On Bergman kernel functions and weak Morse inequalities
Complex Variables
2023-07-24 v1 Differential Geometry
Abstract
We give simple and unified proofs of weak holomorhpic Morse inequalities on complete manifolds, -convex manifolds, pseudoconvex domains, weakly -complete manifolds and covering manifolds. This paper is essentially based on the asymptotic Bergman kernel functions and the Bochner-Kodaira-Nakano formulas.
Cite
@article{arxiv.2208.01994,
title = {On Bergman kernel functions and weak Morse inequalities},
author = {Xiaoshan Li and Guokuan Shao and Huan Wang},
journal= {arXiv preprint arXiv:2208.01994},
year = {2023}
}