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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 duality; algebraically closed residue field; complete discretely valued field; Galois cohomology Pépin, C., Dualité sur un corps local de caractéristique positive à corps résiduel algébriquement clos, prépublication Étale and other Grothendieck topologies and (co)homologies, Group schemes, Brauer groups of schemes, Class field theory; \(p\)-adic formal groups Duality over a local field of positive characteristic with algebraically closed residue field | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic finite field; towers of algebraic function fields Arithmetic theory of algebraic function fields, Class field theory, Algebraic functions and function fields in algebraic geometry, Rational points A note on towers of function fields over finite fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic quadratic forms; Galois comology; \(u\)-invariant; \(p\)-adic curves Quadratic forms over general fields, Galois cohomology, Varieties over global fields, Algebraic cycles Quadratic forms, Galois cohomology and function fields of \(p\)-adic curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic theta functions Theta functions and abelian varieties Note on \(p\) row characteristics which are composed from thirds of integers and on the addition theorem of the thetafunctions belonging to them. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic quasi-\(p\)-groups; Sylow \(p\)-subgroup; Galois group of a connected étale covering; covering of the affine line Michel Raynaud, ``Revêtements de la droite affine en caractéristique \(p > 0\) et conjecture d'Abhyankar'', Invent. Math.116 (1994) no. 1-3, p. 425-462{
}{\copyright} Annales de L'Institut Fourier - ISSN (électronique) : 1777-5310 Coverings of curves, fundamental group, Local ground fields in algebraic geometry, Finite ground fields in algebraic geometry Coverings of the affine line in characteristic \(p>0\) and Abhyankar's conjecture | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Rees algebra; self-linked ideal; Cohen-Macaulayness; Gorensteinness; polynomial rings Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, Plane and space curves, Complete intersections, Cohen-Macaulay modules On the Cohen-Macaulay property of \(A[pt, p^{(2)} t^ 2]\) for space monomial curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic toric varieties; étale cohomology; semigroup \(p\)-gluing Barile M., Lyubeznik G.,Set-theoretic complete intersections in characteristic p, Proc. Amer. Soc.,133 (2005), 3199--3209. Complete intersections, Toric varieties, Newton polyhedra, Okounkov bodies, Étale and other Grothendieck topologies and (co)homologies, Free semigroups, generators and relations, word problems Set-theoretic complete intersections 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 Schröer, Stefan: The T1-lifting theorem in positive characteristic. J. algebraic geometry 12, 699-714 (2003) Formal methods and deformations in algebraic geometry, Infinitesimal methods in algebraic geometry, Calabi-Yau manifolds (algebro-geometric aspects) The \(T^ 1\)-lifting 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 Galois cohomology; unramified cohomology; surfaces over finite fields; ramification; local-global principle Galois cohomology, Varieties over finite and local fields, Arithmetic ground fields for surfaces or higher-dimensional varieties On a local-global principle for \(H^3\) of function fields of surfaces over a finite field | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic birational geometry; abelian varieties; positive characteristic Birational geometry, Algebraic theory of abelian varieties, Arithmetic ground fields for abelian varieties Birational characterization of abelian varieties and ordinary abelian 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 function fields of \(p\)-adic curves; classical groups; projective homogeneous spaces; local-global principle; unitary groups Galois cohomology of linear algebraic groups, Curves over finite and local fields, Rational points, Local ground fields in algebraic geometry Local-global principle for classical groups over function fields of \(p\)-adic curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic de Rham cohomology and algebraic geometry, \(p\)-adic cohomology, crystalline cohomology, Topological properties in algebraic geometry, Positive characteristic ground fields in algebraic geometry Specializing varieties and their cohomology from characteristic 0 to 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 numerical effective bundle; higher dimensional analogue of Mordell's finiteness conjecture over function fields; nef Moduli, classification: analytic theory; relations with modular forms, Rational and birational maps, Algebraic functions and function fields in algebraic geometry The Mordell-Bombieri-Noguchi 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 Mather-Yau theorem; charcteristic \(p\); hypersurface singularity; contact equivalence; right equivalence Greuel, G.