Moduli of Supersingular Abelian Varieties (Paperback) (ISBN-13: 9783540639237)

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).

Author: Ke-Zheng Li,Frans Oort
ISBN-10: 3540639233
ISBN-13: 9783540639237
Publisher: Springer
Language: English
Published: 01/19/1998
Pages: 116
Format: Paperback
Weight: 0.44lbs
Size: 9.21h x 6.14w x 0.29d