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Moduli of Supersingular Abelian Varieties (Lecture Notes in Mathematics, 1680)
ISBN-13:
9783540639237
ISBN-10:
3540639233
Edition:
1998
Author:
Frans Oort, Ke-Zheng Li
Publication date:
1998
Publisher:
Springer
Format:
Paperback
125 pages
Category:
Geometry & Topology
,
Mathematics
FREE US shipping
Book details
ISBN-13:
9783540639237
ISBN-10:
3540639233
Edition:
1998
Author:
Frans Oort, Ke-Zheng Li
Publication date:
1998
Publisher:
Springer
Format:
Paperback
125 pages
Category:
Geometry & Topology
,
Mathematics
Summary
Moduli of Supersingular Abelian Varieties (Lecture Notes in Mathematics, 1680) (ISBN-13: 9783540639237 and ISBN-10: 3540639233), written by authors
Frans Oort, Ke-Zheng Li, was published by Springer in 1998.
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Description
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).
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