kato's Fiftieth Birthday, pp. 789--831 (2003) Finite ground fields in algebraic geometry, Varieties over global fields, Varieties over finite and local fields, Global ground fields in algebraic geometry, Arithmetic ground fields for curves Unramified Skolem problems and unramified arithmetic Bertini theorems 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 Diophantine set; rationally connected variety Kollár, János: Which powers of holomorphic functions are integrable?, (2008) Decidability (number-theoretic aspects), Global ground fields in algebraic geometry, Other nonalgebraically closed ground fields in algebraic geometry, Rational and unirational varieties Diophantine subsets of function fields of 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 Mallick, V. M., \textit{roitman's theorem for singular projective varieties in arbitrary characteristic}, J. K-Theory, 3, 501-531, (2009) Algebraic cycles, Picard groups, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects) Roitman's theorem for singular projective varieties in arbitrary 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 singularities in positive characteristic; jet schemes; minimal log discrepancy Singularities in algebraic geometry, Arcs and motivic integration, Deformations of singularities Inversion of ``modulo \(p\) reduction'' and a partial descent from characteristic 0 to 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 vector bundle; dimension of 0-loci; singular loci; classification of arithmetically Buchsbaum curves Walter, C, Transversality theorems in general characteristic and arithmetically Buchsbaum schemes, Internat. J. Math., 5, 609-617, (1994) Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Finite ground fields in algebraic geometry Transversality theorems in general characteristic and arithmetically Buchsbaum schemes | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic ABC conjecture; quadratic twists; Hasse principle Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points ABC and the Hasse principle for quadratic twists of hyperelliptic curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Varieties over finite and local fields, Finite ground fields in algebraic geometry, Singularities in algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), \(p\)-adic cohomology, crystalline cohomology A note on Riemann hypothesis for curves and hypersurfaces 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 Diophantine approximation; arithmetic function field; Roth's theorem; Thue-Siegel method Approximation to algebraic numbers, Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.), Arithmetic varieties and schemes; Arakelov theory; heights Roth's theorem over arithmetic 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 Bertini type theorems; general section; vector bundle M. L. Spreafico,Bertini Type Theorems for vector bundles in any characteristics, Comm. in Alg.,24 (1996), pp. 4147--4157. Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry Bertini type theorems for vector bundles in any characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Gersten resolution; étale cohomology; Gabber's purity theorem Étale and other Grothendieck topologies and (co)homologies, Motivic cohomology; motivic homotopy theory A Nisnevich local Bloch-Ogus theorem over a general base | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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 \(p\)-covers; torsionless fundamental group; group acting on scheme; \(p\)-ranks of smooth projective curves; characteristic \(p\); Euler-Poincaré characteristic; singular Enriques surface Crew, Richard M., Etale \(p\)-covers in characteristic \(p\), Compositio Math., 52, 1, 31-45, (1984) Coverings in algebraic geometry, \(p\)-adic cohomology, crystalline cohomology, Homotopy theory and fundamental groups in algebraic geometry, Finite ground fields in algebraic geometry, Arithmetic ground fields for surfaces or higher-dimensional varieties, Group actions on varieties or schemes (quotients) Étale \(p\)-covers 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 Brauer group of field extension; Ulm invariants B. Fein and M. Schacher,Brauer groups of function fields II, J. Algebra87 (1984), 510--534. Brauer groups of schemes, Galois cohomology, Galois cohomology, Transcendental field extensions Brauer groups and character groups of function fields. 