A non-symplectic automorphism of order 21 of a K3 surface

Abstract

In this paper, we prove that, over an algebraically closed field whose characteristic is not 2,3 nor 7, a pair of a K3 surface and a purely non-symplectic automorphism of order 21 or 42 is unique up to isomorphism.

This paper has been withdrawn by the author because it turns out that the main result is not true

References in corpus (1)

• A lifting of an automorphism of a K3 surface over odd characteristic

Cited by in corpus (2)

• The classification of purely non-symplectic automorphisms of high order on K3 surfaces
• Remarks on K3 surfaces with non-symplectic automorphisms of order 7