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

IF 1.2 1区数学 Q1 MATHEMATICS

Algebraic Geometry Pub Date : 2020-04-13 DOI:10.14231/AG-2022-003

Takahiro Inayama

引用次数: 18

Abstract

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

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Algebraic Geometry Mathematics-Geometry and Topology

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

52 weeks

期刊介绍： This journal is an open access journal owned by the Foundation Compositio Mathematica. The purpose of the journal is to publish first-class research papers in algebraic geometry and related fields. All contributions are required to meet high standards of quality and originality and are carefully screened by experts in the field.