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 Galois wildly ramified covers of the projective line; characteristic p; monodromy; branch cycles; supersingular p-covers; fundamental group Coverings of curves, fundamental group, Local ground fields in algebraic geometry, Coverings in algebraic geometry Ordinary and supersingular covers 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 differential forms; complete intersection; Euler characteristic Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Complete intersections On the cohomology of complete intersections with coefficients in the twisted sheaf of differential forms in the case of prime characteristics | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Mordell-Weil group; abelian variety; Iwasawa algebra; universal norms of a commutative formal group; rational points of a toroidal formal group; \({\mathbb{Z}}_ p\)-extension; complex multiplication Wingberg, K, On the rational points of abelian varieties over \({\mathbb{Z}}_{p}\)-extensions of number fields, Math. Ann., 279, 9-24, (1987) Arithmetic ground fields for abelian varieties, Rational points, Cyclotomic extensions, Complex multiplication and abelian varieties, Formal groups, \(p\)-divisible groups On the rational points of abelian varieties over \({\mathbb{Z}}_ p\)- extensions of 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 Seshadri constants; nef line bundles; Seshadri curves Divisors, linear systems, invertible sheaves, Parametrization (Chow and Hilbert schemes), Rational points Seshadri constants over fields of characteristic zero | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Hermitian form; \(u\)-invariant; \(p\)-adic curve Bilinear and Hermitian forms, Quadratic forms over general fields, Algebraic theory of quadratic forms; Witt groups and rings, Algebraic functions and function fields in algebraic geometry, Finite-dimensional division rings, Rings with involution; Lie, Jordan and other nonassociative structures Hermitian \(u\)-invariants over function fields of \(p\)-adic curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic rational points over complex function fields; rationally connected manifolds; special manifolds; manifolds of general type Local theory in algebraic geometry, Rationality questions in algebraic geometry, Other nonalgebraically closed ground fields in algebraic geometry, Rationally connected varieties Rational points over complex function fields: remarks on isotriviality and dominatedness | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic motivic homotopy theory; slice filtration; motivic cohomology; algebraic \(K\)-theory; Hermitian \(K\)-theory; higher Witt-theory; quadratic forms over rings of integers; special values of Dedekind \(\zeta \)-functions of number fields \(K\)-theory of global fields, Zeta functions and \(L\)-functions of number fields, Motivic cohomology; motivic homotopy theory, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Étale cohomology, higher regulators, zeta and \(L\)-functions (\(K\)-theoretic aspects) Hermitian \(K\)-theory, Dedekind \(\zeta \)-functions, and quadratic forms over rings of integers in 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 Donkin, S.: A note on the characters of the cohomology of induced vector bundles. J. algebra 258, 255-274 (2002) Grassmannians, Schubert varieties, flag manifolds, Representation theory for linear algebraic groups, Cohomology theory for linear algebraic groups A note on the characters of the cohomology of induced vector bundles on \(G\)/\(B\) 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 Singularities of curves, local rings, Plane and space curves Note on equisingularity in codimension 1 and characteristic \(p\neq 0\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Families, moduli, classification: algebraic theory, Elliptic surfaces, elliptic or Calabi-Yau fibrations Enriques' classification in characteristic \(P>0\): the \(P_{12}\)-theorem | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(p\)-adic height on a curve Robert F. Coleman, The universal vectorial bi-extension and \?-adic heights, Invent. Math. 103 (1991), no. 3, 631 -- 650. , https://doi.org/10.1007/BF01239529 Robert F. Coleman, Duality for the de Rham cohomology of an abelian scheme, Ann. Inst. Fourier (Grenoble) 48 (1998), no. 5, 1379 -- 1393 (English, with English and French summaries). Arithmetic varieties and schemes; Arakelov theory; heights, Local ground fields in algebraic geometry The universal vectorial bi-extension and \(p\)-adic heights | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Singularities in algebraic geometry, Singularities of surfaces or higher-dimensional varieties, Complex surface and hypersurface singularities On an analog of Pinkham's theorem for non-Tjurina components of rational singularities | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic automorphism groups; rational points; maximal curves; function fields Bassa, A.; Ma, L.; Xing, C.; Yeo, S. L., Toward a characterization of subfields of the Deligne-Lusztig function fields, \textit{J. Comb. Theory Ser. A}, 120, 1351-1371, (2013) Combinatorial aspects of representation theory, Curves over finite and local fields, Finite ground fields in algebraic geometry, Automorphisms of curves, Arithmetic theory of algebraic function fields Towards a characterization of subfields of the Deligne-Lusztig 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 Riemann