Bi-Lipschitz geometry of weighted homogeneous surface singularities

被引：10

作者：

Birbrair, Lev ^{[2
]}

Fernandes, Alexandre ^{[2
]}

Neumann, Walter D. ^{[1
]}

机构：

[1] Columbia Univ, Barnard Coll, Dept Math, New York, NY 10027 USA

[2] Univ Fed Ceara, Dept Matemat, BR-60455760 Fortaleza, Ceara, Brazil

来源：

MATHEMATISCHE ANNALEN | 2008年 / 342卷 / 01期

基金：

美国国家科学基金会;

关键词：

14B05; 14J17; 32S25;

D O I：

10.1007/s00208-008-0225-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that a weighted homogeneous complex surface singularity is metrically conical (i.e., bi-Lipschitz equivalent to a metric cone) only if its two lowest weights are equal. We also give an example of a pair of weighted homogeneous complex surface singularities that are topologically equivalent but not bi-Lipschitz equivalent.

引用

页码：139 / 144

页数：6