Bi-Lipschitz geometry of weighted homogeneous surface singularities

Details Bi-Lipschitz geometry of weighted homogeneous surface singularities Bi-Lipschitz geometry of weighted homogeneous surface singularities

2007-04-16

arxiv.org/abs/0704.2041v3

Math. Ann. 342 (2008), 139--144

Mathematics

Algebraic Geometry

5 pages. Added result that nonhomogeneous cyclic quotients are not conical

Scientific paper

10.1007/s00208-008-0225-4

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.

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