Normal forms of topologically quasi-homogeneous foliations on $(\C^2,0)$
Dynamical Systems
2013-09-06 v1
Abstract
The aim of this paper is to construct formal normal forms for the class of topologically quasi-homogeneous foliations under generic conditions. Any such normal form is given as the sum of three terms: an initial generic quasi-homogeneous term, a hamiltonian term and a radial term. Moreover, we also show that the number of free coefficients in the hamiltonian part is consistent with the dimension of Mattei's moduli space of unfoldings.
Keywords
Cite
@article{arxiv.1309.1411,
title = {Normal forms of topologically quasi-homogeneous foliations on $(\C^2,0)$},
author = {Truong Hong Minh},
journal= {arXiv preprint arXiv:1309.1411},
year = {2013}
}
Comments
18 pages