Free automorphisms of positive entropy on smooth Kähler surfaces

Abstract

We prove that there is a projective K3 surface admitting a (fixed point) free automorphism of positive entropy and that no smooth compact Kähler surface other than projective K3 surfaces and their blow up admits such an automorphism.

arXiv comment10 pages, some typos are corrected, one reference together with a very important comment from Professor Bert van Geemen is added