On Bergman kernel functions and weak holomorphic Morse inequalities
On Bergman kernel functions and weak holomorphic Morse inequalities
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DOI：
10.1007/s13324-023-00829-3
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发表时间：
2022-08
影响因子：
1.7
通讯作者：
Xiaoshan Li;Guokuan Shao;Hua Wang
中科院分区：
文献类型：
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作者：
Xiaoshan Li;Guokuan Shao;Hua Wang
我们给出了完全流形、q-凸流形、伪凸域、弱1-完全流形和覆盖流形上的弱全态莫尔斯不等式的简单而统一的证明。本文主要基于 Bergman 核函数的渐进性和 Bochner-Kodaira-Nakano 公式。
We give simple and unified proofs of weak holomorhpic Morse inequalities on complete manifolds,q-convex manifolds, pseudoconvex domains, weakly 1-complete manifolds and covering manifolds. This paper is essentially based on the asymptotics of Bergman kernel functions and the Bochner–Kodaira–Nakano formulas.