Groupes de Picard et problèmes de Skolem. II

DOI10.24033/asens.1582zbMath0704.14015OpenAlexW4205835232MaRDI QIDQ3483386

Laurent Moret-Bailly

Publication date: 1989

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1989_4_22_2_181_0

zbMATH Keywords

rational pointsring of algebraic numbersSkolem problemssolution of system of diophantine equations

Mathematics Subject Classification ID

Higher degree equations; Fermat's equation (11D41) Algebraic numbers; rings of algebraic integers (11R04) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Global ground fields in algebraic geometry (14G25)

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Fields on the bottom, Galois representations., On a question of Abraham Robinson, Descent varieties for algebraic covers, Groupes de Picard et problèmes de Skolem. I, Recent results in the theory of constant reductions, On certain reduction problems concerning abelian surfaces, Elementary geometric local-global principles for fields, Reciprocity in the Langlands program since Fermat's last theorem, Potential automorphy over CM fields, Mod $p$ points on Shimura varieties of abelian type, The index of an algebraic variety, Potential automorphy and change of weight, Monodromy for some rank two Galois representations over CM fields, Construction of coverings of pointed curves, Automorphic realization of residual Galois representations, Galois covers and the Hilbert-Grunwald property, Galois representations, automorphic forms, and the Sato-Tate conjecture, From Picard groups of hyperelliptic curves to class groups of quadratic fields, Abelian surfaces over totally real fields are potentially modular, Rumely's local global principle for weakly P\(\mathcal S\)C fields over holomorphy domains, Serre's modularity conjecture. II, Harbater-Mumford subvarieties of moduli spaces of covers, PRIMITIVE RECURSIVE DECIDABILITY FOR THE RING OF INTEGERS OF THE COMPOSITUM OF ALL SYMMETRIC EXTENSIONS OF ℚ

Cites Work

• On diophantine equations over the ring of all algebraic integers
• Théoremes de Bertini et applications
• Versal deformations and algebraic stacks
• The irreducibility of the space of curves of a given genus
• Algebraic spaces
• Groupes de Picard et problèmes de Skolem. I
• Arithmetic over the rings of all algebraic integers.
• Compactifying the Picard Scheme II
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