The largest automorphism group of del Pezzo surface of degree $2$ without points
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909467090616320 |
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| author | Vikulova, Anastasia V. |
| author_facet | Vikulova, Anastasia V. |
| contents | We construct an example of a field and a del Pezzo surface of degree $2$ over this field without points such that its automorphism group is isomorphic to $\mathrm{PSL}_2(\mathbb{F}_7) \times \mathbb{Z}/2\mathbb{Z},$ which is the largest possible automorphism group of del Pezzo surface of degree $2$ over an algebraically closed field of characteristic zero. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_16267 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The largest automorphism group of del Pezzo surface of degree $2$ without points Vikulova, Anastasia V. Algebraic Geometry We construct an example of a field and a del Pezzo surface of degree $2$ over this field without points such that its automorphism group is isomorphic to $\mathrm{PSL}_2(\mathbb{F}_7) \times \mathbb{Z}/2\mathbb{Z},$ which is the largest possible automorphism group of del Pezzo surface of degree $2$ over an algebraically closed field of characteristic zero. |
| title | The largest automorphism group of del Pezzo surface of degree $2$ without points |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2501.16267 |