Weak quasi-$F$-splitting and del Pezzo varieties
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913345177649152 |
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| author | Kawakami, Tatsuro Tanaka, Hiromu |
| author_facet | Kawakami, Tatsuro Tanaka, Hiromu |
| contents | We show that smooth del Pezzo varieties in positive characteristic are quasi-$F$-split. To this end, we introduce weak quasi-$F$-splitting and we prove that general ladders of smooth del Pezzo varieties are normal. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_04796 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weak quasi-$F$-splitting and del Pezzo varieties Kawakami, Tatsuro Tanaka, Hiromu Algebraic Geometry 14J45, 13A35 We show that smooth del Pezzo varieties in positive characteristic are quasi-$F$-split. To this end, we introduce weak quasi-$F$-splitting and we prove that general ladders of smooth del Pezzo varieties are normal. |
| title | Weak quasi-$F$-splitting and del Pezzo varieties |
| topic | Algebraic Geometry 14J45, 13A35 |
| url | https://arxiv.org/abs/2404.04796 |