An atlas of K3 surfaces with finite automorphism group
Algebraic Geometry
2025-12-10 v6
Abstract
We study the geometry of the K3 surfaces with a finite number automorphisms and Picard number . 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 -curves.
Cite
@article{arxiv.2003.08985,
title = {An atlas of K3 surfaces with finite automorphism group},
author = {Xavier Roulleau},
journal= {arXiv preprint arXiv:2003.08985},
year = {2025}
}
Comments
95 pages, 80 figures, 1 Table