-M.; Pham, T. H., Mather-Yau theorem in positive characteristic, J. Algebraic Geom., 26, 2, 347-355, (2017) Singularities in algebraic geometry, Invariants of analytic local rings Mather-Yau 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 towers of function fields; rational places; genus of a function field; automorphisms of function fields; \(p\)-rank Arithmetic theory of algebraic function fields, Curves over finite and local fields, Applications to coding theory and cryptography of arithmetic geometry, Algebraic functions and function fields in algebraic geometry Asymptotically good towers of function fields with small \(p\)-rank | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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; rational points; purely inseparable extensions; Frobenius; Verschiebung Results involving abelian varieties, Abelian varieties of dimension \(> 1\), Global ground fields in algebraic geometry On the group of purely inseparable points of an abelian variety defined over a function field of positive characteristic. II | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Hasse--Witt map; Hasse--Witt invariant; Hasse--Witt matrix; Witt vectors; holomorphic differentials; Cartier operator; maximal abelian extension Maldonado Ramírez, Cyclic p-extensions of function fields with null Hasse-Witt map, Int. Math. Forum 2 (49-52) pp 2463-- (2007) Arithmetic theory of algebraic function fields, Algebraic functions and function fields in algebraic geometry Cyclic \(p\)-extensions of function fields with null Hasse-Witt map | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic algebraic K-theory; norm residue homomorphism; \(K_ 2\) of fields; Brauer group; Merkur'ev-Suslin theorem Galois cohomology, Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects), Brauer groups of schemes A short remark on the Merkurjev-Suslin theorem | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Hindes, Wade, Prime divisors in polynomial orbits over function fields, Bull. Lond. Math. Soc., 48, 6, 1029-1036, (2016) Algebraic functions and function fields in algebraic geometry, Galois theory, Rational points, Arithmetic ground fields for curves, Arithmetic dynamics on general algebraic varieties Prime divisors in polynomial orbits 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 characteristic p; m-ple canonical mapping; elliptic surface; wild fibre; Kodaira dimension; deformation; lifting Katsura, T.; Ueno, K., On elliptic surfaces in characteristic \textit{p}, Math. Ann., 272, 291-330, (1985) Special surfaces, Local ground fields in algebraic geometry, Formal methods and deformations in algebraic geometry, Families, moduli, classification: algebraic theory On elliptic surfaces in characteristic p | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic modular curves; Weierstrass points; elliptic curves Ahlgren, S; Ono, K, Weierstrass points on \(X_0(p)\) and supersingular \(j\)-invariants, Math. Ann., 325, 355-368, (2003) Arithmetic aspects of modular and Shimura varieties, Elliptic curves, Riemann surfaces; Weierstrass points; gap sequences Weierstrass points on \(X_0(p)\) and supersingular \(j\)-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 Clifford's theorem; coding theory; divisors; curves over a finite field; curves with many rational points Arithmetic ground fields for curves, Geometric methods (including applications of algebraic geometry) applied to coding theory, Curves over finite and local fields, Bounds on codes, Finite ground fields in algebraic geometry, Enumerative problems (combinatorial problems) in algebraic geometry, Rational points, Divisors, linear systems, invertible sheaves Secant spaces and Clifford's theorem 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 characterizations of projective space; negative canonical bundle Kachi, Y., Kollár, J.: Characterizations of \({\mathbf P}^n\) in arbitrary characteristic. Asian J. Math. \textbf{4}(1), 115-121 (2000) \textbf{(Kodaira's issue)} Projective techniques in algebraic geometry, Divisors, linear systems, invertible sheaves, Arithmetic problems in algebraic geometry; Diophantine geometry Characterizations of \({\mathbb{P}}^N\) 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 isogeny; local-global principle; \(j\)-invariant; exceptional pair Elliptic curves over global fields, Galois representations, Global ground fields in algebraic geometry, Elliptic curves, Isogeny A local-global principle for isogenies of prime degree over number fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic reductive group scheme; polarization; degree bound; good filtration; matrix semi-invariants Actions of groups on commutative rings; invariant theory, Group schemes, Representation theory for linear algebraic groups Weyl's polarization 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 Weierstrass weight; Wronskian matrix; non-gap sequence; Fermat curves Towse, C.: Generalized wronskians and Weierstrass weights. Pac. J. Math. 193, 501-508 (2000) Riemann surfaces; Weierstrass points; gap sequences Generalized Wronskians and Weierstrass weights | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Projective techniques in algebraic geometry, Multiplicity theory and related topics, Ideals and multiplicative ideal theory in commutative rings, Linkage, complete intersections and determinantal ideals A Cayley-Bacharach theorem for points in \(\mathbb{P}^n\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Veronese variety; Veronesean and Hermitian caps Thas, J.A.; Van Maldeghem, H., Characterizations of quadric and Hermitian veroneseans over finite fields, J. Geom., 76, 282-293, (2003) Linear codes and caps in Galois spaces, Grassmannians, Schubert varieties, flag manifolds, Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations) Characterizations of quadric and Hermitian Veroneseans 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 algebraic differential operators; \({\mathcal D}\)-modules; Kashiwara's equivalence Burkhard Haastert, On direct and inverse images of \?