Quasi-$F$-splitting and smooth weak del Pezzo surfaces in mixed characteristic
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914168022499328 |
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| author | Onuki, Hirotaka Takamatsu, Teppei Yoshikawa, Shou |
| author_facet | Onuki, Hirotaka Takamatsu, Teppei Yoshikawa, Shou |
| contents | We introduce the notion of quasi-$F$-splitting in mixed characteristic and study Kodaira-type vanishing on quasi-$F$-splitting varieties. As an application, we prove a Kodaira-type vanishing on lifts of rational double point (RDP) del Pezzo surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_19308 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quasi-$F$-splitting and smooth weak del Pezzo surfaces in mixed characteristic Onuki, Hirotaka Takamatsu, Teppei Yoshikawa, Shou Algebraic Geometry We introduce the notion of quasi-$F$-splitting in mixed characteristic and study Kodaira-type vanishing on quasi-$F$-splitting varieties. As an application, we prove a Kodaira-type vanishing on lifts of rational double point (RDP) del Pezzo surfaces. |
| title | Quasi-$F$-splitting and smooth weak del Pezzo surfaces in mixed characteristic |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2510.19308 |