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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 minimal model program; threefolds; positive characteristic C. Xu, On the base-point-free theorem of \(3\)-folds in positive characteristic, J. Inst. Math. Jussieu 14 (2015), no. 3, 577--588. Divisors, linear systems, invertible sheaves, Minimal model program (Mori theory, extremal rays), Rational and birational maps On the base-point-free theorem of 3-folds 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 rigid analytic variety; Riemann-Hilbert correspondence; \(p\)-adic local system; relative \(p\)-adic Hodge theory; de Rham representation; \(p\)-adic Simpson correspondence Liu, R.; Zhu, X., Rigidity and a Riemann-Hilbert correspondence for \textit{p}-adic local systems, Invent. Math., 207, 291-343, (2017) Rigid analytic geometry, Modular and Shimura varieties, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Ramification and extension theory Rigidity and a Riemann-Hilbert correspondence for \(p\)-adic 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 test ideal; globally generated K. Schwede, A canonical linear system associated to adjoint divisors in characteristic \( p>0\), Journal für die reine und angewandte Mathematik. to appear. Divisors, linear systems, invertible sheaves, Positive characteristic ground fields in algebraic geometry, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure A canonical linear system associated to adjoint divisors 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 restriction of stable bundles; characteristic \(p\); ample line bundles; moduli space of stable bundle DOI: 10.1090/S0002-9947-97-02072-2 Algebraic moduli problems, moduli of vector bundles, Finite ground fields in algebraic geometry Restriction of stable bundles 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 algebraic independence; crystalline cohomology; de Rham; differential; finite field; Galois ring; identity testing; Jacobian; Kähler; \(p\)-adic; Teichmüller; Witt; zeta function Mittmann, Johannes; Saxena, Nitin; Scheiblechner, Peter, Algebraic independence in positive characteristic: A \(p\)-adic calculus, Transactions of the American Mathematical Society, 366, 3425-3450, (2014) Polynomial rings and ideals; rings of integer-valued polynomials, Witt vectors and related rings, \(p\)-adic cohomology, crystalline cohomology, de Rham cohomology and algebraic geometry, Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.), Symbolic computation and algebraic computation Algebraic independence in positive characteristic: a \(p\)-adic calculus | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic syntomic cohomology; regulators Nekovář, J.; Nizioł, W., Syntomic cohomology and \textit{p}-adic regulators for varieties over \textit{p}-adic fields, Algebra Number Theory, 10, 8, 1695-1790, (2016) \(p\)-adic cohomology, crystalline cohomology, Varieties over finite and local fields Syntomic cohomology and \(p\)-adic regulators for varieties over \(p\)-adic fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic tight closure; characteristic \(p\); Kodaira vanishing; singularities K. E. Smith, ''Vanishing, singularities and effective bounds via prime characteristic local algebra,'' in Algebraic Geometry-Santa Cruz 1995, Providence, RI: Amer. Math. Soc., 1997, pp. 289-325. Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Vanishing theorems in algebraic geometry, Local cohomology and algebraic geometry, Local cohomology and commutative rings, Singularities in algebraic geometry, Integral closure of commutative rings and ideals Vanishing, singularities and effective bounds via prime characteristic local algebra | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic étale fundamental group; curves in characteristic p F. Pop and M. Saïdi, On the specialization homomorphism of fundamental groups of curves in positive characteristic, in Galois groups and fundamental groups, Math. Sci. Res. Inst. Publ., 41 , Cambridge University Press, 2003, pp. 107-118. Coverings of curves, fundamental group, Arithmetic ground fields for curves, Matrices, determinants in number theory On the specialization homorphism of fundamental groups of curves in positive characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic gonality; modular curve; Igusa curve; image of Galois Poonen, B., \textit{gonality of modular curves in characteristic \textit{p}}, Math. Res. Lett., 14, 691-701, (2007) Modular and Shimura varieties, Arithmetic aspects of modular and Shimura varieties, Special divisors on curves (gonality, Brill-Noether theory) Gonality of modular curves in characteristic \(p\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic ring of Fontaine; Galois cohomology; \(p\)-adic field Herr, L., \textit{sur la cohomologie galoisienne des corps \textit{p}-adiques}, Bull. Soc. Math. France, 126, 563-600, (1998) Class field theory; \(p\)-adic formal groups, \(p\)-adic cohomology, crystalline cohomology, Formal groups, \(p\)-divisible groups On Galois cohomology of \(p\)-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 algebraic curve; positive characteristic; Belyi map; covering Dessins d'enfants theory, Coverings of curves, fundamental group, Effectivity, complexity and computational aspects of algebraic geometry An effective version of Belyĭ's