Non-symplectic automorphisms of 3-power order on $K3$ surfaces

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Shingo Taki¹ 

[1] Korea Institute for Advanced Study

关键词: K3 surface;    non-symplectic automorphism.;   

DOI  :  10.3792/pjaa.86.125

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

We classify non-symplectic automorphisms of 3-power order on algebraic $K3$ surfaces which act trivially on the Néron-Severi lattice, i.e., we describe their fixed locus. Moreover we give Weierstrass equations of $K3$ surfaces with a non-symplectic automorphism of 3-power order.

【 授权许可】

Unknown