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arXiv · 1411.3395

On the decomposition of a 2D-complex germ with non-isolated singularities

Noémie Combe
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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.

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Noémie Combe. 2014-11-12. On the decomposition of a 2D-complex germ with non-isolated singularities. https://arxiv.org/abs/1411.3395

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