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853: 2023/12/27(水)00:02 ID:Bz9nsHoH(1/3) AAS
どもです
理解できていませんが、貼っておきます
”The Fujita Conjecture and the Extension Theorem of Ohsawa-Takegoshi Yum-Tong Siu”
外部リンク[pdf]:people.math.harvard.edu
The Fujita Conjecture and the Extension Theorem of Ohsawa-Takegoshi Yum-Tong Siu
Department of Mathematics,Harvard University,
§1. Introduction and Statement of Results
省6
862: 2023/12/27(水)23:30 ID:Bz9nsHoH(2/3) AAS
>>861
ありがとう
mathoverflowに質問と詳しい回答があるね
・Siu plenary lecture in 2002 icm ”it arose in pde”
・Answer 8 by Nadel a "multiplier ideal sheaf'' But before Nadel , the first person who introduced Multiplier Ideal sheaves was J. Kohn
・あと、Mori、Kawamata、Kodaira-type vanishing theorem が出てきます
・en.wikipediaは、ちょっと雑かな
省13
863: 2023/12/27(水)23:31 ID:Bz9nsHoH(3/3) AAS
つづき
15
There's a parallel history of multiplier ideals (especially of the non-dynamic multiplier ideal sheaves on algebraic varieties, say as described in Lazarsfeld's book).
These ideal sheaves are older than Nadel's work. For instance, they were extremely common in the work of Esnault and Viehweg in the early 1980s (see for instance their notes which survey some of this work Lectures on vanishing theorems), also see the works of Kawamata and Kollar. Indeed, these sheaves and slight variants appeared frequently whenever Kawamata-Viehweg vanishing theorems were applied throughout the 1980s. Essentially, the reason why they show up in this context is as follows. You want to prove some Kodaira-type vanishing theorem on a variety that is either non-smooth or with respect to a not-necessarily-ample line bundle. The multiplier ideal lets you correct for this.answered Sep 23, 2013 at Karl Schwede
外部リンク:en.wikipedia.org
Multiplier ideal
Multiplier ideals were independently introduced by Nadel (1989) (who worked with sheaves over complex manifolds rather than ideals) and Lipman (1993), who called them adjoint ideals.
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