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

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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Preprints, Working Papers, ...
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https://hal.inria.fr/hal-03046866
Contributor : Xavier Roulleau <>
Submitted on : Tuesday, December 8, 2020 - 3:55:06 PM
Last modification on : Wednesday, December 9, 2020 - 3:03:01 AM

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  • HAL Id : hal-03046866, version 1
  • ARXIV : 2011.00475

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Michela Artebani, Claudia Correa Deisler, Xavier Roulleau. Mori dream K3 surfaces of Picard number four: projective models and Cox rings. 2020. ⟨hal-03046866⟩

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