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Moduli of Supersingular Abelian Varieties by Frans Oort
Moduli of Supersingular Abelian Varieties by Frans Oort
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Moduli of Supersingular Abelian Varieties

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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).
Release date Australia
January 19th, 1998
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
Illustrations
IX, 116 p.
Pages
116
Dimensions
156x234x7
ISBN-13
9783540639237
Product ID
2108411

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