Non-symplectic automorphisms of K3 surfaces with one-dimensional moduli space

Michela Artebani, Paola Comparin, María Elisa Valdés

The moduli space of K3 surfaces $X$ with a purely non-symplectic automorphism $\sigma$ of order $n\ge 2$ is one dimensional exactly when $\phi (n)=8$ or $10$. In this paper we classify and…