One-basedness and reductions of elliptic curves over real closed fields

DOI10.1090/S0002-9947-2014-06099-6zbMath1375.03044arXiv1208.0708OpenAlexW2158767509MaRDI QIDQ5496648

Davide Penazzi

Publication date: 2 February 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.0708

zbMATH Keywords

elliptic curvesreal closed fieldsPillay's conjecturealgebro-geometric reduction

Mathematics Subject Classification ID

Elliptic curves (14H52) Classification theory, stability, and related concepts in model theory (03C45) Applications of model theory (03C98) Ordered fields (12J15)

Cites Work

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• One-basedness and groups of the form \(G/G ^{00}\)
• One-dimensional groups over an o-minimal structure
• Linear o-minimal structures
• Imaginaries in real closed valued fields
• Definable Sets in Ordered Structures. II
• A trichotomy theorem for o-minimal structures
• Weakly o-minimal structures and real closed fields
• TYPE-DEFINABILITY, COMPACT LIE GROUPS, AND o-MINIMALITY
• Groups, measures, and the NIP
• Valued Fields
• Embedded o-minimal structures

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