-modules in prime characteristic, Manuscripta Math. 62 (1988), no. 3, 341 -- 354. Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Sheaves of differential operators and their modules, \(D\)-modules On direct and inverse images of \(\mathcal D\)-modules in prime characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Zarhin, {\relax Yu. G}., Endomorphisms of abelian varieties and points of finite order in characteristic {\(P\)}, Akademiya Nauk SSSR. Matematicheskie Zametki, 21, 737-744, (1977) Arithmetic problems in algebraic geometry; Diophantine geometry, Abelian varieties of dimension \(> 1\), Arithmetic ground fields for abelian varieties Endomorphisms of abelian varieties and points of finite order 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 automorphisms Fano varieties, Birational automorphisms, Cremona group and generalizations, \(3\)-folds A remark on the theorem on a three-dimensional quartic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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; rational points; function fields; Brauer-Manin obstruction Abelian varieties of dimension \(> 1\), Rational points, Varieties over global fields, Subvarieties of abelian varieties, Arithmetic ground fields for abelian varieties Rational points on subvarieties of abelian varieties over a function field (after Poonen and Voloch) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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 equations; Siegel's theorem; integral points on affine curves; function-fields of characteristic zero José Felipe Voloch, Siegel's theorem for complex function fields, Proc. Amer. Math. Soc. 121 (1994), no. 4, 1307 -- 1308. Elliptic curves over global fields, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Global ground fields in algebraic geometry Siegel's theorem for complex function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Arakelov geometry; arithmetic Riemann-Roch; automorphic forms; Jacquet-Langlands correspondence; Selberg zeta function Freixas i Montplet, G., The Jacquet-Langlands correspondence and the arithmetic Riemann-Roch theorem for pointed curves, Int. J. Number Theory, 8, 1-29, (2012) Arithmetic varieties and schemes; Arakelov theory; heights, Arithmetic aspects of modular and Shimura varieties, Automorphic forms, one variable, Spectral theory; trace formulas (e.g., that of Selberg) The Jacquet-Langlands correspondence and the arithmetic Riemann-Roch theorem for pointed curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic local-global principle; curves over local fields; homogeneous spaces Colliot-Thélène, J-L; Parimala, R.; Suresh, V., Patching and local-global principles for homogeneous spaces over function fields of \(p\)-adic curves, Comment. Math. Helv., 87, 1011-1033, (2012) Arithmetic algebraic geometry (Diophantine geometry), Quadratic forms over global rings and fields, Galois cohomology of linear algebraic groups, Rational points, Local ground fields in algebraic geometry, Linear algebraic groups over adèles and other rings and schemes Patching and local-global principles for homogeneous spaces over function fields of \(p\)-adic curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic semialgebraic set; semialgebraic function; real algebraic geometry; real closed ring; prime ideal; minimal prime ideal Fernando, On chains of prime ideals in rings of semialgebraic functions, Q. J. Math. 65 (3) pp 893-- (2014) Semialgebraic sets and related spaces, Real algebra, Prime and semiprime associative rings On chains of prime ideals in rings of semialgebraic functions | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Fermat curve; Hermitian curve; automorphism group; rational points; asymptotically good sequence Stichtenoth, H., The Fermat curve in characteristic \textit{p}, (Finite fields: theory, applications and algorithms, Contemporary mathematics, vol. 225, (1999), Amer. Math. Soc. Providence), 123-129 Curves over finite and local fields, Arithmetic ground fields for curves, Finite ground fields in algebraic geometry, Research exposition (monographs, survey articles) pertaining to number theory, Research exposition (monographs, survey articles) pertaining to algebraic geometry The Fermat 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 vanishing cycles; function fields Arithmetic theory of algebraic function fields, Zeta and \(L\)-functions in characteristic \(p\), Structure of families (Picard-Lefschetz, monodromy, etc.) Singularities and vanishing cycles in number theory 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 Tate-Shafarevich groups; smooth projective curve; finite groups schemes Galois cohomology, Algebraic functions and function fields in algebraic geometry, Curves over finite and local fields Duality theorems for function fields over higher 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 abelian varieties; algebraic independence; analog of Lindemann-Weierstrass theorem; Weierstrass elliptic function; complex multiplication; zero lemmas P. Philippon, Variétés abéliennes et indépendance algébrique. II. Un analogue abélien du théorème de Lindemann-Weierstraß, Invent. Math. 72 (1983), no. 3, 389 -- 405 (French). Algebraic independence; Gel'fond's method, Results involving abelian varieties, Arithmetic ground fields for abelian varieties Abelian varieties and algebraic independence. II: An abelian analogue of the Lindemann-Weierstrass 