An atlas of K3 surfaces with finite automorphism group

Xavier Roulleau (1)

1 AMU - Aix Marseille Université

We study the geometry of the K3 surfaces $X$ with a finite number automorphisms and Picard number $\geq 3$. We describe these surfaces classified by Nikulin and Vinberg as double covers of simpler surfaces or embedded in a projective space. We study moreover the configurations of their finite set of $(-2)$-curves.

Domaines: Géométrie algébrique [math.AG]

Xavier Roulleau. An atlas of K3 surfaces with finite automorphism group. Épijournal de Géométrie Algébrique, 2022. ⟨hal-02537218⟩