论文标题

PICARD第四号的Mori Dream K3表面:投影模型和Cox戒指

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

论文作者

Artebani, Michela, Deisler, Claudia Correa, Roulleau, Xavier

论文摘要

在本文中,我们研究了Picard第四的K3表面的$ 14 $的几何形状,其中有限的自动形态小组,其Néron-Severi lattices已由è.b。分类。温伯格。我们提供投影模型,确定Cox环的生成集的程度,在某些情况下,我们证明了相关模量空间的不合理性。

In this paper we study the geometry of the $14$ families of K3 surfaces of Picard number four with finite automorphism group, whose Néron-Severi lattices have been classified by È.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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