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 truth of abc conjecture implies truth of Mordell conjecture; Masser- Oesterlé abc-conjecture N. Elkies, \(ABC\) implies Mordell, Int. Math. Res. Notices (1991), no. 7, 99--109. Diophantine inequalities, Curves of arbitrary genus or genus \(\ne 1\) over global fields, Rational points \(abc\) implies Mordell | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic valued function fields; residue fields; reduction Transcendental field extensions, Algebraic functions and function fields in algebraic geometry On residue fields of elliptic and hyperelliptic 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 Veronese variety; Normal rational curve; Nucleus; Pascal's triangle; Multinomial coefficients; survey; nuclei of Veronese varieties; invariant subspaces of normal rational curves Havlicek H (2003) Veronese varieties over fields with non-zero characteristic: a survey. Discrete Math 267:159--173 Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations), Grassmannians, Schubert varieties, flag manifolds Veronese varieties over fields with non-zero characteristic: A survey | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic projective space; prime; invariant; hypersurface; nucleus; linear complex; geometric code D. G. Glynn, An invariant for hypersurfaces in prime characteristic, SIAM Journal on Discrete Mathematics, 26, 881, (2012) Actions of groups on commutative rings; invariant theory, Projective techniques in algebraic geometry, General theory of linear incidence geometry and projective geometries, Geometric methods (including applications of algebraic geometry) applied to coding theory An invariant for hypersurfaces in prime characteristic | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Tamagawa, A., \textit{on the fundamental groups of curves over algebraically closed fields of characteristic > 0}, Int. Math. Res. Not. (IMRN), 1999, 853-873, (1999) Coverings of curves, fundamental group, Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory), Arithmetic ground fields for curves On the fundamental groups of curves over algebraically closed 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 arithmetic dynamical systems; finite fields; rational maps; supersingular elliptic curves Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps, Dynamical systems over finite ground fields, Combinatorial structures in finite projective spaces, Elliptic curves On the iterations of the maps \(ax^{2^k}+b\) and \((a x^{2^k} + b)^{-1}\) over finite fields of 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 affinoid algebra; Picard group; homotopy invariance Rigid analytic geometry, \(K_0\) of other rings, Applications of methods of algebraic \(K\)-theory in algebraic geometry Towards a non-Archimedean analytic analog of the Bass-Quillen 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 Riemann-Hilbert correspondence, perfect modules, Frobenius modules, constructible étale sheaves Positive characteristic ground fields in algebraic geometry, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Étale and other Grothendieck topologies and (co)homologies A Riemann-Hilbert correspondence 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 Ax-Kochen-Ershov theorems; \(p\)-adic integrals; motivic integration R. Cluckers and F. Loeser, ''Ax-Kochen-Er\vsov Theorems for \(P\)-adic integrals and motivic integration,'' in Geometric Methods in Algebra and Number Theory, Bogomolov, F. and Tschinkel, Y., Eds., Basel: Birkhäuser Verlag, 2005, vol. 235, pp. 109-137. Valued fields, Model theory of fields, Arcs and motivic integration, Local ground fields in algebraic geometry Ax-Kochen-Eršov theorems for \(p\)-adic integrals and motivic integration | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(o\)-minimal; Rolle leaves; sub-Pfaffian Lion J.-M., Speissegger P.: The theorem of the complement for nested sub-pfaffian sets. Duke Math. J. 155, 35--90 (2010) Semialgebraic sets and related spaces, Pfaffian systems, Model theory The theorem of the complement for nested sub-Pfaffian sets | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic semisimple algebraic group; Borel subgroup; representation theory; cohomology of line bundles Humphreys, J.E.: Cohomology ofG/B in characteristicp. Adv. Math.59 170--183 (1986) Cohomology theory for linear algebraic groups, Representation theory for linear algebraic groups, Classical groups (algebro-geometric aspects) Cohomology of G/B in characteristic p | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic division algebras; reduced norms; function field of \(p\)-adic curves; Galois cohomology Galois cohomology of linear algebraic groups, Curves over finite and local fields, Galois cohomology, Algebraic functions and function fields in algebraic geometry, Finite-dimensional division rings Local-global principle for reduced norms over function fields of \(p\)-adic curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Pries, R.; Stevenson, K., A survey of Galois theory of curves in characteristic \textit{p}, Fields Inst. Commun., 60, 169-191, (2011) Coverings of curves, fundamental group, Jacobians, Prym varieties, Curves over finite and local fields, Proceedings, conferences, collections, etc. pertaining to number theory, Research exposition (monographs, survey articles) pertaining to algebraic geometry A survey of Galois theory of curves in characteristic \(p\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic poles of complex powers of polynomial functions; p-adic