A Grauert-Riemenschneider vanishing theorem for Witt canonical sheaves
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916796974497792 |
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| author | Baudin, Jefferson |
| author_facet | Baudin, Jefferson |
| contents | We prove a Witt vector version of the usual Grauert-Riemenschneider vanishing theorem over fields of positive characteristic, solving a question raised by Blickle, Esnault, Chatzistamatiaou and Rülling. We then deduce some rationality consequences for $F$-rational singularities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_14647 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Grauert-Riemenschneider vanishing theorem for Witt canonical sheaves Baudin, Jefferson Algebraic Geometry 14G17, 14F17, 14F30 We prove a Witt vector version of the usual Grauert-Riemenschneider vanishing theorem over fields of positive characteristic, solving a question raised by Blickle, Esnault, Chatzistamatiaou and Rülling. We then deduce some rationality consequences for $F$-rational singularities. |
| title | A Grauert-Riemenschneider vanishing theorem for Witt canonical sheaves |
| topic | Algebraic Geometry 14G17, 14F17, 14F30 |
| url | https://arxiv.org/abs/2506.14647 |