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Moduli of Abelian Varieties

  • Book
  • © 2001

Overview

Editors:
  1. Carel Faber

    1. Institutionen för Matematik, Kungliga Tekniska Högskolan (KTH), Stockholm, Sweden

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  2. Gerard Geer

    1. Korteweg de Vries Instituut, Universiteit van Amsterdam, Amsterdam, The Netherlands

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    You can also search for this editor in PubMed   Google Scholar

  3. Frans Oort

    1. Mathematisch Instituut, Universiteit Utrecht, Utrecht, The Netherlands

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Part of the book series: Progress in Mathematics (PM, volume 195)

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-xii
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  2. On Extra Components in the Functorial Compactification of A g

    • Valery Alexeev
    Pages 1-9

  3. On Mumford’s Uniformization and Neron Models of Jacobians of Semistable Curves over Complete Rings

    • Fabrizio Andreatta
    Pages 11-126

  4. Torelli Theorem Via Fourier-Mukai Transform

    • A. Beilinson, A. Polishchuk
    Pages 127-132

  5. On the André-Oort Conjecture for Hilbert Modular Surfaces

    • Bas Edixhoven
    Pages 133-155

  6. Toroidal Resolutions for Some Matrix Singularities

    • Gerd Faltings
    Pages 157-184

  7. Formal Brauer Groups and Moduli of Abelian Surfaces

    • G. Van der Geer, T. Katsura
    Pages 185-202

  8. Isogeny Classes of Abelian Varieties with no Principal Polarizations

    • Everett W. Howe
    Pages 203-216

  9. Igusa’s Modular form and the Classification of Siegel Modular Threefolds

    • Klaus Hulek
    Pages 217-229

  10. Mirror Symmetry and Quantization of Abelian Varieties

    • Yu. I. Manin
    Pages 231-254

  11. Group Schemes with Additional Structures and Weyl Group Cosets

    • Ben Moonen
    Pages 255-298

  12. Moduli Space of Elliptic Curves with Heisenberg Level Structure

    • Iku Nakamura, Tomohide Terasoma
    Pages 299-324

  13. Singularities of the Height Strata in the Moduli of K3 Surfaces

    • Arthur Ogus
    Pages 325-343

  14. A Stratification of a Moduli Space of Abelian Varieties

    • Frans Oort
    Pages 345-416

  15. Newton Polygon Strata in the Moduli Space of Abelian Varieties

    • Frans Oort
    Pages 417-440

  16. The Dimension of Oort Strata of Shimura Varieties of Pel-Type

    • Torsten Wedhorn
    Pages 441-471

  17. Hyperelliptic Jacobians and Modular Representations

    • Yuri G. Zarhin
    Pages 473-490

  18. Windows for Displays of p-Divisible Groups

    • Thomas Zink
    Pages 491-518
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Keywords

About this book

Abelian varieties and their moduli are a central topic of increasing importance in today`s mathematics. Applications range from algebraic geometry and number theory to mathematical physics.
The present collection of 17 refereed articles originates from the third "Texel Conference" held in 1999. Leading experts discuss and study the structure of the moduli spaces of abelian varieties and related spaces, giving an excellent view of the state of the art in this field.
The book will appeal to pure mathematicians, especially algebraic geometers and number theorists, but will also be relevant for researchers in mathematical physics.

Editors and Affiliations

  • Institutionen för Matematik, Kungliga Tekniska Högskolan (KTH), Stockholm, Sweden

    Carel Faber

  • Korteweg de Vries Instituut, Universiteit van Amsterdam, Amsterdam, The Netherlands

    Gerard Geer

  • Mathematisch Instituut, Universiteit Utrecht, Utrecht, The Netherlands

    Frans Oort

Bibliographic Information

  • Book Title: Moduli of Abelian Varieties

  • Editors: Carel Faber, Gerard Geer, Frans Oort

  • Series Title: Progress in Mathematics

  • DOI: https://doi.org/10.1007/978-3-0348-8303-0

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 2001

  • Hardcover ISBN: 978-3-7643-6517-2Published: 01 March 2001

  • Softcover ISBN: 978-3-0348-9509-5Published: 23 October 2012

  • eBook ISBN: 978-3-0348-8303-0Published: 06 December 2012

  • Series ISSN: 0743-1643

  • Series E-ISSN: 2296-505X

  • Edition Number: 1

  • Number of Pages: XII, 518

  • Topics: Number Theory, Geometry

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