integral; zeros of the b-function; prehomogeneous vector space DOI: 10.2307/2374750 Prehomogeneous vector spaces, Hypersurfaces and algebraic geometry, Homogeneous spaces and generalizations On the poles of \(p\)-adic complex powers and the \(b\)-functions of prehomogeneous vector spaces | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic modular elliptic curves; \(p\)-adic Birch-Swinnerton-Dyer conjecture; Heegner points; \(p\)-adic \(L\)-functions; Cherednik-Drinfeld uniformization; Mazur-Tate-Teitelbaum conjectures Bertolini, Massimo; Darmon, Henri, Heegner points, \(p\)-adic \(L\)-functions, and the Cerednik-Drinfeld uniformization, Invent. Math., 131, 3, 453-491, (1998) \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Elliptic curves over global fields, Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols Heegner points, \(p\)-adic \(L\)-functions, and the Cherednik-Drinfeld uniformization | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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; varieties over local ground fields; étale cohomology; motivic Galois representations; elliptic curves J. Coates, R. Sujatha and J.-P. Wintenberger, On the Euler-Poincaré characteristics of finite dimensional \(p\)-adic Galois representations, Publ. Math. Inst. Hautes Études Sci. 93 (2001), 107-143. Galois representations, \(p\)-adic theory, local fields, Local ground fields in algebraic geometry, Étale and other Grothendieck topologies and (co)homologies, Motivic cohomology; motivic homotopy theory, Elliptic curves over local fields On the Euler-Poincaré characteristics of finite dimensional \(p\)-adic Galois representations. | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(p\)-adic integration; \(p\)-adic cell decomposition; rectilinearization; rationality of Serre Poincaré series Cluckers, R; Leenknegt, E, Rectilinearization of semi-algebraic \(p\)-adic sets and denef's rationality of poincare series, J. Number Theory, 128, 2185-2197, (2008) Local ground fields in algebraic geometry, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.) Rectilinearization of semi-algebraic \(p\)-adic sets and Denef's rationality of Poincaré series | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic varieties over finite fields; l-adic sheaves; Langlands correspondence; bounded ramification Esnault, Hélène; Kerz, Moritz, A finiteness theorem for Galois representations of function fields over finite fields (after Deligne), Acta Math. Vietnam., 37, 4, 531-562, (2012) Varieties over finite and local fields, Finite ground fields in algebraic geometry A finiteness theorem for Galois representations of function fields over finite fields (after Deligne) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Bergman space; Wiegerinck conjecture; Riemann surface Vector bundles on curves and their moduli, Riemann surfaces, Bergman spaces and Fock spaces On a theorem of Wiegerinck | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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 \(K\)-rational points; characteristic \(p\); Hasse-Witt matrix; Picard curve J. Estrada Sarlabous, On the Jacobian varieties of Picard curves defined over fields of characteristic \?>0, Math. Nachr. 152 (1991), 329 -- 340. Finite ground fields in algebraic geometry, Jacobians, Prym varieties, Enumerative problems (combinatorial problems) in algebraic geometry, Special algebraic curves and curves of low genus, Rational points On the Jacobian varieties of Picard curves defined over fields of 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 Arithmetic ground fields for abelian varieties, Abelian varieties of dimension \(> 1\) Some specialization theorems for families 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 absolute Galois group; Shafarevich's conjecture; free profinite group; quasi-free profinite group; function field; real closed field; Laurent series field Harbater, D., On function fields with free absolute Galois groups, Journal für die Reine und Angewandte Mathematik, 632, 85-103, (2009) Inverse Galois theory, Separable extensions, Galois theory, Coverings of curves, fundamental group, Limits, profinite groups, Field arithmetic On function fields with free absolute Galois 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 2-dimensional local ring; local-global principle; quadratic forms; complete local domain Yong Hu, Local-global principle for quadratic forms over fraction fields of two-dimensional Henselian domains, Ann. Inst. Fourier (Grenoble) 62 (2012), no. 6, 2131 -- 2143 (2013) (English, with English and French summaries). Quadratic forms over local rings and fields, Quadratic and bilinear Diophantine equations, \(p\)-adic and power series fields, Arithmetic problems in algebraic geometry; Diophantine geometry Local-global principle for quadratic forms over fraction fields of two-dimensional henselian domains | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(*\)-algebra; Fejér-Riesz theorem; unilateral shift operator; noncommutative positivstellensatz; Toeplitz algebra Savchuk, Y.; Schmüdgen, K.: A noncommutative version of the Fejér-Riesz theorem, Proc. amer. Math. soc. 138, No. 4, 1243-1248 (2010) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators, Noncommutative algebraic geometry, Trigonometric polynomials, inequalities, extremal problems, Linear operators in \({}^*\)-algebras, Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) A noncommutative version of the Fejér-Riesz 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 