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arXiv · 2011.00475

Mori dream K3 surfaces of Picard number four: projective models and Cox rings

Michela Artebani·Claudia Correa Deisler·Xavier Roulleau
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Abstract

In this paper we study the geometry of the $14$ 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.

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Michela Artebani, Claudia Correa Deisler, Xavier Roulleau. 2020-11-01. Mori dream K3 surfaces of Picard number four: projective models and Cox rings. https://arxiv.org/abs/2011.00475

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