hypothesis for a curve over a finite field; zeta function of a curve over a finite field; two-variable zeta function Zeta and \(L\)-functions in characteristic \(p\), Nonreal zeros of \(\zeta (s)\) and \(L(s, \chi)\); Riemann and other hypotheses, Curves over finite and local fields, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) The two-variable zeta function and the Riemann hypothesis for function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic fundamental group; algebraic curve; \(p\)-adic field Local ground fields in algebraic geometry, Modular and Shimura varieties, Coverings of curves, fundamental group Comparison of some quotients of fundamental groups of algebraic curves 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 Ci-fields; decidability of theory of Ax-fields J. Denef, M. Jarden and D. J. Lewis, On Ax-fields which are C 1, The Quarterly Journal of Mathematics. Oxford. Second Series 34 (1983), 21--36. General field theory, Decidability and field theory, Quadratic forms over general fields, Decidability of theories and sets of sentences, Model-theoretic algebra, Rational points, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Model theory of fields On Ax-fields which are \(C_ i\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Rolle leaves; o-minimality; Pfaffian functions; o-minimal expansions of \(\mathbb{R}\); Pfaffian closure Karpinski, M., Macintyre, A.: A generalization of Wilkie's theorem of the complement, and an application to Pfaffian closure. Selecta Math. (N.S.) 5, 507--516 (1999) Model theory of ordered structures; o-minimality, Semialgebraic sets and related spaces A generalization of Wilkie's theorem of the complement, and an application to Pfaffian closure | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic heights for function fields; the Bogomolov conjecture Heights, Positive characteristic ground fields in algebraic geometry, Abelian varieties of dimension \(> 1\) A Bogomolov type statement for functions fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Formal groups, \(p\)-divisible groups, Other nonanalytic theory, Banach algebras of continuous functions, function algebras, Functional analysis over fields other than \(\mathbb{R}\) or \(\mathbb{C}\) or the quaternions; non-Archimedean functional analysis Invariant functions on \(p\)-divisible groups and the \(p\)-adic corona problem | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic differential field; algebraic group; formal group; transcendence degree P. Kowalski, A note on a theorem of Ax, Annals of Pure and Applied Logic 156 (2008), 96--109. Model-theoretic algebra, Differential algebra, Formal groups, \(p\)-divisible groups A note 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 \(abc\) conjecture; diophantine conjecture for algebraic points of bounded degree Vojta, Paul, A more general \(abc\) conjecture, Internat. Math. Res. Notices, 21, 1103-1116, (1998) Diophantine equations, Arithmetic algebraic geometry (Diophantine geometry), Linear Diophantine equations, Arithmetic problems in algebraic geometry; Diophantine geometry A more general \(abc\) conjecture | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic birational anabelian; algebraically closed fields; absolute Galois group; function fields; Galois-type correspondence Elliptic curves over global fields, Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), Algebraic functions and function fields in algebraic geometry A birational anabelian reconstruction theorem for curves over algebraically closed fields in arbitrary 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 Euler characteristic; Galois module structure; generalization of Taylor's theorem; arithmetic schemes of arbitrary dimension; class group invariant; deRham cohomology; \(\varepsilon\)-factors Chinburg, T.; Pappas, G.; Taylor, M. J.: {\(\epsilon\)}-constants and the Galois structure of de Rham cohomology. II. J. reine angew. Math. 519, 201-230 (2000) Integral representations related to algebraic numbers; Galois module structure of rings of integers, de Rham cohomology and algebraic geometry, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Arithmetic varieties and schemes; Arakelov theory; heights \(\varepsilon\)-constants and the Galois structure of de Rham cohomology. 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 maximal Cohen-Macaulay module; isolated singularity; higher order syzygy; matrix factorization; mapping cone; formal power series; Thom-Sebastiani problems O'carroll, L.; Popescu, D.: On a theorem of knörrer concerning Cohen-Macaulay modules, J. pure appl. Algebra 152, No. 1-3, 293-302 (2000) Cohen-Macaulay modules, Singularities in algebraic geometry, Deformations of singularities, Formal power series rings On a theorem of Knörrer concerning Cohen-Macaulay modules | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic model theory of local fields Model theory of fields, Model-theoretic algebra, Local ground fields in algebraic geometry, Other nonanalytic theory, Non-Archimedean valued fields Elementary equivalence and codimension in 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 polynomial invariants of finite groups; covariants; characteristic \(p\); complete intersections Mara D. Neusel, Invariants of some abelian \?