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Moduli of Abelian Varieties

  • Authors
  • Allan¬†Adler
  • Sundararaman¬†Ramanan

Part of the Lecture Notes in Mathematics book series (LNM, volume 1644)

Table of contents

  1. Front Matter
    Pages i-vi
  2. Allan Adler, Sundararaman Ramanan
    Pages 1-7
  3. Allan Adler, Sundararaman Ramanan
    Pages 8-17
  4. Allan Adler, Sundararaman Ramanan
    Pages 18-30
  5. Allan Adler, Sundararaman Ramanan
    Pages 31-51
  6. Allan Adler, Sundararaman Ramanan
    Pages 52-76
  7. Allan Adler, Sundararaman Ramanan
    Pages 77-106
  8. Back Matter
    Pages 107-198

About this book

Introduction

This is a book aimed at researchers and advanced graduate students in algebraic geometry, interested in learning about a promising direction of research in algebraic geometry. It begins with a generalization of parts of Mumford's theory of the equations defining abelian varieties and moduli spaces. It shows through striking examples how one can use these apparently intractable systems of equations to obtain satisfying insights into the geometry and arithmetic of these varieties. It also introduces the reader to some aspects of the research of the first author into representation theory and invariant theory and their applications to these geometrical questions.

Keywords

abelian variety algebra invariant theory modular curve moduli space

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0093659
  • Copyright Information Springer-Verlag Berlin Heidelberg 1996
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-62023-5
  • Online ISBN 978-3-540-49609-0
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site