Classification of non-$F$-split del Pezzo surfaces of degree $1$
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866913649436655616 |
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| author | Martin, Gebhard Wagener, Réka |
| author_facet | Martin, Gebhard Wagener, Réka |
| contents | Using Fedder's criterion, we classify all non-$F$-split del Pezzo surfaces of degree $1$. We give a necessary and sufficient criterion for the $F$-splitting of such del Pezzo surfaces in terms of their anti-canonical system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_08126 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Classification of non-$F$-split del Pezzo surfaces of degree $1$ Martin, Gebhard Wagener, Réka Algebraic Geometry Using Fedder's criterion, we classify all non-$F$-split del Pezzo surfaces of degree $1$. We give a necessary and sufficient criterion for the $F$-splitting of such del Pezzo surfaces in terms of their anti-canonical system. |
| title | Classification of non-$F$-split del Pezzo surfaces of degree $1$ |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2501.08126 |