theorem in positive characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Hermitian curve; unitary group; quotient curve; maximal curve; Wiman's sextic Automorphisms of curves, Curves over finite and local fields, Finite ground fields in algebraic geometry, Arithmetic ground fields for curves An \(\mathbb{F}_{p^2 } \)-maximal Wiman sextic and its automorphisms | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic algebras of invariants; actions; Hopf algebras; coactions; algebras of coinvariants Restuccia, G.; Utano, R.: N-dimensional action of finite abelian Hopf algebras in characteristic p0. Rev. roumaine math. Pures appl. 43, 881-895 (1998) Actions of groups and semigroups; invariant theory (associative rings and algebras), Geometric invariant theory \(n\)-dimensional actions of finite Abelian Hopf algebras 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 Galois extension; Galois group; \(G\)-covering; \(\mathbb{Q}_ p\)-rational points; inverse Galois problem Deschamps, B.: Existence de points p-adiques pour tout p sur un espace de Hurwitz. Proceedings AMS-NSF Summer Conference, 186, Cont. Math. series, Recent Developments in the Inverse Galois Problem, 111--171 (1995) Rational points, Inverse Galois theory, Coverings of curves, fundamental group, Arithmetic theory of algebraic function fields Existence of \(p\)-adic points for all \(p\) over a Hurwitz space | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic modular groups; torsion points; difference fields; Manin-Mumford conjecture; semiabelian varieties; Mordell-Lang problem T. Scanlon, A positive characteristic Manin-Mumford theorem, Compos. Math. 141 (2005), 1351-1364. Model-theoretic algebra, Abelian varieties of dimension \(> 1\), Difference algebra, Subvarieties of abelian varieties, Arithmetic ground fields for abelian varieties A positive characteristic Manin-Mumford 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 Jacobian varieties; Mordell-Weil theorem; rational points Abelian varieties of dimension \(> 1\), Global ground fields in algebraic geometry, Jacobians, Prym varieties Rational points of Jacobian varieties in pro-\(\ell\) towers of function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic group cohomology Symbols and arithmetic (\(K\)-theoretic aspects), Commutator calculus, Arithmetic ground fields for curves Cohomological characterization of the Hilbert symbol over \(\mathbb Q_p^*\) | 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 global function fields; rational places; curves over finite fields; asymptotic measure of \(\mathbb{F}_q\)-rational points; class field towers; codes; Gilbert-Varshamov bound Niederreiter, H.; Xing, C., Towers of global function fields with asymptotically many rational places and an improvement on the Gilbert-varshamov bound, Math. Nachr., 195, 171-186, (1998) Curves over finite and local fields, Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Algebraic coding theory; cryptography (number-theoretic aspects), Finite ground fields in algebraic geometry, Geometric methods (including applications of algebraic geometry) applied to coding theory, Bounds on codes Towers of global function fields with asymptotically many rational places and an improvement on the Gilbert-Varshamov bound | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Schubert calculus; Wronski map; orthogonal Grassmannian; symmetric tableaux Purbhoo, K., The Wronski map and shifted tableau theory, Int. math. res. not. IMRN, 24, 5706-5719, (2011) Classical problems, Schubert calculus The Wronski map and shifted tableau theory | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic simple abelian variety over differential field; gap theorem; absolute dimension; universal schemes A. Buium and A. Pillay, A gap theorem for abelian varieties over differential fields, Math. Research Letters 4 (1997), 211-219. Algebraic theory of abelian varieties, Differential algebra, Transcendence (general theory) A gap theorem for abelian varieties over 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 derivation; ring of constants; \(p\)-basis; Jacobian conjecture Jędrzejewicz, P., A characterization of \textit{p}-bases of rings of constants, Cent. eur. J. math., 11, 900-909, (2013) Derivations and commutative rings, Polynomial rings and ideals; rings of integer-valued polynomials, Jacobian problem A characterization of \(p\)-bases of rings of constants | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(\mathbb{A}^1\)-Euler characteristic; Grothendieck-Witt group; Hochschild cohomology; Hermitian \(K\)-theory Motivic cohomology; motivic homotopy theory, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) Compactly supported \(\mathbb{A}^1\)-Euler characteristic and the Hochschild complex | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic set of isomorphism classes of g-dimensional Abelian varieties is; finite; non-Archimedean places Zarhin, Yu. G., \textit{A finiteness theorem for unpolarized abelian varieties over number fields with prescribed places of bad reduction}, Invent. Math., 79, 309-321, (1985) Arithmetic ground fields for abelian varieties, Global ground fields in algebraic geometry, Analytic theory of abelian varieties; abelian integrals and differentials A finiteness theorem for unpolarized Abelian varieties over number fields with prescribed