Bilipschitz invariants for germs of holomorphic foliations

Rudy Rosas

Bilipschitz invariants for germs of holomorphic foliations

Rudy Rosas

Sección de Matemáticas

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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 language	Spanish
Pages (from-to)	3425-3472
Number of pages	48
Journal	International Mathematics Research Notices
Volume	2016
State	Published - 1 Jan 2016

Cite this

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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.",

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AB - 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.

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JO - International Mathematics Research Notices

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