English

Differentiable equisingularity of holomorphic foliations

Dynamical Systems 2016-11-10 v1

Abstract

We prove that a CC^{\infty} equivalence between germs holomorphic foliations at (C2,0)({\mathbb C}^2,0) establishes a bijection between the sets of formal separatrices preserving equisingularity classes. As a consequence, if one of the foliations is of second type, so is the other and they are equisingular.

Keywords

Cite

@article{arxiv.1611.03004,
  title  = {Differentiable equisingularity of holomorphic foliations},
  author = {Rogério Mol and Rudy Rosas},
  journal= {arXiv preprint arXiv:1611.03004},
  year   = {2016}
}
R2 v1 2026-06-22T16:47:19.720Z