Dolgachev

Wild Automorphisms of K3 Surfaces

An automorphism of a K3 surface is called wild if its order is divisible by the characteristic of the ground field. I will explain why wild automorphisms occur only if the characteristic is less or equal than 11. I will discuss some examples of K3 surfaces which admit wild automorphisms and possible classification of finite groups of symplectic automorphisms containing wild automorphisms.