A Le Potier-type isomorphism twisted with multiplier submodule sheaves
Complex Variables
2024-05-14 v1
Abstract
In this paper, we obtain a Le Potier-type isomorphism theorem twisted with multiplier submodule sheaves, which relates a holomorphic vector bundle endowed with a strongly Nakano semipositive singular Hermitian metric to the tautological line bundle with the induced metric. As applications, we obtain a Koll\'ar-type injectivity theorem, a Nadel-type vanishing theorem, and a singular holomorphic Morse inequality for holomorphic vector bundles and so on.
Cite
@article{arxiv.2405.07261,
title = {A Le Potier-type isomorphism twisted with multiplier submodule sheaves},
author = {Yaxiong Liu and Zhuo Liu and Hui Yang and Xiangyu Zhou},
journal= {arXiv preprint arXiv:2405.07261},
year = {2024}
}