Sur la dynamique des diff\'eomorphismes birationnels des surfaces alg\'ebriques r\'eelles : ensemble de Fatou et lieu r\'eel
Dynamical Systems
2012-06-19 v1 Algebraic Geometry
Abstract
This text deals with birationnal diffeomorphisms of real algebraic surfaces which have simple real dynamics and rich complex dynamics. We give an example of such a transformation on P^1xP^1, then we show that this situation is exceptional and implies strong conditions on both the topology of the real locus and the real dynamics.
Keywords
Cite
@article{arxiv.1206.3692,
title = {Sur la dynamique des diff\'eomorphismes birationnels des surfaces alg\'ebriques r\'eelles : ensemble de Fatou et lieu r\'eel},
author = {Arnaud Moncet},
journal= {arXiv preprint arXiv:1206.3692},
year = {2012}
}