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Moduli of Abelian Varieties

  • Book
  • © 1996

Overview

Authors:
  1. Allan Adler
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    You can also search for this author in PubMed   Google Scholar

  2. Sundararaman Ramanan
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    You can also search for this author in PubMed   Google Scholar

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

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-vi
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  2. Introduction

    • Allan Adler, Sundararaman Ramanan
    Pages 1-7

  3. Standard Heisenberg Groups

    • Allan Adler, Sundararaman Ramanan
    Pages 8-17

  4. Heisenberg groups of line bundles on abelian varieties

    • Allan Adler, Sundararaman Ramanan
    Pages 18-30

  5. Theta structures and the addition formula

    • Allan Adler, Sundararaman Ramanan
    Pages 31-51

  6. Geometry and arithmetic of the fundamental relations

    • Allan Adler, Sundararaman Ramanan
    Pages 52-76

  7. Invariant theory, arithmetic and vector bundles

    • Allan Adler, Sundararaman Ramanan
    Pages 77-106

  8. Back Matter

    Pages 107-198
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Keywords

About this book

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.

Bibliographic Information

  • Book Title: Moduli of Abelian Varieties

  • Authors: Allan Adler, Sundararaman Ramanan

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0093659

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1996

  • Softcover ISBN: 978-3-540-62023-5Published: 16 December 1996

  • eBook ISBN: 978-3-540-49609-0Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VI, 202

  • Topics: Algebraic Geometry, Number Theory

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