Bilipschitz invariants for germs of holomorphic foliations

2013/08/15 by Rosas, Rudy · 1 citation
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1308.3470

Abstract

In this paper we study bilipschitz equivalences of germs of holomorphic foliations in (ℂ²,0). 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.

Cited by

• On the k-th Milnor and k-th Tjurina Numbers of a Foliation

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