Structural stability of the Jouanolou foliation of degree 2
Dynamical Systems
2023-03-17 v1
Abstract
We show that the Jouanolou foliation of degree 2 on the complex projective plane is structurally stable. Moreover, its Fatou set is a fibration on the Klein quartic with the structure of a smooth fiber bundle in disks. In particular, there is no dense leaf.
Keywords
Cite
@article{arxiv.2303.09313,
title = {Structural stability of the Jouanolou foliation of degree 2},
author = {Aurélien Alvarez and Bertrand Deroin},
journal= {arXiv preprint arXiv:2303.09313},
year = {2023}
}
Comments
in French language