places of bad reduction | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic anabelian geometry; Grothendieck conjecture; \(p\)-adic analytic manifold; rational point Coverings of curves, fundamental group, Galois theory, Rational points, Local ground fields in algebraic geometry A \(p\)-adic analytic approach to the absolute Grothendieck 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 Grassmannian; Kähler differential; \(p\)-basis; Zariski open set Ono T., A note on p-bases of a regular affine domain extension, Proc. Amer. Math. Soc., 2008, 136(9), 3079--3087 Commutative ring extensions and related topics, Varieties and morphisms, Derivations and commutative rings A note on \(p\)-bases of a regular affine domain extension | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic osculating flag on a projective curve; characteristic \(p\); order of contact [BR] Ballico E., Russo B.,On the general osculating flag to a projective curve in characteristic p, Comm. in Algebra (to appear). Projective techniques in algebraic geometry, Special algebraic curves and curves of low genus, Finite ground fields in algebraic geometry On the general osculating flag to a projective curve 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 algebraic closure; power series; polynomials; valuation Rond, G., About the algebraic closure of the field of power series in several variables in characteristic zero, (2015) Formal power series rings, Diophantine inequalities, General valuation theory for fields, Field extensions, Power series rings, Singularities in algebraic geometry, Germs of analytic sets, local parametrization About the algebraic closure of the field of power series in several variables in 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 Albanese map; Brauer groups Brauer groups of schemes, Local ground fields in algebraic geometry On the Albanese cokernel of varieties over \(p\)-adic fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Esnault, H., \textit{on flat bundles in characteristic 0 and \textit{p} > 0}, European congress of mathematics, Krakow, 2-7 July, 301-313, (2012), European Mathematical Society Positive characteristic ground fields in algebraic geometry, Homotopy theory and fundamental groups in algebraic geometry, Vector bundles on surfaces and higher-dimensional varieties, and their moduli On flat bundles in characteristic \(0\) and \(p>0\) | 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 Gál's sums; Dirichlet polynomials; Riemann zeta function; Dirichlet \(L\)-functions; resonance method; function fields Zeta functions and \(L\)-functions of function fields, \(\zeta (s)\) and \(L(s, \chi)\), Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry Large values of Dirichlet \(L\)-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 Brauer-Manin obstruction; semi-abelian varieties Varieties over global fields, Global ground fields in algebraic geometry, Hasse principle, weak and strong approximation, Brauer-Manin obstruction, Subvarieties of abelian varieties The triviality of Brauer-Manin obstruction for subvarieties of semi-abelian varieties over function 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 Biswas, I.; Ducrohet, L., An analog of a theorem of lange and stuhler for principal bundles, C. R. Acad. Sci. Paris, Ser. I, 345, 9, 495-497, (2007) Vector bundles on curves and their moduli, Local ground fields in algebraic geometry An analog of a theorem of Lange and Stuhler for principal bundles | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic family of elliptic curves; Weierstraß form; lifted \(p\)-adic homology; zeta endomorphism \(p\)-adic cohomology, crystalline cohomology, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Riemann surfaces; Weierstrass points; gap sequences, Elliptic curves A \(p\)-adic cohomological method for the Weierstrass family and its zeta invariants | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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 interpolation; \(n\)-independent set; PD multiplicity space; arithmetical multiplicity Interpolation in approximation theory, Multidimensional problems, Plane and space curves On the Noether and the Cayley-Bacharach theorems with PD multiplicities | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic characteristic \(p\); Borel subgroup; Borel variety; differential operators Rikard Bøgvad, Some results on \?-modules on Borel varieties in characteristic \?>0, J. Algebra 173 (1995), no. 3, 638 -- 667. Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Homogeneous spaces and generalizations, Group actions on varieties or schemes (quotients), Finite ground fields in algebraic geometry Some results on \({\mathcal D}\)-modules on Borel varieties 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 Bertini's theorem; finite field; hypersurfaces Hypersurfaces and algebraic geometry, Pencils, nets, webs in algebraic geometry, Projective techniques in algebraic geometry A Bertini type theorem for pencils 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 \(p\)-adic unitary representations; admissible \(\varphi\)-modules Integral representations, Local ground fields in algebraic geometry, Unitary representations of locally compact groups Admissible \(\varphi \)-modules and \(p\)-adic unitary representations | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic linear algebraic groups and torsors; zero-cycles; local-global principles; semiglobal fields; discrete valuation rings Algebraic cycles, Rational points, Arithmetic ground fields for curves, Galois cohomology of linear algebraic groups, Galois cohomology, Separable extensions, Galois theory Local-global principles for zero-cycles on homogeneous spaces 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 Theta functions; addition theorem Theta functions and curves; Schottky problem The additions theorem for the \(\vartheta\) functions with \(p\) arguments. