Moduli of Supersingular Abelian Varieties

Moduli of Supersingular Abelian Varieties

AngličtinaEbook
Li, Ke-Zheng
Springer Berlin Heidelberg
EAN: 9783540696667
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Podrobné informace

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 Ag.g/4U, 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).
EAN 9783540696667
ISBN 3540696660
Typ produktu Ebook
Vydavatel Springer Berlin Heidelberg
Datum vydání 14. listopadu 2006
Jazyk English
Země Germany
Autoři Li, Ke-Zheng; Oort, Frans
Série Lecture Notes in Mathematics