9783540639237-3540639233-Moduli of Supersingular Abelian Varieties (Lecture Notes in Mathematics, 1680)

Moduli of Supersingular Abelian Varieties (Lecture Notes in Mathematics, 1680)

ISBN-13: 9783540639237
ISBN-10: 3540639233
Edition: 1998
Author: Frans Oort, Ke-Zheng Li
Publication date: 1998
Publisher: Springer
Format: Paperback 125 pages
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Book details

ISBN-13: 9783540639237
ISBN-10: 3540639233
Edition: 1998
Author: Frans Oort, Ke-Zheng Li
Publication date: 1998
Publisher: Springer
Format: Paperback 125 pages

Summary

Moduli of Supersingular Abelian Varieties (Lecture Notes in Mathematics, 1680) (ISBN-13: 9783540639237 and ISBN-10: 3540639233), written by authors Frans Oort, Ke-Zheng Li, was published by Springer in 1998. With an overall rating of 3.5 stars, it's a notable title among other Geometry & Topology (Mathematics) books. You can easily purchase or rent Moduli of Supersingular Abelian Varieties (Lecture Notes in Mathematics, 1680) (Paperback) from BooksRun, along with many other new and used Geometry & Topology books and textbooks. And, if you're looking to sell your copy, our current buyback offer is $0.3.

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).
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