Minimal cubic surfaces over finite fields

Sergey Rybakov, Andrey Trepalin

Let $X$ be a minimal cubic surface over a finite field ${\mathbb{F}}_q$. The image $\Gamma$ of the Galois group $\mathrm{Gal}({\overline{\mathbb{F}}}_q/{\mathbb{F}}_q)$ in the group $…