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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.

Autor(es):
Rosas, Rudy
Año: 2016
Título de la revista: International Mathematics Research Notices
Volumen: 21
Página inicial - Página final: 3425–3472
ISSN: 1073-7928
Url: https://academic.oup.com/imrn/article/2016/11/3425/2451531