| Moduli of Supersingular Abelian Varieties 1998 Edition Contributor(s): Li, Ke-Zheng (Author), Oort, Frans (Author) |
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ISBN: 3540639233 ISBN-13: 9783540639237 Publisher: Springer OUR PRICE: $37.05 Product Type: Paperback - Other Formats Published: January 1998 Annotation: 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). |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - Algebraic |
| Dewey: 516.35 |
| LCCN: 97048780 |
| Series: Springer Tracts in Modern Physics (Paperback) |
| Physical Information: 0.29" H x 6.14" W x 9.21" (0.44 lbs) 116 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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 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). |