Bilipschitz Invariants for Germs of Holomorphic Foliations

被引：2

作者：

Rosas, Rudy ^{[1
,2
]}

机构：

[1] Pontificia Univ Catolica Peru, Av Univ 1801, Lima, Peru

[2] Inst Matemat & Ciencias Afines, Calle Biol 245, Lima 12, Peru

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2016年 / 2016卷 / 11期

关键词：

TOPOLOGICAL INVARIANCE; ALGEBRAIC MULTIPLICITY; MODULI;

D O I：

10.1093/imrn/rnv246

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study bilipschitz equivalences of germs of holomorphic foliations in (C-2, 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.

引用

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页码：3425 / 3472

页数：48

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