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Moduli of Supersingular Abelian Varieties (Electronic book text)
Moduli of Supersingular Abelian Varieties (Electronic book text): Ke-Zheng Li, Frans Oort

Moduli of Supersingular Abelian Varieties (Electronic book text)

Ke-Zheng Li, Frans Oort

Series: Lecture Notes in Mathematics, 1680

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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 g.g/4, 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).

General

Imprint: Springer
Country of origin: United States
Series: Lecture Notes in Mathematics, 1680
Release date: May 1998
Authors: Ke-Zheng Li • Frans Oort
Format: Electronic book text
ISBN-13: 978-3-540-69666-7
Categories: Books > Science & Mathematics > Mathematics
Books > Science & Mathematics > Mathematics > Geometry
Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
LSN: 3-540-69666-0
Barcode: 9783540696667

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