English

Construction of foliations with prescribed separatrix

Dynamical Systems 2007-05-23 v1

Abstract

We build a germ of singular foliation in dimension two with analytical class of separatrix and holonomy representations prescribed. Thanks to this construction, we study the link between moduli of a foliation and moduli of its separatrix.

Keywords

Cite

@article{arxiv.math/0605755,
  title  = {Construction of foliations with prescribed separatrix},
  author = {Y. Genzmer},
  journal= {arXiv preprint arXiv:math/0605755},
  year   = {2007}
}
R2 v1 2026-07-22T17:36:42.960Z