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic homogeneous Nullstellensatz for \(p\)-fields; Borsuk-Ulam theorem; Brouwer's fixed point theorem ------, A new proof of the homogeneous nullstellensatz for \(p\) -fields and applications to topology, Recent advances in real algebraic geometry and quadratic forms, 1991--1992 (B. Jacob, T. Y. Lam, R. Robson, eds.), Contemp. Math., 155, pp. 221--230, Amer. Math. Soc., Providence, RI, 1994. Relevant commutative algebra, Real algebraic sets, Fixed-point and coincidence theorems (topological aspects), Algebraic field extensions A new proof of the homogeneous Nullstellensatz for \(p\)-fields, and applications to topology | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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; curves over finite fields; Vojta's conjecture Corvaja, P.; Zannier, U., Greatest common divisors of \(u - 1\), \(v - 1\) in positive characteristic and rational points on curves over finite fields, J. Eur. Math. Soc., 15, 1927-1942, (2013) Varieties over finite and local fields, Elliptic curves over global fields, Finite ground fields in algebraic geometry, Local ground fields in algebraic geometry Greatest common divisors of \(u-1, v-1\) in positive characteristic and rational points on curves over finite fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Arcs and motivic integration, Applications of model theory, Analysis on \(p\)-adic Lie groups, Linear algebraic groups over local fields and their integers Motivic functions, integrability, and applications to harmonic analysis on \(p\)-adic groups | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic algebraic function fields of genus one; real-closed field; J-invariant Algebraic functions and function fields in algebraic geometry, Arithmetic theory of algebraic function fields, Real algebraic and real-analytic geometry, Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) An isomorphism theorem for algebraic function fields of genus one over real-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 cyclotomic function field; Carlitz module; Riemann-Hurwitz formula Riemann surfaces; Weierstrass points; gap sequences, Cyclotomic function fields (class groups, Bernoulli objects, etc.), Curves over finite and local fields, Drinfel'd modules; higher-dimensional motives, etc., Arithmetic theory of algebraic function fields, Automorphisms of curves, Modules of differentials Explicit Galois representations of automorphisms on holomorphic differentials in characteristic \(p\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic rational double point; sheaf of logarithmic derivations Singularities of surfaces or higher-dimensional varieties, Complex surface and hypersurface singularities Further evaluation of Wahl vanishing theorems for surface singularities 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 Bertini theorem; Betti numbers; finiteness of Monsky-Washnitzer cohomology; \(p\)-adic differential equations; characteristic \(p\); \(p\)-adic Gysin exact sequence Mebkhout, Z., Sur le théorème de finitude de la cohomologie \textit{p}-adique d\(###\)une variété affine non singulière, Amer. J. Math., 119, 1027-1081, (1997) \(p\)-adic cohomology, crystalline cohomology, Vanishing theorems in algebraic geometry, \(p\)-adic differential equations On the finiteness theorem of the \(p\)-adic cohomology of a non-singular affine variety | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic DOI: 10.1109/TIT.2011.2179519 Applications to coding theory and cryptography of arithmetic geometry, Geometric methods (including applications of algebraic geometry) applied to coding theory, Algebraic functions and function fields in algebraic geometry Bases for Riemann-Roch spaces of one-point divisors on an optimal tower of function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Elliptic curves over global fields, Arithmetic ground fields for abelian varieties Local-global principles for Weil-Châtelet divisibility 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 complex abelian variety; subvariety; complete intersection; signed Euler characteristic Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects), Critical points of functions and mappings on manifolds, Subvarieties of abelian varieties On the signed Euler characteristic property for subvarieties of abelian varieties | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Taniyama, Y., \(L\)-functions of number fields and zeta functions of abelian varieties, J. Math. Soc. Japan, 9, 330-366, (1957) Zeta functions and \(L\)-functions of number fields, Abelian varieties of dimension \(> 1\), Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Abelian varieties and schemes, Arithmetic