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arXiv · 2003.09064

Hodge modules and Singular Hermitian Metrics

Christian Schnell·Ruijie Yang
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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.

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Christian Schnell, Ruijie Yang. 2022-10-13. Hodge modules and Singular Hermitian Metrics. https://arxiv.org/abs/2003.09064

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