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© 2004

Mixed Automorphic Forms, Torus Bundles, and Jacobi Forms

  • Authors
Book

Part of the Lecture Notes in Mathematics book series (LNM, volume 1845)

Table of contents

  1. Front Matter
    Pages I-X
  2. Min Ho Lee
    Pages 1-9
  3. Min Ho Lee
    Pages 11-34
  4. Min Ho Lee
    Pages 141-175
  5. Min Ho Lee
    Pages 177-207
  6. Min Ho Lee
    Pages 209-230
  7. Min Ho Lee
    Pages 231-236
  8. Back Matter
    Pages 237-239

About this book

Introduction

This volume deals with various topics around equivariant holomorphic maps of Hermitian symmetric domains and is intended for specialists in number theory and algebraic geometry. In particular, it contains a comprehensive exposition of mixed automorphic forms that has never yet appeared in book form. The main goal is to explore connections among complex torus bundles, mixed automorphic forms, and Jacobi forms associated to an equivariant holomorphic map. Both number-theoretic and algebro-geometric aspects of such connections and related topics are discussed.

Keywords

Jacobi forms Kuga fiber varieties abelian varieties automorphic forms number theory

Bibliographic information

  • Book Title Mixed Automorphic Forms, Torus Bundles, and Jacobi Forms
  • Authors Min Ho Lee
  • Series Title Lecture Notes in Mathematics
  • Series Abbreviated Title LNM
  • DOI https://doi.org/10.1007/b97773
  • Copyright Information Springer-Verlag Berlin Heidelberg 2004
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-540-21922-4
  • eBook ISBN 978-3-540-40978-6
  • Series ISSN 0075-8434
  • Series E-ISSN 1617-9692
  • Edition Number 1
  • Number of Pages X, 250
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Number Theory
    Algebraic Geometry
  • Buy this book on publisher's site
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Reviews

From the reviews:

"This book discusses about various topics that center around equivariant holomorphic maps of Hermitian symmetric domains. In particular, this book contains a comprehensive exposition of mixed automorphic forms that has never appeared in book form. … The main goal of this book is to explore connections among complex torus bundles, mixed automorphic forms, and Jacobi forms ... ." (Masakazu Muro, Zentralblatt MATH, Vol. 1063, 2005)