翻訳と辞書 Words near each other ・ Period (gene) ・ Period (geology) ・ Period (music) ・ Period (periodic table) ・ Period (school) ・ Period -the Best Selection- ・ Period 1 element ・ Period 2 element ・ Period 3 element ・ Period 4 element ・ Period 5 element ・ Period 6 element ・ Period 7 element ・ Period domain ・ Period eye ・ Period mapping ・ Period of Adjustment ・ Period of Adjustment (film) ・ Period of Adjustment (M*A*S*H) ・ Period of financial distress ・ Period of mobilization for the suppression of Communist rebellion ・ Period of viability ・ Period Pains ・ Period pains ・ Period Piano Company ・ Period Piece (book) ・ Period-after-opening symbol ・ Period-doubling bifurcation ・ Periodate ・ Periodeutes Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Period mapping ： ウィキペディア英語版 Period mapping In mathematics, in the field of algebraic geometry, the period mapping relates families of Kähler manifolds to families of Hodge structures. == Ehresmann's theorem == (詳細はEhresmann's theorem guarantees that there is a small open neighborhood ''U'' around 0 in which ''f'' becomes a fiber bundle. That is, is diffeomorphic to . In particular, the composite map :$X\_b\; \backslash hookrightarrow\; f^(U)\; \backslash cong\; X\_0\; \backslash times\; U\; \backslash twoheadrightarrow\; X\_0$ is a diffeomorphism. This diffeomorphism is not unique because it depends on the choice of trivialization. The trivialization is constructed from smooth paths in ''U'', and it can be shown that the homotopy class of the diffeomorphism depends only on the choice of a homotopy class of paths from ''b'' to 0. In particular, if ''U'' is contractible, there is a well-defined diffeomorphism up to homotopy. The diffeomorphism from ''X''''b'' to ''X''0 induces an isomorphism of cohomology groups :$H^k(X\_b,\; \backslash mathbf)\; \backslash cong\; H^k(X\_b\; \backslash times\; U,\; \backslash mathbf)\; \backslash cong\; H^k(X\_0\; \backslash times\; U,\; \backslash mathbf)\; \backslash cong\; H^k(X\_0,\; \backslash mathbf),$ and since homotopic maps induce identical maps on cohomology, this isomorphism depends only on the homotopy class of the path from ''b'' to 0. 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「Period mapping」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.