Bi-Lipschitz geometry of weighted homogeneous surface singularities
Algebraic Geometry
2008-09-04 v3 Geometric Topology
Metric Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.0704.2041,
title = {Bi-Lipschitz geometry of weighted homogeneous surface singularities},
author = {Lev Birbrair and Alexandre Fernandes and Walter D. Neumann},
journal= {arXiv preprint arXiv:0704.2041},
year = {2008}
}
Comments
5 pages. Added result that nonhomogeneous cyclic quotients are not conical