Arithmetic Theory of Elliptic Curves

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

  • Authors
  • John H. Coates
  • Kenneth A. Ribet
  • Ralph Greenberg
  • Karl Rubin
  • Editors
  • Carlo Viola

Part of the Lecture Notes in Mathematics book series (LNM, volume 1716)

Table of contents

About this book

Introduction

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.

Keywords

Birch and Swinnerton-Dyer conjecture Iwasawa theory Multiplication Volume arithmetic complex multiplication elliptic curve elliptic curves modular curves presentation torsion

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0093451
  • Copyright Information Springer-Verlag Berlin Heidelberg 1999
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-66546-5
  • Online ISBN 978-3-540-48160-7
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book