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© 1996

Moduli of Abelian Varieties

  • Authors
Book

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

  • Book Title Moduli of Abelian Varieties
  • Authors Allan Adler
    Sundararaman Ramanan
  • Series Title Lecture Notes in Mathematics
  • Series Abbreviated Title Lecture Notes in Mathematics
  • DOI https://doi.org/10.1007/BFb0093659
  • Copyright Information Springer-Verlag Berlin Heidelberg 1996
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-540-62023-5
  • eBook ISBN 978-3-540-49609-0
  • Series ISSN 0075-8434
  • Series E-ISSN 1617-9692
  • Edition Number 1
  • Number of Pages VI, 202
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Algebraic Geometry
    Number Theory
  • Buy this book on publisher's site
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