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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Moduli of Supersingular Abelian Varieties

Moduli of Supersingular Abelian Varieties

Li, Ke-Zheng
Oort, Frans

Paperback

Series: Lecture Notes in Mathematics, Book 1680

Geometry

ISBN10: 3540639233
ISBN13: 9783540639237
Publisher: Springer Nature
Published: Jan 19 1998
Pages: 116
Weight: 0.44
Height: 0.29 Width: 6.14 Depth: 9.21
Language: English
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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