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Journal Articles Israel Journal of Mathematics Year : 2022

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

Michela Artebani
  • Function : Author
Claudia Correa Deisler
  • Function : Author
Xavier Roulleau
  • Function : Author
  • PersonId : 1046268

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.

Dates and versions

hal-03046866 , version 1 (08-12-2020)

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Michela Artebani, Claudia Correa Deisler, Xavier Roulleau. Mori dream K3 surfaces of Picard number four: projective models and Cox rings. Israel Journal of Mathematics, In press. ⟨hal-03046866⟩

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