A note on integrability and finite orbits for subgroups of Diff(C^n,0)
Dynamical Systems
2014-06-03 v1
Abstract
In this note we extend to arbitrary dimensions a couple of results due respectively to Mattei-Moussu and to Camara-Scardua in dimension 2. We also provide examples of singular foliations having a Siegel-type singularity and answering in the negative the central question left open in the previous work of Camara-Scardua.
Cite
@article{arxiv.1406.0459,
title = {A note on integrability and finite orbits for subgroups of Diff(C^n,0)},
author = {Julio C. Rebelo and Helena Reis},
journal= {arXiv preprint arXiv:1406.0459},
year = {2014}
}
Comments
This paper together with the paper "Discrete orbits, recurrence and solvable subgroups of Diff(C^2,0)" correspond to an expanded and accurate version of our previous preprint "Discrete orbits and special subgroups of Diff(C^n,0)" arXiv:1301.3716