English

The most symmetric smooth cubic surface

Algebraic Geometry 2025-06-05 v3

Abstract

In this paper for any field of characteristic different from 2 we find the largest automorphism group of a smooth cubic surface over this field. Moreover, we prove that for a given field a smooth cubic surface with the largest automorphism group is unique up to isomorphism.

Keywords

Cite

@article{arxiv.2407.09997,
  title  = {The most symmetric smooth cubic surface},
  author = {Anastasia V. Vikulova},
  journal= {arXiv preprint arXiv:2407.09997},
  year   = {2025}
}

Comments

arXiv admin note: text overlap with arXiv:2312.17032

R2 v1 2026-06-28T17:39:55.772Z