Singular holomorphic Morse inequalities on non-compact manifolds
Complex Variables
2023-11-28 v2 Algebraic Geometry
Abstract
We study asymptotic estimates of the dimension of cohomology on possibly non-compact complex manifolds for line bundles endowed with Hermitian metrics with algebraic singularities. We give a unified approach to establishing singular holomorphic Morse inequalities for hyperconcave manifolds, pseudoconvex domains, -convex manifolds and -concave manifolds, and we generalize related estimates of Berndtsson. We also consider the case of metrics with more general than algebraic singularities.
Keywords
Cite
@article{arxiv.2304.13821,
title = {Singular holomorphic Morse inequalities on non-compact manifolds},
author = {Dan Coman and George Marinescu and Huan Wang},
journal= {arXiv preprint arXiv:2304.13821},
year = {2023}
}
Comments
Dedicated to the memory of Mihnea Coltoiu. 15 pages; v.2 is a final update to agree with the published paper