-groups in characteristic \?, Proc. Amer. Math. Soc. 125 (1997), no. 7, 1921 -- 1931. Actions of groups on commutative rings; invariant theory, Linkage, complete intersections and determinantal ideals, Complete intersections Invariants of some abelian \(p\)-groups 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 Bogomolov conjecture; function field; metrized graph; tau constant Z. Cinkir, Zhang's conjecture and the effective Bogomolov conjecture over function fields, Invent. Math. 183 (2011), no. 3, 517-562. Arithmetic varieties and schemes; Arakelov theory; heights, Global ground fields in algebraic geometry, Algebraic functions and function fields in algebraic geometry, Arithmetic ground fields for curves Zhang's conjecture and the effective Bogomolov 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 complete intersection; zero-cycle; Cayley-Bacharach theorem; hypersurfaces Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Hypersurfaces and algebraic geometry, Complete intersections A remark on the theorem of Cayley-Bacharach | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic A. Surroca. \textit{Sur l'effectivité du théorème de Siegel et la conjecture abc}. J. Number Theory, \textbf{124} (2007), 267-290. Higher degree equations; Fermat's equation, Arithmetic ground fields for curves, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Heights, Linear forms in logarithms; Baker's method Effectiveness of Siegel's theorem and the abc conjecture | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Hilbert function of a Cohen-Macaulay homogeneous domain; positive characteristic; Hilbert function of a general hyperplane section; strange curve; trisecant lemma E. Ballico and K. Yanagawa, On the \?-vector of a Cohen-Macaulay domain in positive characteristic, Comm. Algebra 26 (1998), no. 6, 1745 -- 1756. Plane and space curves, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Projective techniques in algebraic geometry, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Finite ground fields in algebraic geometry On the \(h\)-vector of a Cohen-Macaulay domain in positive characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic inverse Galois problem; canonical form; linear automorphisms; monomial automorphisms; fields of rational functions; survey Hajja, M.: Linear and monomial automorphisms of fields of rational functions: some elementary issues, Algebra and number theory (2000) Inverse Galois theory, Research exposition (monographs, survey articles) pertaining to field theory, Transcendental field extensions, Actions of groups on commutative rings; invariant theory, Rationality questions in algebraic geometry Linear and monomial automorphisms of fields of rational functions: Some elementary issues | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Langlands correspondence; shtukas Langlands-Weil conjectures, nonabelian class field theory, Modular and Shimura varieties, Vector bundles on curves and their moduli, Representation-theoretic methods; automorphic representations over local and global fields Shtukas for reductive groups and Langlands correspondence for function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic corrected version; Weil decomposition theorem; heights; Hilbert irreducibility theorem; G-functions; arithmetic on algebraic varieties P. Debes , Quelques remarques sur un article de Bombieri concernant le Théorème de Décomposition de Weil , Amer. J. Math. 107 ( 1985 ), 39 - 44 . MR 778088 | Zbl 0563.12010 Polynomials (irreducibility, etc.), Heights, Hilbertian fields; Hilbert's irreducibility theorem, Global ground fields in algebraic geometry, Arithmetic ground fields for curves Some remarks on an article of Bombieri concerning the Weil decomposition 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 function field of positive characteristic; arithmetic fundamental group; Galois representation; automorphic representation G. Böckle and C. Khare, Finiteness results for mod \(l\) Galois representations over function fields, Galois representations, Representation-theoretic methods; automorphic representations over local and global fields, Coverings of curves, fundamental group, Galois cohomology Mod \(\ell\) representations of arithmetic fundamental groups. I: An analog of Serre's conjecture for function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Complete intersections, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials On cohomology of complete intersections with coefficients in the twisted sheaf of differential forms in the case of prime characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Heegner points; Hilbert modular forms Greenberg, [Greenberg 09] M., Stark-Heegner points and the cohomology of quaternionic Shimura varieties, \textit{Duke Math. J.