带乘子模束的Le potier型同构

IF 2.3 1区数学 Q1 MATHEMATICS

Journal de Mathematiques Pures et Appliquees Pub Date : 2025-06-13 DOI:10.1016/j.matpur.2025.103760

Yaxiong Liu , Zhuo Liu , Hui Yang , Xiangyu Zhou

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引用次数: 0

摘要

本文得到了一个带乘子模束扭曲的Le potier型同构定理，该定理将赋有强Nakano半正奇异hermite度规的全纯向量束与带诱导度规的同构线束联系起来。作为应用，我们得到了一个Kollár-type注入定理，一个nadell型消失定理，一个全纯向量束的奇异全纯Morse不等式等。

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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A Le Potier-type isomorphism twisted with multiplier submodule sheaves

In this paper, we obtain a Le Potier-type isomorphism theorem twisted with multiplier submodule sheaves, which relates a holomorphic vector bundle endowed with a strongly Nakano semi-positive singular Hermitian metric to the tautological line bundle with the induced metric. As applications, we obtain a Kollár-type injectivity theorem, a Nadel-type vanishing theorem, and a singular holomorphic Morse inequality for holomorphic vector bundles and so on.

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来源期刊

Journal de Mathematiques Pures et Appliquees 数学-数学

CiteScore

4.30

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： Published from 1836 by the leading French mathematicians, the Journal des Mathématiques Pures et Appliquées is the second oldest international mathematical journal in the world. It was founded by Joseph Liouville and published continuously by leading French Mathematicians - among the latest: Jean Leray, Jacques-Louis Lions, Paul Malliavin and presently Pierre-Louis Lions.