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arXiv · 2301.10596

Vanishing Theorem for Hodge Ideals on smooth hypersurfaces

Anh Duc Vo
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Abstract

We use a Koszul-type resolution to prove a weak version of Bott's vanishing theorem for smooth hypersurfaces in $\mathbb{P}^n$ and use this result to prove a vanishing theorem for Hodge ideals associated with an effective Cartier divisor on a hypersurface. This extends an earlier result of Mustata and Popa.

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Anh Duc Vo. 2023-01-25. Vanishing Theorem for Hodge Ideals on smooth hypersurfaces. https://arxiv.org/abs/2301.10596

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