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arXiv · 1605.08088

Hodge ideals

Mircea Mustata·Mihnea Popa
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Abstract

We use methods from birational geometry to study M. Saito's Hodge filtration on the localization along a hypersurface. This filtration leads to a sequence of ideal sheaves, called Hodge ideals, the first of which is a multiplier ideal. We analyze their local and global properties, and use them for applications related to the singularities and Hodge theory of hypersurfaces and their complements.

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Mircea Mustata, Mihnea Popa. 2016-05-25. Hodge ideals. https://arxiv.org/abs/1605.08088

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