论文标题

关于伯格曼内核功能和薄弱的摩尔斯

On Bergman kernel functions and weak Morse inequalities

论文作者

Li, Xiaoshan, Shao, Guokuan, Wang, Huan

论文摘要

我们给出了简单而统一的证据,证明了完全歧管,$ q $ -convex歧管,pseudoconvex域,薄弱的$ 1 $ complete歧管和覆盖歧管的简单证明。本文本质上是基于渐近伯格曼内核函数和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 asymptotic Bergman kernel functions and the Bochner-Kodaira-Nakano formulas.

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