Moduli of Supersingular Abelian Varieties (Paperback, 1998 ed.)

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 AEg.g/4UE, 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).

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Lecture Notes in Mathematics, 1680
Release date:	1998
First published:	1998
Authors:	Ke-Zheng Li • Frans Oort
Dimensions:	234 x 156 x 7mm (L x W x T)
Format:	Paperback
Pages:	116
Edition:	1998 ed.
ISBN-13:	978-3-540-63923-7
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
LSN:	3-540-63923-3
Barcode:	9783540639237

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