}, 147, 3, 541-575, (2009) Arithmetic aspects of modular and Shimura varieties, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Rational points, Modular and Shimura varieties, Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols Stark-Heegner points and the cohomology of quaternionic Shimura 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 complex Banach manifold; infinite-dimensional projective space; monodromy group; Bertini theorem Banach analytic manifolds and spaces, Rational and birational maps Monodromy groups and a theorem of Bertini for complex Banach analytic projective 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 generalized power series; Łojasiewicz exponent; parametrization; Newton polygon method Brzostowski, S; Rodak, T, The łojasiewicz exponent over a field of arbitrary characteristic, Rev. Math. Complut., 28, 487-504, (2015) Formal power series rings, Singularities in algebraic geometry, Invariants of analytic local rings The Łojasiewicz exponent over a field of arbitrary 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 unipotent rank; toric rank; abelian rank; Néron model of an abelian variety Edixhoven, Bas, On the prime-to-\(p\) part of the groups of connected components of Néron models, Special issue in honour of Frans Oort. Compositio Math., 0010-437X, 97, 1-2, 29-49, (1995) Algebraic theory of abelian varieties On the prime-to-\(p\) part of the groups of connected components of Néron models | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic local functional equation; Fourier transform; group scheme; Cartier duality Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), Formal groups, \(p\)-divisible groups Note on \(p\)-adic local functional equation | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic surface, projective, nonsingular; adjoint divisors; nonvanishing theorems Jungkai Alfred Chen, Meng Chen, and De-Qi Zhang, A non-vanishing theorem for \Bbb Q-divisors on surfaces, J. Algebra 293 (2005), no. 2, 363 -- 384. Divisors, linear systems, invertible sheaves, Vanishing theorems in algebraic geometry, Surfaces and higher-dimensional varieties A non-vanishing theorem for \(\mathbb{Q}\)-divisors on surfaces | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic global function fields; quadratic Bateman-Horn conjecture; parity barrier; Chowla conjecture; Möbius function; Dirichlet characters; trace functions; short character sums; étale cohomology Quadratic forms over global rings and fields, Varieties over global fields, Estimates on character sums, Primes represented by polynomials; other multiplicative structures of polynomial values, Asymptotic results on arithmetic functions, Goldbach-type theorems; other additive questions involving primes, Arithmetic theory of algebraic function fields, Étale and other Grothendieck topologies and (co)homologies, Global ground fields in algebraic geometry, Arithmetic varieties and schemes; Arakelov theory; heights, Arithmetic ground fields for surfaces or higher-dimensional varieties Möbius cancellation on polynomial sequences and the quadratic Bateman-Horn 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 Hermite-Joubert problem; étale algebra; hypersurface; rational point; \(p\)-closed field; elliptic curve Separable extensions, Galois theory, Hypersurfaces and algebraic geometry, Rational points, Elliptic curves over global fields The Hermite-Joubert problem over \(p\)-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 differential equations; Bezout theorem; diophantine geometry Differential algebra, Model-theoretic algebra, Rational points Bezout-type theorems for differential 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 Tate-Poitou theorem; duality; finite groups Douai, J. C.: Le théorème de Tate-poitou pour LES corps de fonctions des courbes définies sur LES corps locaux de dimension N. J. algebra 125, 181-196 (1989) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry Le théorème de Tate-Poitou pour les corps de fonctions des courbes définies sur les corps locaux de dimension N. (The Tate-Poitou theorem for function fields of curves defined over local fields of dimension N) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Hamiltonian system; quantum cohomology; Toda lattice; flag manifold; Dubrovin connection A.-L. Mare, ``On the theorem of Kim concerning \(QH^*(G/B)\)'' in Integrable Systems, Topology, and Physics (Tokyo, 2000) , Contemp. Math. 309 , Amer. Math. Soc., Providence, 2002, 151--163. Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Grassmannians, Schubert varieties, flag manifolds On the theorem of Kim concerning \(QH^*(G/B)\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic stable bundle; flat connection; mod 2 cohomology Vector bundles on curves and their moduli, Algebraic topology on manifolds and differential topology Newstead's Mayer-Vietoris argument in characteristic 2 | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(\mathcal D\)-module; Frobenius morphisms; \(p\)-adic difference operator Local ground fields in algebraic geometry, Additive difference equations, \(p\)-adic cohomology, crystalline cohomology, Sheaves of differential operators and their modules, \(D\)-modules Boyarsky principle and \(\mathcal D\)-modules | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic function fields; homogeneous unit equation; derivations on function fields D. BROWNAWELL - D. MASSER, Vanishing sums in function fields, Math. Proc. Camb. Phil. Soc., 100 (1986), pp. 427-434. Zbl0612.10010 MR857720 Higher degree equations; Fermat's equation, Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry Vanishing sums in function fields | 1 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic abelian variety; very thin; Hasse derivation; field of definition; rational points DOI: 10.1017/S1474748008000145 Model-theoretic algebra, Classification theory, stability, and related concepts in model theory, Differential algebra, Algebraic groups Some questions on the fields of definition for abelian varieties 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 \(p\)-adic; special linear group; group actions; affine Grassmannian; Hilbert scheme; Greenberg realization Kreidl, M, On \(p\)-adic lattices and Grassmannians, Math. Z., 276, 859-888, (2014) Actions of groups on commutative rings; invariant theory, Positive characteristic ground fields in algebraic geometry, Group schemes, Group actions on varieties or schemes (quotients), Categories admitting limits (complete categories), functors preserving limits, completions On \(p\)-adic lattices and Grassmannians | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic hyperelliptic curve; twisted curve; extended quadratic character; characteristic polynomials; Jacobian group order Special algebraic curves and curves of low genus, Curves over finite and local fields, Finite ground fields in algebraic geometry, Algebraic coding theory; cryptography (number-theoretic aspects) Characteristic polynomials of the curve \(v^2=u^p-au-b\) over finite fields of characteristic \(p\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic o-minimal flow; Ax-Lindemann-Weierstrass theorem Peterzil, Y., Starchenko, S.: A note on generalized power series case. unpublished notes Subvarieties of abelian varieties, Model theory of ordered structures; o-minimality, Transcendence (general theory), Real-analytic and semi-analytic sets, Analytic subsets of affine space, Applications of model theory A note on o-minimal flows and the Ax-Lindemann-Weierstrass theorem for semi-abelian varieties over \(\mathbb{C}\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic p-adic cohomology; differential module; de Rham cohomology Chiarellotto, B.: A comparison theorem in
\[
\mathfrak{p}
\]
-adic cohomology. Ann. Mat. Pura Appl. 153, 115--131 (1988) \(p\)-adic cohomology, crystalline cohomology, Modules of differentials, de Rham cohomology and algebraic geometry A comparison theorem in p-adic cohomology | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Fukuda, T.; Kanayama, N.; Komatsu, K., Prime divisors of special values of theta functions in the ray class field of a certain quartic field modulo \(2^n\), Math. Proc. Cambridge Philos. Soc., 141, 1-13, (2006) Elliptic and modular units, Algebraic numbers; rings of algebraic integers, Class field theory, Theta functions and abelian varieties Prime divisors of special values of theta functions in the ray class field of a certain quartic field modulo \(2^n\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic rigid analytic geometry; \(p\)-adic Hodge theory Rigid analytic geometry, Galois representations, \(p\)-adic theory, local fields, Arithmetic ground fields (finite, local, global) and families or fibrations, Perfectoid spaces and mixed characteristic A \(p\)-adic monodromy theorem for de Rham local systems | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic equivariant; tame Integral representations related to algebraic numbers; Galois module structure of rings of integers, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Arithmetic varieties and schemes; Arakelov theory; heights \(\varepsilon\)-constants and equivariant Arakelov-Euler characteristics | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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 oscillatory integrals; Laurent polynomials; Igusa zeta function; Newton polytopes; non-degeneracy conditions at infinity Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Zeta functions and \(L\)-functions, Exponential sums, Toric varieties, Newton polyhedra, Okounkov bodies Erratum to: Local zeta functions for non-degenerate Laurent polynomials 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 Non-Archimedean valued fields, Quantifier elimination, model completeness, and related topics, Henselian rings, Schemes and morphisms, Singularities in algebraic geometry, Other nonalgebraically closed ground fields in algebraic geometry, Semialgebraic sets and related spaces A closedness theorem and applications in geometry of rational points over Henselian valued 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 generic syzygy varieties; vector bundles; curves of genus 7; Green's conjecture Eusen F and Schreyer F -O, \textit{A remark on a conjecture of Paranjape and Ramanan, in: Geometry and arithmetic, EMS Ser. Congr. Rep.