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arXiv · 2402.08153

Steenbrink-type vanishing for surfaces in positive characteristic

Tatsuro Kawakami
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Abstract

Let $(X,B)$ be a pair of a normal surface over a perfect field of characteristic $p>0$ and an effective $\mathbb{Q}$-divisor $B$ on $X$. We prove that Steenbrink-type vanishing holds for $(X,B)$ if it is log canonical and $p>5$, or it is $F$-pure. We also show that rational surface singularities satisfying the vanishing are $F$-injective.

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Tatsuro Kawakami. 2024-02-13. Steenbrink-type vanishing for surfaces in positive characteristic. https://arxiv.org/abs/2402.08153

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