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
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.