Noether problem; rationality; del Pezzo surfaces; minimal model program; Cremona group Trepalin, Andrey S., Rationality of the quotient of \(\mathbb{P}^2\) by finite group of automorphisms over arbitrary field of characteristic zero, Cent. Eur. J. Math., 12, 2, 229-239, (2014) Birational automorphisms, Cremona group and generalizations, Rationality questions in algebraic geometry, Group actions on varieties or schemes (quotients), Rational and unirational varieties, Actions of groups on commutative rings; invariant theory Rationality of the quotient of \(\mathbb P^2\) by finite group of automorphisms over arbitrary field 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 Belyi's theorem; algebraic curves; characteristic two; tame covering Arithmetic aspects of dessins d'enfants, Belyĭ theory, Curves over finite and local fields, Positive characteristic ground fields in algebraic geometry, Algebraic functions and function fields in algebraic geometry Belyi's theorem in characteristic two | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Schmidt's Subspace theorem; function field; diophantine approximation; Chow form; Hilbert weight; degree of contact M. Ru and J. T.-Y. Wang, An effective Schmidt's subspace theorem for projective varieties over function fields, Int. Math. Res. Not. IMRN 3 (2012), 651--684. Schmidt Subspace Theorem and applications, Arithmetic varieties and schemes; Arakelov theory; heights, Value distribution theory in higher dimensions An effective Schmidt's subspace theorem for projective varieties over function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Motivic cohomology; motivic homotopy theory, Varieties over finite and local fields, Algebraic cycles, Étale and other Grothendieck topologies and (co)homologies, \(p\)-adic cohomology, crystalline cohomology Characteristic 0 and \(p\) analogies, and some motivic 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 function fields; curves of genus greater than 1; finite number of points defined over the ground field Curves of arbitrary genus or genus \(\ne 1\) over global fields, Arithmetic theory of algebraic function fields, Rational points Diophantine equations 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 polynomial equations of genus zero and one; function field; algorithms; effective determination; diophantine equations in two unknowns; Thue equations; hyperelliptic equations; fundamental inequality; fields of positive characteristic; explicit bounds; solutions in rational functions; superelliptic equations R. C. Mason, \textit{Diophantine Equations over Function Fields.} London Mathematical Society Lecture Note Series, Vol. 96. Cambridge Univ. Press, Cambridge, 1984. \(p\)-adic and power series fields, Research exposition (monographs, survey articles) pertaining to number theory, Arithmetic theory of algebraic function fields, Exponential Diophantine equations, Diophantine equations, Approximation to algebraic numbers, Higher degree equations; Fermat's equation, Rational points Diophantine equations 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 Algebraic moduli of abelian varieties, classification, Complex multiplication and moduli of abelian varieties A short guide to \(p\)-torsion of abelian varieties 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 equivariant embedding; spherical homogeneous space; Frobenius splitting Compactifications; symmetric and spherical varieties, Group actions on varieties or schemes (quotients) Embeddings of spherical homogeneous spaces 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 hyperplane section; Lefschetz pencil; Bertini theorem; discrete valuation ring Jannsen, U.; Saito, S., Bertini theorems and Lefschetz pencils over discrete valuation rings, with applications to higher class field theory, J. Algebr. Geom., 21, 683-705, (2012) Divisors, linear systems, invertible sheaves, Pencils, nets, webs in algebraic geometry, Projective techniques in algebraic geometry Bertini theorems and Lefschetz pencils over discrete valuation rings, with applications to higher class field 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 non-Kähler threefold; Kummer surface; Jacobian; elliptic fibration; rational points of infinite order Ueno, K, A remark on automorphisms of Kummer surfaces in characteristic p, J. Math. Kyoto Univ., 26, 3, (1986) Special surfaces, Rational points, Finite ground fields in algebraic geometry, Global differential geometry of Hermitian and Kählerian manifolds A remark on automorphisms of Kummer 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 Group actions on varieties or schemes (quotients), Linear algebraic groups over arbitrary fields, Homogeneous spaces and generalizations, Representation theory for linear algebraic groups On the \(W\)-action on \(B\)-sheets 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 Varieties over finite and local fields, Other character sums and Gauss sums, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Special surfaces, Finite ground fields in algebraic geometry A Brauer-Siegel theorem for Fermat surfaces 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 subanalytic set; rationality of Poincaré series; Igusa's local zeta function; formal languages J. Denef , Multiplicity of the poles of the Poincare series of a p-adic subanalytic set , Sem. Theorie des Nombres de Bordeaux (1988, Expose 43), 43-01-43-08. Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), Non-Archimedean valued fields, Semi-analytic sets, subanalytic sets, and generalizations, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Zeta functions and \(L\)-functions Multiplicity of the poles of the Poincaré series of a p-adic subanalytic set | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Prym variety; rational points; Galois covering Rational points, Coverings of curves, fundamental group, Jacobians, Prym varieties Rational points on abelian varieties over function fields and Prym 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 Vojta's conjecture; Griffiths' conjecture; rational surfaces; subspace theorem; \(abc\) conjecture; Farey sequences Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.), Value distribution theory in higher dimensions, Global ground fields in algebraic geometry, Farey sequences; the sequences \(1^k, 2^k, \dots\), Schmidt Subspace Theorem and applications, Arithmetic varieties and schemes; Arakelov theory; heights, Rational and ruled surfaces Vojta's conjecture on rational surfaces and the \(abc\) conjecture | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Appell functions; modular embedding; monodromy group; arithmetic group P. COHEN , J. WOLFART , Monodromie des fonctions d'Appell, variétés abéliennes et plongement modulaire (M.P.I., Bonn, 1989 - 1980 ). Group actions on varieties or schemes (quotients), Algebraic theory of abelian varieties, Homogeneous spaces and generalizations Monodromy of Appell functions, abelian varieties and modular embedding | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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 local monodromy theorem; \(p\)-adic differential equations; Robba ring Kedlaya, K., A \(p\)-adic monodromy theorem, Ann. Math., 160, 93-184, (2004) \(p\)-adic cohomology, crystalline cohomology, \(p\)-adic differential equations, Varieties over finite and local fields A \(p\)-adic local monodromy theorem | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic fundamental groups of curves; positive characteristic; quotients of the fundamental group; Abhyankar's conjecture; formal/rigid-analytic patching -, Fundamental groups of curves in characteristic \(p\), in Proceedings of the International Congress of Mathematicians, 1, 2 (Zürich, 1994), Birkhäuser, 1995, pp. 656-666. Coverings of curves, fundamental group, Homotopy theory and fundamental groups in algebraic geometry, Inverse Galois theory, Finite ground fields in algebraic geometry, Local ground fields in algebraic geometry Fundamental groups of curves in characteristic \(p\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic finiteness theorem; surface over a \(p\)-adic field; Kodaira dimension; Witt group Saito, S.; Sujatha, R., \textit{A finiteness theorem for cohomology of surfaces over \textit{p}-adic fields and an application to Witt groups}, \textit{K}-theory and algebraic geometry: connections with quadratic forms and division algebras (Santa Barbara, CA, 1992), 403-415, (1995), American Mathematical Society, Providence, RI \(p\)-adic cohomology, crystalline cohomology, Witt groups of rings, Special surfaces, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Local ground fields in algebraic geometry, Vanishing theorems in algebraic geometry A finiteness theorem for cohomology of surfaces over \(p\)-adic fields and an application to Witt 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 monoidal transformations; singular point; blow-ups Moh, T. T., On a stability theorem for local uniformization in characteristic \(p\), Publ. Res. Inst. Math. Sci., 23, 6, 965-973, (1987) Singularities in algebraic geometry, Rational and birational maps, Deformations of singularities, Formal power series rings On a stability theorem for local uniformization 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 Chow group; cycle map; Kato homology; affine Lefschetz; Bertini theorem Saito, Shuji; Sato, Kanetomo, A finiteness theorem for zero-cycles over \textit{p}-adic fields, Ann. of Math. (2), 172, 3, 1593-1639, (2010), With an appendix by Uwe Jannsen, MR 2726095 (2011m:14010) (Equivariant) Chow groups and rings; motives, Local ground fields in algebraic geometry A finiteness theorem for zero-cycles 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 Plücker formulas; Weierstrass points; hyperosculation; positive characteristic; Wronskian points; gap sequence Laksov, D., Wronskians and Plücker formulas for linear systems on curves, Ann. Sci. Éc. Norm. Supér. (4), 17, 45-66, (1984) Riemann surfaces; Weierstrass points; gap sequences, Divisors, linear systems, invertible sheaves, Enumerative problems (combinatorial problems) in algebraic geometry, Curves in algebraic geometry Wronskians and Plücker formulas for linear systems on curves | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic abelian varieties; endomorphism algebras; Riemann-Roch theorem Algebraic theory of abelian varieties Reduced norms and the Riemann-Roch theorem for 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 Fano varieties, \(3\)-folds, Finite ground fields in algebraic geometry On Fano threefolds in characteristics \(p\). II | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Exponential sums over finite fields; Deligne equidistribution theorem Kowalski, E.: Some aspects and applications of the Riemann hypothesis over finite fields, Milan J. Math. 78, 179-220 (2010) Exponential sums, Étale and other Grothendieck topologies and (co)homologies, Gauss and Kloosterman sums; generalizations, Finite ground fields in algebraic geometry Some aspects and applications of the