Moduli of Supersingular Abelian Varieties

• Main Authors: Li, Ke-Zheng (Author, http://id.loc.gov/vocabulary/relators/aut), Oort, Frans (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998.
• Edition: 1st ed. 1998.
• Series: Lecture Notes in Mathematics, 1680
• Subjects: Algebraic geometry.; Algebraic Geometry.

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...

Table of Contents:

• Supersingular abelian varieties
• Some prerequisites about group schemes
• Flag type quotients
• Main results on S g,1
• Prerequisites about Dieudonné modules
• PFTQs of Dieudonné modules over W
• Moduli of rigid PFTQs of Dieudonné modules
• Some class numbers
• Examples on S g,1
• Main results on S g,d
• Proofs of the propositions on FTQs
• Examples on S g,d (d>1)
• A scheme-theoretic definition of supersingularity.