Item description for Moduli of Supersingular Abelian Varieties (Lecture Notes in Mathematics) by Ke-Zheng Li...
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 g.g/4, 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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Est. Packaging Dimensions: Length: 9" Width: 6" Height: 0.5" Weight: 0.35 lbs.
Release Date Mar 5, 1998
ISBN 3540639233 ISBN13 9783540639237
Availability 78 units. Availability accurate as of Mar 28, 2017 01:42.
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