Strong holomorphic Morse inequalities on non-compact complex manifolds with optimal fundamental estimate
Complex Variables
2024-09-27 v2 Differential Geometry
Abstract
In this paper, we establish strong holomorphic Morse inequalities on non-compact manifolds under the condition of optimal fundamental estimates. We show that optimal fundamental estimates are satisfied and then strong holomorphic Morse inequalities hold true in various settings.
Keywords
Cite
@article{arxiv.2409.16836,
title = {Strong holomorphic Morse inequalities on non-compact complex manifolds with optimal fundamental estimate},
author = {Manli Liu and Guokuan Shao and Wenxuan Wang},
journal= {arXiv preprint arXiv:2409.16836},
year = {2024}
}