Bilipschitz invariants for germs of holomorphic foliations

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.