Moduli of supersingular Abelian varieties

＜図書＞
Moduli of supersingular Abelian varieties

責任表示	Ke-Zheng Li, Frans Oort
シリーズ	Lecture notes in mathematics ; 1680
データ種別	図書
出版情報	Berlin ; New York : Springer , c1998
本文言語	英語
大きさ	116 p. ; 24 cm
概要	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 varie...ies 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). 続きを見る
電子版へのリンク	https://hdl.handle.net/2324/7007170

一般注記	Includes bibliographical references (p. 106-111) and index
著者標目	Li, Ke-Zheng, 1949- Oort, F
件　名	LCSH:Abelian varieties LCSH:Algebraic varieties -- Classification theory 全ての件名で検索 LCSH:Moduli theory
分　類	DC21:516.3/5 NDC8:410.8 NDC8:414.5
書誌ID	1000927270
ISBN	3540639233
NCID	BA34499033
巻冊次	ISBN:3540639233
登録日	2009.09.16
更新日	2017.02.18