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RT Book, Whole SR Electronic DC OPAC T1 Moduli of Supersingular Abelian Varieties A1 Li, Ke-Zheng A1 Oort, Frans A1 Dold, A A1 Takens, F YR 1998 FD March 1998 VO Trade Paper K1 Abelian Groups K1 Singularities (Mathematics) K1 Mathematics -- Group Theory K1 Mathematics -- Geometry -- Algebraic PB Springer PP New York SN 3540639233 LA English (英語) CL LCC:QA3.L28 no. 1680QA56 CL DC21:516.3/5 NO License restrictions may limit access NO 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) NO Scholarly & Professional Springer NO 叢書名=Lecture Notes in Mathematics ; Vol. 1680 NO 書誌ID=OB00868526; LK https://link.springer.com/openurl?genre=book&isbn=978-3-540-69666-7 DS 同志社大学OPAC OL 30