An alternative approach on the singular metric on a vector bundle
Differential Geometry
2021-01-28 v2 Complex Variables
Abstract
In this paper, we will provide an alternative definition for the singular Hermitian metric on a vector bundle. Moreover, we discuss the Griffiths and Nakano positivities under this circumstance and prove a generalised Griffiths' vanishing theorem.
Cite
@article{arxiv.2011.02725,
title = {An alternative approach on the singular metric on a vector bundle},
author = {Jingcao Wu},
journal= {arXiv preprint arXiv:2011.02725},
year = {2021}
}
Comments
28 pages, we've made several changes, comments are welcome!