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Model Theory and Algebraic Geometry

An introduction to E. Hrushovski's proof of the geometric Mordell-Lang conjecture

  • Book
  • © 1998

Overview

Editors:
  1. Elisabeth Bouscaren

    1. UFR de Mathématiques, Université Paris 7 - C.N.R.S., Paris Cedex 05, France

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

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Table of contents (11 chapters)

  1. Front Matter

    Pages I-XV
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  2. Introduction to model theory

    • Elisabeth Bouscaren
    Pages 1-18

  3. Introduction to stability theory and Morley rank

    • Martin Ziegler
    Pages 19-44

  4. Omega-stable groups

    • Daniel Lascar
    Pages 45-59

  5. Model theory of algebraically closed fields

    • Anand Pillay
    Pages 61-84

  6. Introduction to abelian varieties and the Mordell-Lang conjecture

    • Marc Hindry
    Pages 85-100

  7. The model-theoretic content of Lang’s conjecture

    • Anand Pillay
    Pages 101-106

  8. Zariski geometries

    • David Marker
    Pages 107-128

  9. Differentially closed fields

    • Carol Wood
    Pages 129-141

  10. Separably closed fields

    • Françoise Delon
    Pages 143-176

  11. Proof of the Mordell-Lang conjecture for function fields

    • Elisabeth Bouscaren
    Pages 177-196

  12. Proof of Manin’s theorem by reduction to positive characteristic

    • Ehud Hrushovski
    Pages 197-205

  13. Back Matter

    Pages 207-216
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Keywords

Editors and Affiliations

  • UFR de Mathématiques, Université Paris 7 - C.N.R.S., Paris Cedex 05, France

    Elisabeth Bouscaren

Bibliographic Information

  • Book Title: Model Theory and Algebraic Geometry

  • Book Subtitle: An introduction to E. Hrushovski's proof of the geometric Mordell-Lang conjecture

  • Editors: Elisabeth Bouscaren

  • Series Title: Lecture Notes in Mathematics

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

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1998

  • Softcover ISBN: 978-3-540-64863-5Published: 17 September 1998

  • eBook ISBN: 978-3-540-68521-0Published: 14 March 2009

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XV, 216

  • Topics: Algebraic Geometry, Mathematical Logic and Foundations, Number Theory

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