Bilipschitz invariants for germs of holomorphic foliations

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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.
Original languageSpanish
Pages (from-to)3425-3472
Number of pages48
JournalInternational Mathematics Research Notices
Volume2016
StatePublished - 1 Jan 2016

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