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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 Multiplier ideal ： ウィキペディア英語版 Multiplier ideal In commutative algebra, the multiplier ideal associated to a sheaf of ideals over a complex variety and a real number ''c'' consists (locally) of the functions ''h'' such that : $\backslash frac$ is locally integrable, where the ''f''''i'' are a finite set of local generators of the ideal. Multiplier ideals were independently introduced by (who worked with sheaves over complex manifolds rather than ideals) and , who called them adjoint ideals. Multiplier ideals are discussed in the survey articles , , and . == Algebraic geometry == In algebraic geometry, the multiplier ideal of an effective $\backslash mathbb$-divisor measures singularities coming from the fractional parts of ''D'' so to allow one to prove vanishing theorems. Let ''X'' be a smooth complex variety and ''D'' an effective $\backslash mathbb$-divisor on it. Let $\backslash mu:\; X\text{'}\; \backslash to\; X$ be a log resolution of ''D'' (e.g., Hironaka's resolution). The multiplier ideal of ''D'' is :$J(D)\; =\; \backslash mu\_$ *\mathcal(K_ - (D )) where $K\_$ is the relative canonical divisor: $K\_\; =\; K\_\; -\; \backslash mu^$ * K_X. It is an ideal sheaf of $\backslash mathcal\_X$. If ''D'' is integral, then $J(D)\; =\; \backslash mathcal\_X(-D)$. 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「Multiplier ideal」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.