You Can Build Masonry

You Can Build Masonry

Book - 2009
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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 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).
Publisher: Menlo Park, CA : Sunset Pub. Corp, 2009.
ISBN: 9780376015983
0376015985
Characteristics: 303 p. :,col. ill. ;,28 cm.
Additional Contributors: Sunset Books

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