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Some Kollár–Enoki Type Injectivity Theorems on Compact Kähler Manifolds
被引：0
|作者：
Chunle Huang
机构：
[1] Hunan University,Institute of Mathematics
来源：
The Journal of Geometric Analysis
|
2024年
/
34卷
关键词：
Injectivity theorems;
Compact Kahler manifolds;
analytic methods;
Nadel type vanishing theorems;
Primary 32L10;
Secondary 32Q15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we prove some Kollár–Enoki type injectivity theorems on compact Kähler manifolds using the Hodge theory, the Bochner–Kodaira–Nakano identity and the analytic method provided by Fujino (Osaka J Math 49(3):833–852, 2012), Fujino and Matsumur (Trans Am Math Soc Ser B 8(27):849–884, 2021), Matsumura (J Algebraic Geom 27(2):305–337, 2018), Matsumura (Complex analysis and geometry, Springer, Tokyo, 2015). We have some straightforward corollaries. In particular, we will show that our injectivity theorem implies several Nadel type vanishing theorems on smooth projective manifolds.
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