ground fields for abelian varieties \(L\)-functions of number fields and zeta functions of abelian varieties | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Berkovich spaces; rigid geometry; formal schemes; privilege; noetherianity Poineau, J.: Un résultat de connexité pour les variétés analytiques p-adiques: privilège et noethérianité. Compos. Math. 144 (1), 107--133 (2008) Rigid analytic geometry A connectedness result for \(p\)-adic analytic varieties: Privilege and noetherianity | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Bertini theorem; finite field; arithmetic scheme B. Poonen, ''Bertini theorems over finite fields,'' Ann. of Math., vol. 160, iss. 3, pp. 1099-1127, 2004. Finite ground fields in algebraic geometry, Arithmetic varieties and schemes; Arakelov theory; heights, Projective techniques in algebraic geometry, Arithmetic ground fields for surfaces or higher-dimensional varieties, Varieties over finite and local fields Bertini theorems 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 Rivera-Letelier, J., Dynamique des fonctions rationnelles sur des corps locaux, Astérisque, 287, 147-230, (2003) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets, Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables, Local ground fields in algebraic geometry, Iteration theory, iterative and composite equations Dynamics of rational functions over local fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic number of mappings of algebraic curves; theorem of De Franchis; Mordell's conjecture over functions fields Algebraic functions and function fields in algebraic geometry, Rational and birational maps, Picard-type theorems and generalizations for several complex variables, Enumerative problems (combinatorial problems) in algebraic geometry, Global ground fields in algebraic geometry A higher dimensional analogue of Mordell's conjecture over function fields and related problems | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic elliptic divisibility sequences; elliptic surfaces; primitive divisors; function fields; constant \(j\)-invariant Elliptic curves over global fields, Fibonacci and Lucas numbers and polynomials and generalizations, Elliptic curves, Elliptic curves over local fields, Special sequences and polynomials Primitive divisors of elliptic divisibility sequences over function fields with constant \(j\)-invariant | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Artin-Schreier type curve; quadratic form; maximal curve Özbudak, F.; Saygı, E.; Saygı, Z.: Quadratic forms of codimension 2 over certain finite fields of even characteristic. Cryptogr. commun. 3, 241-257 (2011) Curves over finite and local fields, Rational points, Applications to coding theory and cryptography of arithmetic geometry Quadratic forms of codimension 2 over certain finite fields of even 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 Noetherian local ring; vanishing of the local cohomology module F.W. Call and R.Y. Sharp, A short proof of the local Lichtenbaum-Hartshorne theorem on the vanishing of local cohomology modules, Bull. Lond. Math. Soc. \textbf18 (1986), 261--264. Local cohomology and algebraic geometry, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Homological methods in commutative ring theory, Commutative Noetherian rings and modules A short proof of the local Lichtenbaum-Hartshorne theorem on the vanishing of local 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 Noetherian local ring; vanishing of the local cohomology module F.W. Call and R.Y. Sharp,A short proof of the local Lichtenbaum-Hartshorne theorem on the vanishing of local cohomology, Bull. London Math. Soc.18 (1986), 261--264 Local cohomology and algebraic geometry, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Homological methods in commutative ring theory, Commutative Noetherian rings and modules A short proof of the local Lichtenbaum-Hartshorne theorem on the vanishing of local 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 zeta function; Bernstein-Sato polynomials; hyperplane arrangements Budur, N; Saito, M; Yuzvinsky, S, On the local zeta functions and the \(b\)-functions of certain hyperplane arrangements, J. Lond. Math. Soc., 84, 631-648, (2011) Singularities of surfaces or higher-dimensional varieties, Monodromy; relations with differential equations and \(D\)-modules (complex-analytic aspects), Relations with arrangements of hyperplanes On the local zeta functions and the \(b\)-functions of certain hyperplane arrangements | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic transcendence theory; analytic subgroup theorem; \(p\)-adic fields; group varieties Transcendence (general theory), \(p\)-adic theory, local fields, Group varieties, Analysis on \(p\)-adic Lie groups \(p\)-adic non-commutative analytic subgroup 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 curves in characteristic p; set of points in uniform position; bounds for the genus of curves Jürgen Rathmann, The uniform position principle for curves in characteristic \?, Math. Ann. 276 (1987), no. 4, 565 -- 579. Enumerative problems (combinatorial problems) in algebraic geometry, Curves in algebraic geometry, Finite ground fields in algebraic geometry The uniform position principle for curves in characteristic p | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic