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Introduction to abelian varieties and the Mordell-Lang conjecture

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Model Theory and Algebraic Geometry

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1696))

Abstract

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.

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Author information

Authors and Affiliations

  1. UFR de Mathématiques, Université Paris 7, 2 place Jussieu, 75251, Paris Cedex 05, France

    Marc Hindry

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  1. Marc Hindry
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Editor information

Editors and Affiliations

  1. UFR de Mathématiques, Université Paris 7 - C.N.R.S., 2 Place Jussieu, case 7012, F-75251, Paris Cedex 05, France

    Elisabeth Bouscaren

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© 1998 Springer-Verlag Berlin Heidelberg

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Hindry, M. (1998). Introduction to abelian varieties and the Mordell-Lang conjecture. In: Bouscaren, E. (eds) Model Theory and Algebraic Geometry. Lecture Notes in Mathematics, vol 1696. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-68521-0_5

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  • DOI: https://doi.org/10.1007/978-3-540-68521-0_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64863-5

  • Online ISBN: 978-3-540-68521-0

  • eBook Packages: Springer Book Archive

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