Classifiyng metrically conical rational singularities

2011/12/01 by Helge Møller Pedersen, Pedersen, Helge Møller
Mathematics · #Algebraic Geometry and Number Theory #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.AG #math.GT #msc:14B05 #msc:32S05 #msc:32S25 #msc:57M99

paper · pdf · doi:10.48550/arxiv.1112.0125

This paper has been withdrawn since its result is not correct.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

arxiv created 2015/04/06 · arxiv updated 2015/04/07

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.

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