On Kawamata-Viehweg Vanishing for Surfaces of del Pezzo type over imperfect fields
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_ | 1866908554505486336 |
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| author | Bhutani, Shikha |
| author_facet | Bhutani, Shikha |
| contents | We prove the Kawamata-Viehweg vanishing theorem for surfaces of del Pezzo type over imperfect fields of characteristic $p > 5$. As a consequence, we deduce the Grauert-Riemenschneider vanishing theorem for excellent divisorial log terminal threefolds whose closed points have (possibly imperfect) residue fields of positive characteristic $p > 5$. Finally, under this setup, we show that three-dimensional klt singularities are rational. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_18397 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Kawamata-Viehweg Vanishing for Surfaces of del Pezzo type over imperfect fields Bhutani, Shikha Algebraic Geometry We prove the Kawamata-Viehweg vanishing theorem for surfaces of del Pezzo type over imperfect fields of characteristic $p > 5$. As a consequence, we deduce the Grauert-Riemenschneider vanishing theorem for excellent divisorial log terminal threefolds whose closed points have (possibly imperfect) residue fields of positive characteristic $p > 5$. Finally, under this setup, we show that three-dimensional klt singularities are rational. |
| title | On Kawamata-Viehweg Vanishing for Surfaces of del Pezzo type over imperfect fields |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2509.18397 |