Logarithmic Akizuki--Nakano vanishing theorems on weakly pseudoconvex K\"{a}hler manifolds
Complex Variables
2025-12-23 v2 Algebraic Geometry
Abstract
In this paper, we establish a logarithmic vanishing theorem on weakly pseudoconvex K\"ahler manifolds, where the divisor may have infinitely many irreducible components. This result serves as a generalization of Norimatsu's findings on compact K\"ahler manifolds. We derive vanishing theorems for certain direct image sheaves as a direct corollary.
Keywords
Cite
@article{arxiv.2201.11458,
title = {Logarithmic Akizuki--Nakano vanishing theorems on weakly pseudoconvex K\"{a}hler manifolds},
author = {Yongpan Zou},
journal= {arXiv preprint arXiv:2201.11458},
year = {2025}
}