On the decomposition of a 2D-complex germ with non-isolated singularities
Algebraic Geometry
2014-11-14 v1
Abstract
The decomposition of a two dimensional complex germ with non-isolated singularity into semi-algebraic sets is given. This decomposition consists of four classes: Riemannian cones defined over a Seifert fibered manifold, a topological cone over thickened tori endowed with Cheeger-Nagase metric, a topological cone over mapping torus endowed with Hsiang-Pati metric and a topological cone over the tubular neighbourhoods of the link's singularities. In this decomposition there exist semi-algebraic sets that are metrically conical over the manifolds constituting the link. The germ is reconstituted up to bi-Lipschitz equivalence to a model describing its geometric behavior.
Keywords
Cite
@article{arxiv.1411.3395,
title = {On the decomposition of a 2D-complex germ with non-isolated singularities},
author = {Noémie Combe},
journal= {arXiv preprint arXiv:1411.3395},
year = {2014}
}