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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 Isocrystal ： ウィキペディア英語版 Isocrystal In algebraic geometry, isocrystals are ''p''-adic analogues of Q''l''-adic étale sheaves, introduced by (though the definition of isocrystal only appears in part II of this paper by ). The term isocrystal stands for roughly "crystal up to isogeny". Convergent isocrystals are a variation of isocrystals that work better over non-perfect fields, and overconvergent isocrystals are another variation related to overconvergent cohomology theories. ==Definition== Suppose that ''A'' is a complete discrete valuation ring of characteristic 0 with quotient field ''k'' of characteristic ''p''>0 and perfect. An affine enlargement of a scheme ''X''0 over ''k'' consists of a torsion-free ''A''-algebra ''B'' and an ideal ''I'' of ''B'' such that ''B'' is complete in the ''I'' topology and the image of ''I'' is nilpotent in ''B''/''pB'', together with a morphism from Spec(''B''/''I'') to ''X''0. A convergent isocrystal over a ''k''-scheme ''X''0 consists of a module over ''B''⊗Q for every affine enlargement ''B'' that is compatible with maps between affine enlargements . An F-isocrystal (short for Frobenius isocrystal) is an isocrystal together with an isomorphism to its pullback under a Frobenius morphism. 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「Isocrystal」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.