Free automorphisms of positive entropy on smooth K\"ahler surfaces
Algebraic Geometry
2012-07-02 v3 Dynamical Systems
Abstract
We prove that there is a projective K3 surface admitting a (fixed point) free automorphism of positive entropy and that no smooth compact K\"ahler surface other than projective K3 surfaces and their blow up admits such an automorphism.
Cite
@article{arxiv.1202.2637,
title = {Free automorphisms of positive entropy on smooth K\"ahler surfaces},
author = {Keiji Oguiso},
journal= {arXiv preprint arXiv:1202.2637},
year = {2012}
}
Comments
10 pages, some typos are corrected, one reference together with a very important comment from Professor Bert van Geemen is added