Classification of non-symplectic automorphisms on K3 surfaces which act trivially on the Néron-Severi lattice

Abstract

We treat non-symplectic automorphisms on $K3$ surfaces which act trivially on the Néron-Severi lattice. In this paper, we classify non-symplectic automorphisms of prime-power order, especially 2-power order on $K3$ surfaces, i.e., we describe their fixed locus.

15 pages

References in corpus (2)

• Classification of non-symplectic automorphisms of order 3 on $K3$ surfaces
• The moduli space of 8 points on ${\mathbf{P}}^1$ and automorphic forms

Cited by in corpus (4)

• Revisiting arithmetic solutions to the $W=0$ condition
• Counting elliptic fibrations on K3 surfaces
• W=0 Complex Structure Moduli Stabilization on CM-type K3 x K3 Orbifolds:---Arithmetic, Geometry and Particle Physics---
• Automorphisms of K3 surfaces and their applications