Local vanishing for F-pure threefolds
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866908969962831872 |
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| author | Kawakami, Tatsuro |
| author_facet | Kawakami, Tatsuro |
| contents | We establish Grauert--Riemenschneider vanishing for $F$-pure threefolds over a perfect field $k$ of characteristic $p>5$. We apply this to prove Steenbrink vanishing for three-dimensional sharply $F$-pure pairs in characteristic $p>5$. As a consequence, we obtain the logarithmic extension for one-forms in this setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_14760 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Local vanishing for F-pure threefolds Kawakami, Tatsuro Algebraic Geometry 14F17, 14F10, 14B05, 13A35 We establish Grauert--Riemenschneider vanishing for $F$-pure threefolds over a perfect field $k$ of characteristic $p>5$. We apply this to prove Steenbrink vanishing for three-dimensional sharply $F$-pure pairs in characteristic $p>5$. As a consequence, we obtain the logarithmic extension for one-forms in this setting. |
| title | Local vanishing for F-pure threefolds |
| topic | Algebraic Geometry 14F17, 14F10, 14B05, 13A35 |
| url | https://arxiv.org/abs/2604.14760 |