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Synopsis
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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Moduli of Supersingular Abelian Varieties
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Moduli of supersingular Abelian varieties. Lecture Notes in Mathematics; Vol. 1680.
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Moduli of Supersingular Abelian Varieties (Lecture Notes in Mathematics, 1680)
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Moduli of Supersingular Abelian Varieties
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Moduli of Supersingular Abelian Varieties (Lecture Notes in Mathematics, 1680)
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Moduli of Supersingular Abelian Varieties (Paperback)
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Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 1998
ISBN 10: 3540639233
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Paperback. Condition: new. Paperback. 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). 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. This title provides a description of the supersingular locus in various dimensions. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9783540639237
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