Moduli of Supersingular Abelian Varieties
(Lecture Notes in Mathematics ; Vol. 1680)
データ種別 | 電子書籍 |
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出版者 | New York : Springer |
出版年 | March 1998 |
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書誌ID | OB00868526 |
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本文言語 | 英語 |
一般注記 | License restrictions may limit access 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/4Ãœ, 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) Scholarly & Professional Springer |
著者標目 | *Li, Ke-Zheng Author Oort, Frans Author Dold, A Contribution by Takens, F Contribution by |
件 名 | FREE:Abelian Groups FREE:Singularities (Mathematics) FREE:Mathematics -- Group Theory 全ての件名で検索 FREE:Mathematics -- Geometry -- Algebraic 全ての件名で検索 |
分 類 | LCC:QA3.L28 no. 1680QA56 DC21:516.3/5 |
巻冊次 | ISBN:9783540639237 RefWorks出力(各巻) Trade Paper ; ISBN:3540639233 ; PRICE:USD 39.00 Retail Price RefWorks出力(各巻) |
資料種別 | 機械可読データファイル |
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