Geometric singularities of regular surfaces with nef anti-canonical divisors over imperfect fields
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914450949275648 |
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| author | Wang, Chongning Zhang, Lei |
| author_facet | Wang, Chongning Zhang, Lei |
| contents | We prove that a regular projective surface $S$ over a field $k$ of characteristic $p \ge 7$, with $H^0(S,\mathcal{O}_S) = k$ and $-K_S$ being nef, is geometrically integral over $k$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_05293 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Geometric singularities of regular surfaces with nef anti-canonical divisors over imperfect fields Wang, Chongning Zhang, Lei Algebraic Geometry 14E30, 14G17, 14B05, 14J32 We prove that a regular projective surface $S$ over a field $k$ of characteristic $p \ge 7$, with $H^0(S,\mathcal{O}_S) = k$ and $-K_S$ being nef, is geometrically integral over $k$. |
| title | Geometric singularities of regular surfaces with nef anti-canonical divisors over imperfect fields |
| topic | Algebraic Geometry 14E30, 14G17, 14B05, 14J32 |
| url | https://arxiv.org/abs/2604.05293 |