EXTENSION OF COHOMOLOGY CLASSES FOR VECTOR BUNDLES WITH SINGULAR HERMITIAN METRICS

被引：0

作者：

Liu, Zhuo ^{[1
]}

Qing, Chenghao ^{[2
]}

机构：

[1] Chongqing Univ Technol, Math Sci Res Ctr, 69 Hongguang Ave, Chongqing, Peoples R China

[2] Tsinghua Univ, Yau Math Sci Ctr, 30 Shuangqing Rd, Beijing, Peoples R China

来源：

NAGOYA MATHEMATICAL JOURNAL | 2025年

关键词：

extension theorem; cohomology group; vector bundle; multiplier submodule sheaf; singular Hermitian metric; HIGHER DIRECT IMAGES; INJECTIVITY; THEOREM;

D O I：

10.1017/nmj.2025.9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we present an extension theorem which is equivalent to an injectivity theorem on the cohomology groups of vector bundles equipped with singular Hermitian metrics over holomorphically convex K & auml;hler manifolds.

引用

页数：19

共 43 条

[41] Vector bundles on Hirzebruch surfaces whose twists by a non-ample line bundle have natural cohomology
Ballico, Edoardo
Malaspina, Francesco
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2008, 6 (01): : 143 - 148
[42] ON TRIVIALITIES OF STIEFEL-WHITNEY CLASSES OF VECTOR BUNDLES OVER ITERATED SUSPENSIONS OF DOLD MANIFOLDS
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HOMOLOGY HOMOTOPY AND APPLICATIONS, 2013, 15 (01) : 223 - 233
[43] Quot-scheme limit of Fubini-Study metrics and Donaldson's functional for vector bundles
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Keller, Julien
EPIJOURNAL DE GEOMETRIE ALGEBRIQUE, 2022, 5

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