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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).
- Format: Pocket/Paperback
- ISBN: 9783540639237
- Språk: Engelska
- Antal sidor: 116
- Utgivningsdatum: 1998-01-01
- Förlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. K