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  • © 2004

Mixed Automorphic Forms, Torus Bundles, and Jacobi Forms

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

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Table of contents (10 chapters)

  1. Front Matter

    Pages I-X
  2. Introduction

    • Min Ho Lee
    Pages 1-9
  3. 1. Mixed Automorphic Forms

    • Min Ho Lee
    Pages 11-34
  4. 6. Families of Abelian Varieties

    • Min Ho Lee
    Pages 141-175
  5. 7. Jacobi Forms

    • Min Ho Lee
    Pages 177-207
  6. 8. Twisted Torus Bundles

    • Min Ho Lee
    Pages 209-230
  7. References

    • Min Ho Lee
    Pages 231-236
  8. Back Matter

    Pages 237-239

About this book

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

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)

Bibliographic Information

  • Book Title: Mixed Automorphic Forms, Torus Bundles, and Jacobi Forms

  • Authors: Min Ho Lee

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/b97773

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2004

  • Softcover ISBN: 978-3-540-21922-4Published: 13 May 2004

  • eBook ISBN: 978-3-540-40978-6Published: 30 April 2004

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: X, 250

  • Topics: Number Theory, Algebraic Geometry

Buying options

eBook USD 39.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions