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).
Produkteigenschaften
- Artikelnummer: 9783540639237
- Medium: Buch
- ISBN: 978-3-540-63923-7
- Verlag: Springer Berlin Heidelberg
- Erscheinungstermin: 19.01.1998
- Sprache(n): Englisch
- Auflage: 1998
- Serie: Lecture Notes in Mathematics
- Produktform: Kartoniert, Paperback
- Gewicht: 201 g
- Seiten: 116
- Format (B x H x T): 155 x 235 x 8 mm
- Ausgabetyp: Kein, Unbekannt