Models of abelian varieties over valued fields, using model theory

DOI10.1016/j.aim.2024.109938MaRDI QIDQ6633108

Yatir Halevi

Publication date: 5 November 2024

Published in: Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

elliptic curvesgroup schemesvalued fieldsNéron modelsACVFgenerically stable groups

Mathematics Subject Classification ID

Elliptic curves (14H52) Non-Archimedean valued fields (12J25) Applications of model theory (03C98) Group schemes (14L15) Abelian varieties and schemes (14K99)

Cites Work

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• On stably pointed varieties and generically stable groups in ACVF
• Algebraic Geometry. I: Complex projective varieties.
• Corrigendum to: ``On stably pointed varieties and generically stable groups in ACVF
• Valued fields, metastable groups
• Modèles minimaux des variétés abéliennes sur les corps locaux et globaux
• Finitely generated rings over a valuation ring
• Faisceaux amples sur les schémas en groupes et les espaces homogènes
• Dependent first order theories, continued
• Non-Archimedean Tame Topology and Stably Dominated Types
• Elimination of ramification I: The generalized stability theorem
• Definable sets in algebraically closed valued fields: elimination of imaginaries
• The Arithmetic of Elliptic Curves
• Arithmetic Moduli of Elliptic Curves. (AM-108)
• Néron Models
• Stable Groups and Algebraic Groups
• A Guide to NIP Theories
• SATURATED MODELS FOR THE WORKING MODEL THEORIST
• THEORIES WITH DISTAL SHELAH EXPANSIONS

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