English

Bilipschitz invariants for germs of holomorphic foliations

Dynamical Systems 2016-01-26 v2

Abstract

In this paper we study bilipschitz equivalences of germs of holomorphic foliations in (C2,0)(\mathbb{C}^2,0). We prove that the algebraic multiplicity of a singularity is invariant by such equivalences. Moreover, for a large class of singularities, we show that the projective holonomy representation is also a bilipschitz invariant.

Keywords

Cite

@article{arxiv.1308.3470,
  title  = {Bilipschitz invariants for germs of holomorphic foliations},
  author = {Rudy Rosas},
  journal= {arXiv preprint arXiv:1308.3470},
  year   = {2016}
}