## Xavier Roulleau - An atlas of K3 surfaces with finite automorphism group

epiga:6286 - Épijournal de Géométrie Algébrique, November 28, 2022, Volume 6 - https://doi.org/10.46298/epiga.2022.6286
An atlas of K3 surfaces with finite automorphism group

Authors: Xavier Roulleau

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.

Volume: Volume 6
Published on: November 28, 2022
Accepted on: June 21, 2022
Submitted on: April 17, 2020
Keywords: Mathematics - Algebraic Geometry,14J28