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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 Tsen's theorem ： ウィキペディア英語版 Tsen's theorem In mathematics, Tsen's theorem states that a function field ''K'' of an algebraic curve over an algebraically closed field is quasi-algebraically closed (i.e., C1). This implies that the Brauer group of any such field vanishes,〔 〕 and more generally that all the Galois cohomology groups ''H'' ''i''(''K'', ''K'' *) vanish for ''i'' ≥ 1. This result is used to calculate the étale cohomology groups of an algebraic curve. The theorem was proved by Zeng Jiongzhi (also rendered as Chiungtze C. Tsen in English) in 1933. ==See also== * Tsen rank 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「Tsen's theorem」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.