Rigidity for dicritical germ of foliation in the complex plane
Dynamical Systems
2007-05-23 v1
Abstract
We study some kind of rigidity property for dicritical foliation in the complex plane. In fact, we prove that for a generic dicritical foliation, there exists deformations of the resolution space which cannot carry any deformation of the foliation with constant holonomy pseudo-group. This situation never occurs in the non-dicritical case.
Keywords
Cite
@article{arxiv.math/0701130,
title = {Rigidity for dicritical germ of foliation in the complex plane},
author = {Y. Genzmer},
journal= {arXiv preprint arXiv:math/0701130},
year = {2007}
}