An atlas of K3 surfaces with finite automorphism group

被引：3

作者：

Roulleau, Xavier ^{[1
]}

机构：

[1] Aix Marseille Univ, CNRS, Cent Marseille, I2M,UMR 7373, F-13453 Marseille, France

来源：

EPIJOURNAL DE GEOMETRIE ALGEBRIQUE | 2022年 / 6卷

关键词：

  K3; surfaces; finite automorphism groups; finite number of (-2)-curves; Vinberg algorithms; COX RINGS; PROJECTIVE MODELS; CURVES; FAMILIES; MODULI;

D O I：

10.48550/arXiv.2003.08985

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the geometry of K3 surfaces with finite automorphism group and Picard number at least 3. We describe these surfaces classified by Nikulin and Vinberg as double covers of simpler surfaces or as embedded in a projective space. We study, moreover, the configurations of their finite set of (-2)-curves.

引用

页数：95

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