Moduli of Supersingular Abelian Varieties PDF
by Ke-Zheng Li, Frans Oort
Part of the Lecture Notes in Mathematics series
- Information
Description
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).
Information
-
Download Now
- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:14/11/2006
- Category:
- ISBN:9783540696667
Information
-
Download Now
- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:14/11/2006
- Category:
- ISBN:9783540696667
