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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Deligne–Mumford stack ： ウィキペディア英語版 Deligne–Mumford stack In algebraic geometry, a Deligne–Mumford stack is a stack ''F'' such that *(i) the diagonal $F\; \backslash to\; F\; \backslash times\_S\; F$ is representable (the base change to a scheme is a scheme), quasi-compact and separated. *(ii) There is a scheme ''U'' and étale surjective map ''U'' →''F'' (called the atlas). If the "étale" is weakened to "smooth", then such a stack is called an Artin stack. An algebraic space is Deligne–Mumford. An important fact about a Deligne–Mumford stack ''F'' is that any ''X'' in $F(B)$, ''B'' quasi-compact, has only finitely many automorphisms. A Deligne–Mumford stack admits a presentation by a groupoid; see groupoid scheme. == References == * 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Deligne–Mumford stack」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.