characteristic polynomial; abelian variety; finite field Abelian varieties of dimension \(> 1\), Varieties over finite and local fields, Arithmetic ground fields for abelian varieties The characteristic polynomials of abelian varieties over finite fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(K\)-groups; spectra; Galois cohomology; fibrant model; Lichtenbaum- Quillen conjecture for fields Relations of \(K\)-theory with cohomology theories, Étale cohomology, higher regulators, zeta and \(L\)-functions (\(K\)-theoretic aspects), Étale and other Grothendieck topologies and (co)homologies, Computations of higher \(K\)-theory of rings The Lichtenbaum-Quillen conjecture for fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Galois representations; Zariski non-density; Diophantine problems; period maps; \(p\)-adic Hodge theory Varieties over global fields, Galois representations, Transcendence theory of elliptic and abelian functions, Rational points Diophantine problems and \(p\)-adic period mappings | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Riemann-Roch problem for arithmetic varieties Arithmetic varieties and schemes; Arakelov theory; heights, Riemann-Roch theorems A Riemann-Roch theorem in arithmetic geometry | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(p\)-adic Nevanlinna-Cartan; \(p\)-adic holomorphic maps Non-Archimedean function theory, Nevanlinna theory; growth estimates; other inequalities of several complex variables, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory, Value distribution theory in higher dimensions, Hypersurfaces and algebraic geometry, Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.), Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.) \(p\)-adic Nevanlinna-Cartan theorem in several variables for Fermat type hypersurfaces. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic arithmetic statistics; class group; homological stability; Hurwitz space Ellenberg, Jordan S.; Venkatesh, Akshay; Westerland, Craig, Homological stability for Hurwitz spaces and the Cohen-Lenstra conjecture over function fields, Ann. of Math. (2), 0003-486X, 183, 3, 729\textendash 786 pp., (2016) Families, moduli of curves (algebraic), Arithmetic theory of algebraic function fields, Coverings of curves, fundamental group, Curves over finite and local fields, Positive characteristic ground fields in algebraic geometry Homological stability for Hurwitz spaces and the Cohen-Lenstra 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 Galois cohomology; Bloch-Kato conjecture; Laurent series fields in two or more variables; function fields in two or more variables; singularities; finite base fields; \(p\)-adic base fields; global base fields; Hasse principle; Brauer group; Brauer-Hasse-Noether exact sequence Galois cohomology, Varieties over finite and local fields, Varieties over global fields, Galois cohomology, Galois cohomology, Finite ground fields in algebraic geometry, Local ground fields in algebraic geometry, Global ground fields in algebraic geometry, Arithmetic ground fields for surfaces or higher-dimensional varieties, Singularities of surfaces or higher-dimensional varieties Vanishing theorems and Brauer-Hasse-Noether exact sequences for the cohomology of higher-dimensional fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic elliptic curves; isogeny; local-global principle Sutherland, Andrew V., A local-global principle for rational isogenies of prime degree, J. Théor. Nombres Bordeaux, 1246-7405, 24, 2, 475-485, (2012) Elliptic curves over global fields, Arithmetic ground fields for abelian varieties A local-global principle for rational isogenies of prime degree | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic abelian variety; finite field; Weil polynomial; characteristic polynomial Varieties over finite and local fields, Complex multiplication and abelian varieties The characteristic polynomials of abelian varieties of higher dimension 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 ranks; strange variety; very strange curve; structured rank Ballico, E, An upper bound for the \(X\)-ranks of points of \(\mathbb{P}^{n}\) in positive characteristic, Albanian J. Math., 5, 3-10, (2011) Projective techniques in algebraic geometry, Plane and space curves An upper bound for the \(X\)-ranks of points of \(\mathbb {P}^n\) 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 Theory of modules and ideals in commutative rings, Computational aspects and applications of commutative rings, Computational aspects in algebraic geometry Corrigendum to: ``Noether normalization theorem and dynamical Gröbner bases over Bezout domains of Krull dimension 1'' | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Veronese embedding; vector bundle; projective space Huh, Sukmoon, On triple Veronese embeddings of \(\mathbb{P}^n\) in the Grassmannians, Math. Nachr., 284, 11-12, 1453-1461, (2011) Algebraic moduli problems, moduli of vector bundles, Embeddings in algebraic geometry On triple Veronese embeddings of \(\mathbb P^n\) in the 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 \(F\)-rationality; action of a group; Cohen-Macaulay property; ring of invariants Glassbrenner, D., The Cohen-Macaulay property and \textit{F}-rationality in certain rings of invariants, J. algebra, 