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Diophantine Approximation and Abelian Varieties

  • Bas Edixhoven
  • Jan-Hendrik Evertse
Conference proceedings

Part of the Lecture Notes in Mathematics book series (LNM, volume 1566)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Frits Beukers
    Pages 1-11
  3. Rob Tijdeman
    Pages 21-30
  4. Jan-Hendrik Evertse
    Pages 31-50
  5. Johan Huisman
    Pages 51-61
  6. Johan de Jong
    Pages 69-76
  7. Marius van der Put
    Pages 77-82
  8. Carel Faber
    Pages 83-91
  9. Robert-Jan Kooman
    Pages 93-96
  10. Bas Edixhoven
    Pages 97-110
  11. Gerard van der Geer
    Pages 111-116
  12. Back Matter
    Pages 123-127

About these proceedings

Introduction

The 13 chapters of this book centre around the proof of Theorem 1 of Faltings' paper "Diophantine approximation on abelian varieties", Ann. Math.133 (1991) and together give an approach to the proof that is accessible to Ph.D-level students in number theory and algebraic geometry. Each chapter is based on an instructional lecture given by its author ata special conference for graduate students, on the topic of Faltings' paper.

Keywords

Abelian Varieties Abelian variety Diophantine approximation Grad algebraic geometry number theory

Editors and affiliations

  • Bas Edixhoven
    • 1
  • Jan-Hendrik Evertse
    • 2
  1. 1.Institut MathématiqueUniversité de Rennes IRennes CedexFrance
  2. 2.Wiskunde en InformaticaUniversiteit LeidenLeidenThe Netherlands

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-48208-6
  • Copyright Information Springer Berlin Heidelberg 1993
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-57528-3
  • Online ISBN 978-3-540-48208-6
  • Series Print ISSN 0075-8434
  • Buy this book on publisher's site