paper

From Hörmander's -estimates to partial positivity

arXiv:2008.08287

Abstract

In this article, using a twisted version of Hörmander'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.

arXiv comment13 pages, v3: minor revision