Classifiyng metrically conical rational singularities
Algebraic Geometry
2015-04-07 v2 Geometric Topology
Abstract
In this paper we determine a complete list of rational surface singularities which have metrically conical bilipschitz type of its inner metric. We achieve this by using the thick-thin decomposition of Birbrair, Neumann and Pichon.
Cite
@article{arxiv.1112.0125,
title = {Classifiyng metrically conical rational singularities},
author = {Helge Møller Pedersen},
journal= {arXiv preprint arXiv:1112.0125},
year = {2015}
}
Comments
This paper has been withdrawn since its result is not correct. The members family defined in the paper are rational and metrically conical, but there are rational and metrically conical singularities that are not member of this family. Hence the classification is not complete