Classification of non-symplectic automorphisms of order 3 on $K3$ surfaces

Abstract

In this paper, we study non-symplectic automorphisms of order 3 on algebraic $K3$ surface over $\mathbb{C}$ which act trivially on the Néron-Severi lattice. In particular we shall characterize their fixed locus in terms of the invariants of 3-elementary lattices.

19 pages, to appear in Math. Nachr

Cited by in corpus (6)

• Revisiting arithmetic solutions to the $W=0$ condition
• K3 surfaces and log del Pezzo surfaces of index three
• Classification of non-symplectic automorphisms on K3 surfaces which act trivially on the Néron-Severi lattice
• Generalized Borcea-Voisin Construction
• Gonality and Clifford index of curves on elliptic K3 surfaces with Picard number two
• G2-manifolds from K3 surfaces with non-symplectic automorphisms