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Lecture Notes in Mathematics

Moduli of Supersingular Abelian Varieties

Authors: Li, Ke-Zheng, Oort, Frans

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About this book

Abelian varieties can be classified via their moduli. In positive characteristic the structure of the p-torsion-structure is an additional, useful tool. For that structure supersingular abelian varieties can be considered the most special ones. They provide a starting point for the fine description of various structures. For low dimensions the moduli of supersingular abelian varieties is by now well understood. In this book we provide a description of the supersingular locus in all dimensions, in particular we compute the dimension of it: it turns out to be equal to Äg.g/4Ü, and we express the number of components as a class number, thus completing a long historical line where special cases were studied and general results were conjectured (Deuring, Hasse, Igusa, Oda-Oort, Katsura-Oort).

Table of contents (14 chapters)

Table of contents (14 chapters)
  • Introduction

    Pages 1-10

    Li, Ke-Zheng (et al.)

  • Supersingular abelian varieties

    Pages 11-15

    Li, Ke-Zheng (et al.)

  • Some prerequisites about group schemes

    Pages 16-18

    Li, Ke-Zheng (et al.)

  • Flag type quotients

    Pages 19-23

    Li, Ke-Zheng (et al.)

  • Main results on S g,1

    Pages 24-27

    Li, Ke-Zheng (et al.)

Buy this book

eBook 24,99 €
price for Spain (gross)
  • ISBN 978-3-540-69666-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 31,15 €
price for Spain (gross)
  • ISBN 978-3-540-63923-7
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually ready to be dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Moduli of Supersingular Abelian Varieties
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1680
Copyright
1998
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-69666-7
DOI
10.1007/BFb0095931
Softcover ISBN
978-3-540-63923-7
Series ISSN
0075-8434
Edition Number
1
Number of Pages
IX, 116
Topics

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