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.
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页数：19
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