Mori dream K3 surfaces of Picard number four: projective models and Cox rings
Algebraic Geometry
2020-11-03 v1
Abstract
In this paper we study the geometry of the families of K3 surfaces of Picard number four with finite automorphism group, whose N\'eron-Severi lattices have been classified by \`E.B. Vinberg. We provide projective models, we identify the degrees of a generating set of the Cox ring and in some cases we prove the unirationality of the associated moduli space.
Keywords
Cite
@article{arxiv.2011.00475,
title = {Mori dream K3 surfaces of Picard number four: projective models and Cox rings},
author = {Michela Artebani and Claudia Correa Deisler and Xavier Roulleau},
journal= {arXiv preprint arXiv:2011.00475},
year = {2020}
}
Comments
40 pages, 7 tables, 2 ancilliary files