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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 Simpson correspondence ： ウィキペディア英語版 Simpson correspondence In algebraic geometry, the Simpson correspondence (named after Carlos Simpson) is a description vector bundles in terms of representations of the fundamental group. == Unitary representations == For a compact Riemann surface ''X'' of genus at least 2, Narasimhan and Seshadri established a bijection between irreducible unitary representations of $\backslash pi\_1(X)$ and the isomorphism classes of stable vector bundles of degree 0.〔M.S. Narasimhan, C.S. Seshadri, ''Stable and unitary vector bundles on a compact Riemann surface'', Ann. of Math. 82 (1965), 540–567〕 This was then extended to arbitrary complex smooth projective varieties by Donaldson.〔S. Donaldson, ''Infinite determinants, stable bundles and curvature'', Duke Math. J. 54 (1987), 231–247〕 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「Simpson correspondence」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.