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

Anastasia V. Vikulova

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

Algebraic Geometry 2025-01-28 v1

Authors: Anastasia V. Vikulova

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.

Keywords

compressible Navier-Stokes boundary layer structural stability subsonic regime low Mach number limit

Cite

@article{arxiv.2501.16267,
  title  = {The largest automorphism group of del Pezzo surface of degree $2$ without points},
  author = {Anastasia V. Vikulova},
  journal= {arXiv preprint arXiv:2501.16267},
  year   = {2025}
}

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