On Bergman kernel functions and weak Morse inequalities
arXiv:2208.01994 · doi:10.1007/s13324-023-00829-3
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.