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)

Buy this book

eBook $29.99
price for USA in USD
  • 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 $39.00
price for USA in USD
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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