176, 824-860, (1995) Geometric invariant theory, Polynomial rings and ideals; rings of integer-valued polynomials, Group actions on varieties or schemes (quotients), Rational points, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal), Actions of groups on commutative rings; invariant theory The Cohen-Macaulay property and \(F\)-rationality in certain rings of invariants | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Dirichlet \(L\)-functions; moments of \(L\)-functions; function fields; finite fields; random matrix theory Zeta and \(L\)-functions in characteristic \(p\), Polynomials over finite fields, Relations with random matrices, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Arithmetic theory of polynomial rings over finite fields The integrated fourth moment of Dirichlet \(L\)-functions over rational function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic abelian varieties; Tate modules Zarhin Yu.G., Homomorphisms of abelian varieties over geometric fields of finite characteristic, J. Inst. Math. Jussieu, 2013, 12(2), 225--236 Abelian varieties of dimension \(> 1\), Arithmetic ground fields for abelian varieties, Isogeny Homomorphisms of abelian varieties over geometric fields of finite 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 Frobenius morphism; partial flag variety; quadric; derived category; tilting bundle DOI: 10.1007/s00031-010-9083-8 Vanishing theorems in algebraic geometry, Grassmannians, Schubert varieties, flag manifolds A vanishing theorem for differential operators 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 almost perfect nonlinear (APN); cyclic codes; Deligne estimate; Lang-Weil estimate; absolutely irreducible polynomial; CCZ-equivalence; EA-equivalence; Gold function, Kasami-Welch function Delgado M., Janwa H.: Further results on exceptional APN functions. AGCT-India (2013) http://www.math.iitb.ac.in/~srg/AGCT-India-2013/Slides/. Applications to coding theory and cryptography of arithmetic geometry, Algebraic coding theory; cryptography (number-theoretic aspects), Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Cryptography Some new results on the conjecture on exceptional APN functions and absolutely irreducible polynomials: the Gold case | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic characteristic \(p\); homogeneous space; embeddings; very ample line bundle N. Lauritzen, \textit{Embeddings of homogeneous spaces in prime characteristics}, Amer. J. Math. \textbf{118} (1996), no. 2, 377-387. Homogeneous spaces and generalizations, Finite ground fields in algebraic geometry, Embeddings in algebraic geometry Embeddings of homogeneous spaces in 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 families of open curves; function-field analog of the Mordell conjecture Arithmetic ground fields for curves, Families, moduli of curves (analytic), Rational points, Arithmetic varieties and schemes; Arakelov theory; heights A function-field analog of the Mordell conjecture: A non-compact version | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Iwasawa theory; \(p\)-adic zeta function; positive \(p\)-adic \(L\)-function; Grothendieck topology; positive topology; functional equation Zeta functions and \(L\)-functions of number fields, Iwasawa theory, Étale and other Grothendieck topologies and (co)homologies On \(p\)-adic zeta-functions associated to the positive topology of 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 Finite ground fields in algebraic geometry, Varieties over finite and local fields, Zeta and \(L\)-functions in characteristic \(p\), Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) On the zeroes and poles of \(L\)-functions over 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 duality; 1-motives González-Avilés, C. D., Arithmetic duality theorems for 1-motives over function fields, J. reine angew. Math., 632, 203-231, (2009) Group schemes, Drinfel'd modules; higher-dimensional motives, etc., Galois cohomology Arithmetic duality theorems for 1-motives 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 \(F\)-jumping numbers; Bernstein-Sato polynomials; test ideals Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Singularities in algebraic geometry, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials Bernstein-Sato theory for arbitrary ideals 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 \(F\)-signature; splitting prime; test module; \(F\)-regularity; \(F\)-purity Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Singularities in algebraic geometry On the behavior of \(F\)-signatures, splitting primes, and test modules under finite covers | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic characterization of projective space; first Chern class; extremal rational curves; ample vector bundle Thomas Peternell, A characterization of \?_{\?} by vector bundles, Math. Z. 205 (1990), no. 3, 487 -- 490. Projective techniques in algebraic geometry, Characteristic classes and numbers in differential topology A characterization of \({\mathbb{P}}_ n\) by vector bundles | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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 cohomology; motivic homotopy theory, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Spectra with additional structure (\(E_\infty\), \(A_\infty\), ring spectra, etc.), Steenrod algebra Motivic Steenrod operations 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 Minkowski-Hlawka theorem; lattice packing; complex abelian varieties; schemes DOI: 10.1007/s00229-015-0791-1 Lattice packing and covering (number-theoretic aspects), Analytic theory of abelian varieties; abelian integrals and differentials Abelian varieties and a Minkowski-Hlawka 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 principal \(G\)-bundle; Harder-Narasimhan type; canonical reduction Fibrations, degenerations in algebraic geometry Restriction theorems for principal bundles 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 arc scheme; singularities; 1-forms Julien Sebag, ''A remark on Berger's conjecture, Kolchin's theorem and arc schemes'', Arch. Math.108 (2017) no. 2, p. 145-â150 Arcs and motivic integration, Singularities in algebraic geometry A remark on Berger's conjecture, Kolchin's theorem, and arc 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 \(u\)-invariant; \(p\)-adic field; smooth projective curve; Brauer group; norm group of a quadric D. W. Hoffmann andJ. Van Geel, Zeroes and norm groups of quadratic forms over function fields in one variable over a local non-dyadic field,J. Ramanujan Math. Soc. 13 (1998), 85--110. Quadratic forms over general fields, Curves over finite and local fields, Algebraic theory of quadratic forms; Witt groups and rings, Brauer groups of schemes Zeros and norm groups of quadratic forms over function fields in one variable over a local non-dyadic field | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic rationally connected varieties; quasi-algebraically closed fields Rationally connected varieties, Rational points, Fano varieties On rationally connected varieties over \(C_1\) fields of characteristic 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 Schmidt's subspace theorem; Cartan conjecture; Nochka weights; Wirsing's theorem; moving targets Diophantine inequalities, Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.), Algebraic functions and function fields in algebraic geometry, Value distribution of meromorphic functions of one complex variable, Nevanlinna theory Cartan's conjecture with moving targets of same growth and effective Wirsing's theorem 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 effective Matsusaka's theorem; surfaces in positive characteristic; Fujita's conjectures; Bogomolov's stability; Reider's theorem; bend-and-break; effective Kawamata-Viehweg vanisihng Di Cerbo, Gabriele; Fanelli, Andrea, Effective Matsusaka's theorem for surfaces in characteristic \(p\), Algebra Number Theory, 9, 6, 1453-1475, (2015) Special surfaces Effective Matsusaka's theorem for surfaces in characteristic \(p\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Belyi's theorems; function field; finite field; tame and wild ramification; pseudo-tame Arithmetic theory of algebraic function fields, Curves over finite and local fields, Algebraic functions and function fields in algebraic geometry Belyi's 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 Hideyasu Sumihiro and Shigehiro Tagami, A splitting theorem for rank two vector bundles on projective spaces in positive characteristic, Hiroshima Math. J. 31 (2001), no. 1, 51 -- 57. Vector bundles on surfaces and higher-dimensional varieties, and their moduli A splitting theorem for rank two vector bundles on projective spaces 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 abelian variety over finite field; characteristic polynomial of Frobenius endomorphism Xing, C. P., The characteristic polynomials of abelian varieties of dimension three and four over finite fields, Sci. China, 37, 3, 147-150, (1994) Arithmetic ground fields for abelian varieties, Finite ground fields in algebraic geometry, Varieties over finite and local fields The characteristic polynomials of abelian varieties of dimensions three and four 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 ramification of algebraic functions; characteristic two Shreeram Abhyankar, Ramification theoretic methods in algebraic geometry, Annals of Mathematics Studies, no. 43, Princeton University Press, Princeton, N.J., 1959. Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry On the ramification of algebraic functions. II: Unaffected equations for characteristic two | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic unipotent fundamental groups; function fields; monodromy; \(p\)-adic cohomology; good reduction Varieties over finite and local fields, Homotopy theory and fundamental groups in algebraic geometry, \(p\)-adic cohomology, crystalline cohomology, Curves over finite and local fields Fundamental groups and good reduction criteria for curves over positive characteristic local fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Bertini's theorem; pathological fibrations; vector fields; invariant curves; minimal models Stöhr, K. -O.: On Bertini's theorem for fibrations by plane projective quartic curves in characteristic five. J. algebra 315, 502-526 (2007) Families, moduli of curves (algebraic), Fibrations, degenerations in algebraic geometry, Arithmetic ground fields for curves On Bertini's theorem for fibrations by plane projective quartic curves in characteristic five | 0 |
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