From H\"ormander's $L^2$-estimates to partial positivity
Complex Variables
2020-12-17 v3 Differential Geometry
Abstract
In this article, using a twisted version of H\"ormander's -estimate, we give new characterizations of notions of partial positivity, which are uniform -positivity and RC-positivity. We also discuss the definition of uniform -positivity for singular Hermitian metrics.
Cite
@article{arxiv.2008.08287,
title = {From H\"ormander's $L^2$-estimates to partial positivity},
author = {Takahiro Inayama},
journal= {arXiv preprint arXiv:2008.08287},
year = {2020}
}
Comments
13 pages, v3: minor revision