Hodge modules and Singular Hermitian Metrics

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.

v2: 17 pages, final version, to appear in Math Z

References in corpus (1)

• Semi-positivity from Higgs bundles

Cited by in corpus (1)

• $L^2$-minimal extensions over Hermitian symmetric domains