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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 S-equivalence ： ウィキペディア英語版 S-equivalence S-equivalence is an equivalence relation on the families of semistable vector bundles on an algebraic curve. == Definition == Let ''X'' be a projective curve over an algebraically closed field ''k''. A vector bundle on ''X'' can be considered as a locally free sheaf. Every semistable locally free ''E'' on ''X'' admits a Jordan-Hölder filtration with stable subquotients, i.e. :$0\; =\; E\_0\; \backslash subseteq\; E\_1\; \backslash subseteq\; \backslash ldots\; \backslash subseteq\; E\_n\; =\; E$ where $E\_i$ are locally free sheaves on ''X'' and $E\_i/E\_$ are stable. Although the JH-Filtration is not unique, the subquotients are, which means that $gr\; E\; =\; \backslash bigoplus\_i\; E\_i/E\_$ is unique up to isomorphism. Two semistable locally free sheaves ''E'' and ''F'' on ''X'' are ''S''-equivalent if ''gr E'' ≅ ''gr F''. 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「S-equivalence」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.