Bilipschitz invariants for germs of holomorphic foliations

Rudy Rosas

doi:10.1093/imrn/rnv246

Bilipschitz invariants for germs of holomorphic foliations

Rudy Rosas

Sección de Matemáticas

Instituto de Matemática y Ciencias Afines

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	English
Pages (from-to)	3425-3472
Number of pages	48
Journal	International Mathematics Research Notices
Volume	2016
Issue number	11
DOIs	https://doi.org/10.1093/imrn/rnv246
State	Published - 2016

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JO - International Mathematics Research Notices

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Bilipschitz invariants for germs of holomorphic foliations

Abstract

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