Hodge modules and Singular Hermitian Metrics
Algebraic Geometry
2022-10-14 v2 Complex Variables
Abstract
The purpose of this paper is to study certain notions of metric positivity for the lowest nonzero piece in the Hodge filtration of a Hodge module. We show that the Hodge metric satisfies the minimal extension property. In particular, this singular Hermitian metric has semi-positive curvature.
Keywords
Cite
@article{arxiv.2003.09064,
title = {Hodge modules and Singular Hermitian Metrics},
author = {Christian Schnell and Ruijie Yang},
journal= {arXiv preprint arXiv:2003.09064},
year = {2022}
}
Comments
v2: 17 pages, final version, to appear in Math Z