Moduli of Supersingular Abelian Varieties / Lecture Notes in Mathematics Bd.1680 (PDF)
(Sprache: Englisch)
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...
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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 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).
Bibliographische Angaben
- Autoren: Ke-Zheng Li , Frans Oort
- 2006, 1998, 116 Seiten, Englisch
- Verlag: Springer Berlin Heidelberg
- ISBN-10: 3540696660
- ISBN-13: 9783540696667
- Erscheinungsdatum: 14.11.2006
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Englisch
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