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arXiv · 1307.5555

Semi-negativity of Hodge bundles associated to Du Bois families

Zsolt Patakfalvi
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Abstract

In this note we show that the sheaf $R^1 f_* \mathcal{O}_X$ is an anti-nef vector bundle (i.e., its dual is nef), where $f : X \to Y$ is a family of Du Bois schemes of pure dimension.

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Zsolt Patakfalvi. 2013-07-21. Semi-negativity of Hodge bundles associated to Du Bois families. https://arxiv.org/abs/1307.5555

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