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Lectures on the Mordell-Weil Theorem

  • Book
  • © 1989

Overview

Authors:
  1. Jean-Pierre Serre

    1. Collège de France, Paris, France

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Editors:
  1. Martin Brown
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Part of the book series: Aspects of Mathematics (ASMA, volume E 15)

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Table of contents (13 chapters)

  1. Front Matter

    Pages I-X
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  2. Summary

    • Jean-Pierre Serre
    Pages 1-6

  3. Heights

    • Jean-Pierre Serre
    Pages 7-28

  4. Normalised Heights

    • Jean-Pierre Serre
    Pages 29-48

  5. The Mordell-Weil Theorem

    • Jean-Pierre Serre
    Pages 49-57

  6. Mordell’s Conjecture

    • Jean-Pierre Serre
    Pages 58-80

  7. Local Calculation of Normalised Heights

    • Jean-Pierre Serre
    Pages 81-93

  8. Siegel’s Method

    • Jean-Pierre Serre
    Pages 94-107

  9. Baker’s Method

    • Jean-Pierre Serre
    Pages 108-120

  10. Hilbert’s Irreducibility Theorem

    • Jean-Pierre Serre
    Pages 121-136

  11. Construction of Galois Extensions

    • Jean-Pierre Serre
    Pages 137-151

  12. Construction of Elliptic Curves of Large Rank

    • Jean-Pierre Serre
    Pages 152-162

  13. The Large Sieve

    • Jean-Pierre Serre
    Pages 163-176

  14. Application of the Large Sieve to Thin Sets

    • Jean-Pierre Serre
    Pages 177-187

  15. Back Matter

    Pages 188-220
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Keywords

Authors and Affiliations

  • Collège de France, Paris, France

    Jean-Pierre Serre

Bibliographic Information

  • Book Title: Lectures on the Mordell-Weil Theorem

  • Authors: Jean-Pierre Serre

  • Editors: Martin Brown

  • Series Title: Aspects of Mathematics

  • DOI: https://doi.org/10.1007/978-3-663-14060-3

  • Publisher: Vieweg+Teubner Verlag Wiesbaden

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Fachmedien Wiesbaden 1989

  • Softcover ISBN: 978-3-528-08968-9

  • eBook ISBN: 978-3-663-14060-3

  • Series ISSN: 0179-2156

  • Edition Number: 1

  • Number of Pages: X, 220

  • Topics: Algebraic Geometry, Geometry, Mathematics, general

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