Compactifying moduli spaces for Abelian varieties

＜図書＞
Compactifying moduli spaces for Abelian varieties

責任表示	Martin C. Olsson
シリーズ	Lecture notes in mathematics ; v. 1958
データ種別	図書
出版情報	Berlin : Springer , c2008
本文言語	英語
大きさ	vi, 278 p. : ill. ; 24 cm
概要	This volume presents the construction of canonical modular compactifications of moduli spaces for polarized Abelian varieties (possibly with level structure), building on the earlier work of Alexeev, ...akamura, and Namikawa. This provides a different approach to compactifying these spaces than the more classical approach using toroical embeddings, which are not canonical. There are two main new contributions in this monograph: (1) The introduction of logarithmic geometry as understood by Fontaine, Illusie, and Kato to the study of degenerating Abelian varieties; and (2) the construction of canonical compactifications for moduli spaces with higher degree polarizations based on stack-theoretic techniques and a study of the theta group. Book jacket.続きを見る
電子版へのリンク	https://hdl.handle.net/2324/6986192

一般注記	Includes bibliographical references (p. [273]-275) and index
著者標目	*Olsson, Martin C.
件　名	LCSH:Abelian varieties LCSH:Moduli theory
書誌ID	1001245602
ISBN	9783540705185
NCID	BA86927934
巻冊次	ISBN:9783540705185 ; XISBN:354070518X
登録日	2009.09.18
更新日	2017.02.18