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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 Grothendieck–Ogg–Shafarevich formula ： ウィキペディア英語版 Grothendieck–Ogg–Shafarevich formula In mathematics, the Grothendieck–Ogg–Shafarevich formula describes the Euler characteristic of complete curve with coefficients in an abelian variety or constructible sheaf, in terms of local data involving the Swan conductor. and proved the formula for abelian varieties with tame ramification over curves, and extended the formula to constructible sheaves over a curve . ==Statement== Suppose that ''F'' is a constructible sheaf over a genus ''g'' smooth projective curve ''C'', of rank ''n'' outside a finite set ''X'' of points where it has stalk 0. Then :$\backslash chi(C,F)\; =\; n(2-2g)\; -\backslash sum\_(n+Sw\_x(F))$ where ''Sw'' is the Swan conductor at a point. 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「Grothendieck–Ogg–Shafarevich formula」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.