The mirror symmetry of K3 surfaces with non-symplectic automorphisms of prime order

Abstract

We consider K3 surfaces that possess a non-symplectic automorphism of prime order p > 2 and we present, for these surfaces, a correspondence between the mirror symmetry of Berglund-Hübsch- Chiodo-Ruan and that for lattice polarized K3 surfaces presented by Dolgachev.