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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 Barsotti–Tate group ： ウィキペディア英語版 Barsotti–Tate group In algebraic geometry, Barsotti–Tate groups or ''p''-divisible groups are similar to the points of order a power of ''p'' on an abelian variety in characteristic ''p''. They were introduced by under the name equidimensional hyperdomain and by under the name p-divisible groups, and named Barsotti–Tate groups by . ==Definition== defined a Barsotti–Tate group ''G'' over a scheme ''S'' to be a fppf sheaf of commutative groups over ''S'' that is ''p''-divisible, ''p''-torsion, such that the points ''G''(1) of order ''p'' of ''G'' are (represented by) a finite locally free scheme. The group ''G''(1) has rank ''p''''d'' for some locally constant function ''d'' on ''S'', called the rank or height of the group ''G''. The subgroup ''G''(''n'') of points of order ''p''''n'' is a scheme of rank ''p''''nd'', and ''G'' is the direct limit of these subgroups. 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「Barsotti–Tate group」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.