The harmonic theory on a vector bundle with singular Hermitian metrics and positivity
Differential Geometry
2021-02-09 v1 Algebraic Geometry
Complex Variables
Abstract
Let be a holomorphic vector bundle endowed with a singular Hermitian metric . In this paper, we develop the harmonic theory on . Then we extend several canonical results of J. Koll\'{a}r and K. Takegoshi to this situation. In the end, we generalise Nakano's vanishing theorem.
Cite
@article{arxiv.2102.04037,
title = {The harmonic theory on a vector bundle with singular Hermitian metrics and positivity},
author = {Jingcao Wu},
journal= {arXiv preprint arXiv:2102.04037},
year = {2021}
}
Comments
28 pages, comments are welcome!