On non-symplectic automorphisms of K3 surfaces

Alessandra Sarti
Université de Poitiers (France)
Automorphisms of
surfaces were very much studied in the last years. Depending on the action on the holomorphic two form which can be trivial or not, they are called symplectic or non-symplectic. The aim of the talk is to present recent results in the study of non-symplectic  automorphisms of 2-power order. In particular in the case of the order 16 I completely describe the families of
surfaces carrying such automorphisms and I compute the invariant lattice.