Steenbrink-type vanishing for surfaces in positive characteristic
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913499862532096 |
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| author | Kawakami, Tatsuro |
| author_facet | Kawakami, Tatsuro |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_08153 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Steenbrink-type vanishing for surfaces in positive characteristic Kawakami, Tatsuro Algebraic Geometry 14F17, 14F10, 14J17 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. |
| title | Steenbrink-type vanishing for surfaces in positive characteristic |
| topic | Algebraic Geometry 14F17, 14F10, 14J17 |
| url | https://arxiv.org/abs/2402.08153 |