Moduli of Supersingular Abelian Varieties PDF Download

Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Moduli of Supersingular Abelian Varieties PDF full book. Access full book title Moduli of Supersingular Abelian Varieties by Ke-Zheng Li. Download full books in PDF and EPUB format.

Moduli of Supersingular Abelian Varieties

Moduli of Supersingular Abelian Varieties PDF Author: Ke-Zheng Li
Publisher: Springer
ISBN: 3540696660
Category : Mathematics
Languages : en
Pages : 123

Get Book Here

Book 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 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).