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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 Perfectoid ： ウィキペディア英語版 Perfectoid In mathematics, perfectoid objects occur in the study of problems of "mixed characteristic", such as local fields of characteristic zero which have residue fields of characteristic prime ''p''. The notion was introduced by Peter Scholze. A perfectoid field is a complete topological field ''K'' whose topology is induced by a nondiscrete valuation of rank 1, such that the Frobenius endomorphism Φ is surjective on ''K''°/''p'' where ''K''° denotes the ring of power-bounded elements. Associated to any perfectoid field ''K'' there is another ''K''♭ of characteristic ''p'' where the multiplication may be defined as :$K^\backslash flat\; =\; \backslash varprojlim\_\; K\; \backslash \; .$ The absolute Galois groups of ''K'' and ''K''♭ are isomorphic. ==See also== *perfect field 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「Perfectoid」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.