Bi-Lipschitz geometry of weighted homogeneous surface singularities

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dc.creatorBirbrair, Lev
dc.creatorFernandes, Alexandre
dc.creatorNeumann, Walter D.
dc.date2007-04-16
dc.date2007-12-07
dc.date.accessioned2026-07-07T10:00:06Z
dc.date.available2026-07-07T10:00:06Z
dc.descriptionWe 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.
dc.description5 pages. Added result that nonhomogeneous cyclic quotients are not conical
dc.identifierhttps://arxiv.org/abs/0704.2041
dc.identifierhttp://arxiv.org/abs/0704.2041
dc.identifierMath. Ann. 342 (2008), 139--144
dc.identifierdoi:10.1007/s00208-008-0225-4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168242
dc.subjectAlgebraic Geometry
dc.subjectGeometric Topology
dc.subjectMetric Geometry
dc.subject14B05, 32S50
dc.titleBi-Lipschitz geometry of weighted homogeneous surface singularities
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