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

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.