Specialisations and algebraically closed fields

DOI10.1007/S40879-024-00764-YMaRDI QIDQ6633082

Uğur Efem

Publication date: 5 November 2024

Published in: European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

quantifier eliminationmodel theoryvalued fieldsalgebraically closed fieldsZariski geometriesZariski structuresspecialisations

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Valuations and their generalizations for commutative rings (13A18) Properties of classes of models (03C52) Model theory of fields (12L12) Quantifier elimination, model completeness, and related topics (03C10) Valued fields (12J10) Categoricity and completeness of theories (03C35) Foundations of algebraic geometry (14A99)

Cites Work

• Complete theories
• Quantifier elimination in pairs of algebraically closed fields
• Definable sets in algebraically closed valued fields: elimination of imaginaries
• Théories complètes de paires de corps valués henseliens
• Motivic Poisson summation
• Zariski geometries
• Lectures on the Model Theory of Valued Fields
• Equationally compact algebras (I)
• The Mordell-Lang conjecture for function fields
• The Manin-Mumford conjecture and the model theory of difference fields
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