Model theory and algebraic geometry. An introduction to E. Hrushovski's proof of the geometric Mordell-Lang conjecture

DOI10.1007/978-3-540-68521-0zbMath0920.03046OpenAlexW2496444478MaRDI QIDQ1264965

No author found.

Publication date: 6 October 1998

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-68521-0

zbMATH Keywords

abelian varietyAlgebraic geometryMordell-Lang conjectureseparably closed fieldModel theorydifferentially closed fieldmodel-theoretic stabilityomega-stable groupZariski geometry

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Collections of articles of miscellaneous specific interest (00B15) Rational points (14G05) Abelian varieties of dimension (> 1) (11G10) Research exposition (monographs, survey articles) pertaining to mathematical logic and foundations (03-02) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Arithmetic ground fields for abelian varieties (14K15) Classification theory, stability, and related concepts in model theory (03C45) Model theory (number-theoretic aspects) (11U09) Model theory of fields (12L12)

Related Items (11)

A theorem of Mumford and Ramanujam for universal algebras ⋮ Algebraization, transcendence, and \(D\)-group schemes ⋮ Generic expansion of an abelian variety by a subgroup ⋮ Definability and invariance ⋮ Diophantine Geometry from Model Theory ⋮ FORKING, IMAGINARIES, AND OTHER FEATURES OF ⋮ Sur les collapses de corps différentiels colorés en caractéristique nulle décrits par Poizat à l'aide des amalgames à la Hrushovski ⋮ Meromorphic groups ⋮ Book Review: The birth of model theory: Löwenheim’s theory in the frame of the theory of relatives ⋮ v*-ALGEBRAS, INDEPENDENCE ALGEBRAS AND LOGIC ⋮ Model Theory in Algebra, Analysis and Arithmetic: A Preface

This page was built for publication: Model theory and algebraic geometry. An introduction to E. Hrushovski's proof of the geometric Mordell-Lang conjecture