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

preprint2012arXivOpen access

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.

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

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