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arXiv · 2501.16267

The largest automorphism group of del Pezzo surface of degree $2$ without points

Anastasia V. Vikulova
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Abstract

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.

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Anastasia V. Vikulova. 2025-01-27. The largest automorphism group of del Pezzo surface of degree $2$ without points. https://arxiv.org/abs/2501.16267

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