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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 Local Euler characteristic formula ： ウィキペディア英語版 Local Euler characteristic formula In the mathematical field of Galois cohomology, the local Euler characteristic formula is a result due to John Tate that computes the Euler characteristic of the group cohomology of the absolute Galois group ''GK'' of a non-archimedean local field ''K''. ==Statement== Let ''K'' be a non-archimedean local field, let ''Ks'' denote a separable closure of ''K'', let ''GK'' = Gal(''Ks''/''K'') be the absolute Galois group of ''K'', and let ''Hi''(''K'', ''M'') denote the group cohomology of ''GK'' with coefficients in ''M''. Since the cohomological dimension of ''GK'' is two, ''Hi''(''K'', ''M'') = 0 for ''i'' ≥ 3. Therefore, the Euler characteristic only involves the groups with ''i'' = 0, 1, 2. 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「Local Euler characteristic 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.