Riemann hypothesis 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 Kummer extension; rational function field; splitting of prime divisors; genus; smooth projective curve Xing, C. P.: Multiple Kummer Extensions and the Number of Prime Divisors of Degree One in Function Fields. J. of Pure and Appl. Algebra84, 85--93 (1993) Arithmetic theory of algebraic function fields, Curves over finite and local fields, Algebraic coding theory; cryptography (number-theoretic aspects), Algebraic functions and function fields in algebraic geometry Multiple Kummer extension and the number of prime divisors of degree one in function fields | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic rational map; field of definition; moduli field Hidalgo, Rubén A., A simple remark on the field of moduli of rational maps, Q. J. Math., 65, 2, 627-635, (2014) Algebraic functions and function fields in algebraic geometry, Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization), Rational and birational maps, Coverings of curves, fundamental group, Families, moduli of curves (algebraic) A simple remark on the field of moduli of rational maps | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic I. V. Dolgachev, On elements of order \(p^{s}\) in the plane Cremona group over a field of characteristic \(p,\) Tr. Mat. Inst. Steklova 264 (2009), 55-62 (Russian); English translation in Proc. Steklov Inst. Math. 264 (2009), 48-55. Birational automorphisms, Cremona group and generalizations, Positive characteristic ground fields in algebraic geometry On elements of order \(p^s\) in the plane Cremona group over a field of characteristic \(p\) | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic Jacobian points; theta constant Theta functions and abelian varieties A remark on the vanishing of the theta constant with a real 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 Grassmannians, Schubert varieties, flag manifolds, (Co)homology theory in algebraic geometry, Grothendieck groups and \(K_0\) On the nonexistence of certain morphisms from Grassmannian to Grassmannian in 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 Heegner cycles; \(p\)-adic \(L\)-functions Holomorphic modular forms of integral weight, Modular and Shimura varieties Generalized Heegner cycles and \(p\)-adic \(L\)-functions in a quaternionic setting | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(p\)-adic height pairing; abelian variety; pro-finite Selmer group Arithmetic ground fields for abelian varieties, Global ground fields in algebraic geometry Plater's \(p\)-adic orthogonality relation for abelian varieties | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass points; gap sequences, Approximation in non-Archimedean valuations, Diophantine inequalities A note on Wronskians and the ABC theorem in function fields of prime characteristic \(p\)-adic heights; Selmer groups; abelian varieties; Shafarevich group; Tamagawa number; characteristic series; \(p\)-adic representations; Iwasawa modules; torsion modules Perrin-Riou, B. : Théorie d'lwasawa et hauteurs p-adiques: cas des variétés abéliennes , Séminaire de théorie des nombres de Paris 90/91. Iwasawa theory, Abelian varieties of dimension \(> 1\), Arithmetic ground fields for abelian varieties, \(L\)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture Iwasawa theory and \(p\)-adic heights (case 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 Mennicke symbols; K-cohomology; prestabilization; Bass-Kubota theorem Suslin, A.A.: Mennicke symbols and their application in the \(K\)-theory of fields. In: Algebraic \(K\)-theory, Part I (Oberwolfach, 1980), Vol. 966 of Lecture Notes in Mathematics, pp. 334-356. Springer, Berlin (1982) Relations of \(K\)-theory with cohomology theories, Projective and free modules and ideals in commutative rings, Algebraic cycles, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Stability for projective modules, Stability for linear groups, Hermitian \(K\)-theory, relations with \(K\)-theory of rings Mennicke symbols, \(K\)-cohomology and a Bass-Kubota 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 Parametrization (Chow and Hilbert schemes), Divisors, linear systems, invertible sheaves, Binomial coefficients; factorials; \(q\)-identities, Sheaves in algebraic geometry, Enumerative problems (combinatorial problems) in algebraic geometry On Okounkov's conjecture connecting Hilbert schemes of points and multiple \(q\)-zeta values | 0 |
ABC theorem in function fields; Diophantine approximation in prime characteristic; ABC theorem; truncated second main theorem; function fields of characteristic \(p\); nonvanishing result for Wronskian Julie Tzu-Yueh Wang, A note on Wronskians and the \?\?\? theorem in function fields of prime characteristic, Manuscripta Math. 98 (1999), no. 2, 255 -- 264. Diophantine equations, Arithmetic theory of algebraic function fields, Riemann surfaces; Weierstrass 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; purely inseparable; strongly semistable; rational point; function field; Harder-Narashima filtration Rössler, D.: On the group of purely inseparable points of an abelian variety defined over a function field of positive characteristic, Comment. math. Helv. 90, No. 1, 23-32 (2015) Abelian varieties of dimension \(> 1\), Rational points, Varieties over finite and local fields On the group of purely inseparable points of an abelian variety defined over a function field of positive characteristic | 0 |
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