The most symmetric smooth cubic surface

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.

arXiv admin note: text overlap with arXiv:2312.17032

References in corpus (2)

• The most symmetric smooth cubic surface over a finite field of characteristic $2$
• Groups acting on cubic surfaces in characteristic zero