Vanishing theorems for pseudo-effective line bundles
Complex Variables
2026-02-17 v1
Abstract
In the present paper, we establish a general Kawamata-Viehweg-Koll\'ar-Nadel type vanishing theorem for higher direct images in terms of numerical dimension for closed positive currents on compact K\"ahler manifolds, unifying a number of important vanishing theorems.
Cite
@article{arxiv.2602.13821,
title = {Vanishing theorems for pseudo-effective line bundles},
author = {Xiankui Meng and Chenghao Qing and Xiangyu Zhou},
journal= {arXiv preprint arXiv:2602.13821},
year = {2026}
}