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Arithmetic Theory of Elliptic Curves

Lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.)held in Cetaro, Italy, July 12-19, 1997

  • Book
  • © 1999

Overview

Authors:
  1. John H. Coates
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  2. Kenneth A. Ribet
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  3. Ralph Greenberg
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  4. Karl Rubin
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Editors:
  1. Carlo Viola
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1716)

Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)

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Table of contents (4 chapters)

  1. Front Matter

    Pages I-VIII
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  2. Fragments of the GL2 Iwasawa theory of elliptic curves without complex multiplication

    • John Coates
    Pages 1-50

  3. Iwasawa theory for elliptic curves

    • Ralph Greenberg
    Pages 51-144

  4. Torsion points on J 0(N) and Galois representations

    • Kenneth A. Ribet
    Pages 145-166

  5. Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer

    • Karl Rubin
    Pages 167-234

  6. Back Matter

    Pages 235-260
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Keywords

About this book

This volume contains the expanded versions of the lectures given by the authors at the C.I.M.E. instructional conference held in Cetraro, Italy, from July 12 to 19, 1997. The papers collected here are broad surveys of the current research in the arithmetic of elliptic curves, and also contain several new results which cannot be found elsewhere in the literature. Owing to clarity and elegance of exposition, and to the background material explicitly included in the text or quoted in the references, the volume is well suited to research students as well as to senior mathematicians.

Bibliographic Information

  • Book Title: Arithmetic Theory of Elliptic Curves

  • Book Subtitle: Lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.)held in Cetaro, Italy, July 12-19, 1997

  • Authors: John H. Coates, Kenneth A. Ribet, Ralph Greenberg, Karl Rubin

  • Editors: Carlo Viola

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0093451

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1999

  • Softcover ISBN: 978-3-540-66546-5Published: 19 October 1999

  • eBook ISBN: 978-3-540-48160-7Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 264

  • Topics: Number Theory, Algebraic Geometry

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