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On Bergman kernel functions and weak Morse inequalities
- Source :
- Anal.Math.Phys. 13, 68 (2023)
- Publication Year :
- 2022
-
Abstract
- 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.
Details
- Database :
- arXiv
- Journal :
- Anal.Math.Phys. 13, 68 (2023)
- Publication Type :
- Report
- Accession number :
- edsarx.2208.01994
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/s13324-023-00829-3