Pseudo-automorphisms with no invariant foliation
Dynamical Systems
2013-09-30 v2
Abstract
We construct an example of a birational transformation of a rational threefold for which the first and second dynamical degrees coincide and are , but which does not preserve any holomorphic (singular) foliation. In particular, this provides a negative answer to a question of Guedj. On our way, we develop several techniques to study foliations which are invariant under birational transformations.
Keywords
Cite
@article{arxiv.1309.3695,
title = {Pseudo-automorphisms with no invariant foliation},
author = {Eric Bedford and Serge Cantat and Kyounghee Kim},
journal= {arXiv preprint arXiv:1309.3695},
year = {2013}
}