} (2012) (Zürich: Eur. Math. Soc.) pp. 113-123 Vector bundles on curves and their moduli, Syzygies, resolutions, complexes and commutative rings, Projective techniques in algebraic geometry, Pfaffian systems A remark on a conjecture of Paranjape and Ramanan | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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 hyperbolic curves; locally exact differentials Raynaud, M.: Sur le groupe fondamental d'une courbe complète en caractéristique p>0. Proc. sympos. Pure math. 70, 335-351 (2002) Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), Coverings in algebraic geometry, Étale and other Grothendieck topologies and (co)homologies, Finite ground fields in algebraic geometry, Coverings of curves, fundamental group On the fundamental group of a complete curve in characteristic \(p>0\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic polylogarithms; mixed Tate motives; additive dilogarithms Polylogarithms and relations with \(K\)-theory, Infinitesimal methods in algebraic geometry, Higher symbols, Milnor \(K\)-theory, Étale cohomology, higher regulators, zeta and \(L\)-functions (\(K\)-theoretic aspects) Deformations of Bloch groups and Aomoto dilogarithms 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 Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Complete intersections On cohomology of complete intersections with coefficients in the twisted sheaf of differential forms in the case of prime characteristic. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, de Rham cohomology and algebraic geometry, Complete intersections On cohomology of complete intersections with coefficients in the twisted sheaf of differential forms in the case of prime characteristic. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Complete intersections On cohomology of complete intersections with coefficients in the twisted sheaf of differential forms in the case of prime characteristic. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic abelian varieties; Tate conjecture; Shafarevich conjecture; Mordell conjecture; height Faltings G. Finiteness Theorems for Abelian Varieties over Number Fields, in G. Cornell and J. Silverman (eds.), Arithmetic Geometry Springer--Verlag (1986). Arithmetic ground fields for abelian varieties, Rational points, Arithmetic varieties and schemes; Arakelov theory; heights, Global ground fields in algebraic geometry, Heights, Abelian varieties of dimension \(> 1\), Higher degree equations; Fermat's equation Finiteness theorems for abelian varieties 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 Brauer groups; Galois cohomology; local and global field; reductive group; Tate-Shafarevich kernel; weak approximation Galois cohomology of linear algebraic groups, Local ground fields in algebraic geometry, Cohomology theory for linear algebraic groups On Brauer-Manin obstructions and analogs of Cassels-Tate's exact sequence for connected reductive groups over global function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Tsushima, T, On localizations of the characteristic classes of \(\mathcall \)-adic sheaves and conductor formula in characteristic \(p{\>}0\), Math. Z., 269, 411-447, (2011) Étale and other Grothendieck topologies and (co)homologies, Ramification and extension theory On localizations of the characteristic classes of \(\ell \)-adic sheaves and conductor formula in characteristic \(p > 0\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(q\)-Whittaker function; finite field; Jordan form; partial flag variety; Burge correspondence; RSK correspondence; preprojective algebra; socle filtration \(q\)-calculus and related topics, Symmetric functions and generalizations, Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals), Grassmannians, Schubert varieties, flag manifolds \(q\)-Whittaker functions, finite fields, and Jordan 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 lifting problem; sporadic zero; null correlation bundle; absolute Frobenius Low codimension problems in algebraic geometry, Plane and space curves, Surfaces and higher-dimensional varieties On the lifting problem in positive characteristic | 0 |
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