Order 6 non-symplectic automorphisms of K3 surfaces

Abstract

We classify primitive non-symplectic automorphisms of order 6 on K3 surfaces. We show how their study can be reduced to the study of non-symplectic automorphisms of order 3 and to a local analysis of the fixed loci. In particular, we determine the possible fixed loci and show that when the Picard lattice is fixed, K3 surfaces come in mirror pairs.

Rephrased the main theorem to remove a discrepancy with section 9

References in corpus (3)

• Automorphisms of K3 surfaces
• Classification of K3-surfaces with involution and maximal symplectic symmetry
• K3 surfaces with non-symplectic automorphisms of prime order

Cited by in corpus (1)

• Curves and cycles on K3 surfaces