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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 Sheaf of logarithmic differential forms ： ウィキペディア英語版 Sheaf of logarithmic differential forms In algebraic geometry, the sheaf of logarithmic differential ''p''-forms $\backslash Omega^p\_X(\backslash log\; D)$ on a smooth projective variety ''X'' along a smooth divisor $D\; =\; \backslash sum\; D\_j$ is defined and fits into the exact sequence of locally free sheaves: : $0\; \backslash to\; \backslash Omega^p\_X\; \backslash to\; \backslash Omega^p\_X(\backslash log\; D)\; \backslash overset\backslash to\; \backslash oplus\_j\; \_$ *\Omega^_ \to 0, \, p \ge 1 where $i\_j:\; D\_j\; \backslash to\; X$ are the inclusions of irreducible divisors (and the pushforwards along them are extension by zero), and β is called the residue map when ''p'' is 1. For example, if ''x'' is a closed point on $D\_j,\; 1\; \backslash le\; j\; \backslash le\; k$ and not on $D\_j,\; j\; >\; k$, then :$,\; \backslash dots,\; ,\; \backslash ,\; du\_k,\; \backslash dots,\; du\_n$ form a basis of $\backslash Omega^1\_X(\backslash log\; D)$ at ''x'', where $u\_j$ are local coordinates around ''x'' such that $u\_j,\; 1\; \backslash le\; j\; \backslash le\; k$ are local parameters for $D\_j,\; 1\; \backslash le\; j\; \backslash le\; k$. == See also == *Poincaré residue 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「Sheaf of logarithmic differential forms」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.