Moduli of Supersingular Abelian Varieties
| Author/creator |
Li, Ke-Zheng Author |
| Other author/creator | Oort, Frans Author |
| Other author/creator | Dold, A. Contribution by |
| Other author/creator | Takens, F. Contribution by |
| Format | Electronic and Book |
| Publication Info | New York : Springer |
| Description | V, 116 p. ill 23.500 x 015.500 cm. |
| Supplemental Content | Full text available from Springer Books |
| Supplemental Content | Full text available from SpringerLINK Lecture Notes in Mathematics Contemporary (1997-present) |
| Subject(s) |
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| Series | Lecture Notes in Mathematics Vol. 1680 |
| Summary | 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 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). |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 97048780 |
| ISBN | 9783540639237 |
| ISBN | 3540639233 (Trade Paper) Active Record |
| Standard identifier# | 9783540639237 |
| Stock number | 3540639233 00024965 |
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| Library | Location | Call Number | Status | Item Actions | |
| Electronic Resources | View Online Content | ✔ Available |