Model Theory and Algebraic Geometry

Volume 1696 of the series Lecture Notes in Mathematics pp 85-100

Introduction to abelian varieties and the Mordell-Lang conjecture

  • Marc HindryAffiliated withUFR de Mathématiques, Université Paris 7

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Our aim in this brief survey is to try and give an intuition about abelian varieties to model theorists, working mainly over the complex field. We then try to motivate the Lang conjecture, also called the Mordell-Lang conjecture, showing especially how it generalizes Mordell’s conjecture.