Invariant Hypersurfaces and Nodal Components of Foliations
Dynamical Systems
2019-08-23 v1 Algebraic Geometry
Abstract
It is known that there is at least an invariant analytic curve passing through each of the components in the complement of nodal singularities, after the reduction of singularities of a germ of singular foliation in }. Here, we state and prove a generalization of this property to any ambient dimension.
Keywords
Cite
@article{arxiv.1908.08324,
title = {Invariant Hypersurfaces and Nodal Components of Foliations},
author = {Felipe Cano and Jean François Mattei and Marianna Ravara-Vago},
journal= {arXiv preprint arXiv:1908.08324},
year = {2019}
}
Comments
Text and two appendices