奇异Hermitian度量的Nakano正性与Demaily–Nadel–Nakano型的消失定理

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2020-04-13 DOI:10.14231/AG-2022-003

Takahiro Inayama

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引用次数: 18

摘要

本文给出了全纯向量丛上奇异Hermitian度量的Nakano半正性的一般定义。利用这个正性概念，我们建立了具有Nakano正奇异Hermitian度量的全纯向量丛的$L^2$-估计。我们还给出了消失定理，它推广了Nakano型和Demaily-Nadel型消失定理。

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Nakano positivity of singular Hermitian metrics and vanishing theorems \n of Demailly–Nadel–Nakano type

In this article, we propose a general definition of Nakano semi-positivity of singular Hermitian metrics on holomorphic vector bundles. By using this positivity notion, we establish $L^2$-estimates for holomorphic vector bundles with Nakano positive singular Hermitian metrics. We also show vanishing theorems, which generalize both Nakano type and Demailly-Nadel type vanishing theorems.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.