%0 Unpublished work
%T ON THE DECOMPOSITION OF A 2D-COMPLEX GERM WITH NON-ISOLATED SINGULARITIES
%+ Aix Marseille Université (AMU)
%A Combe, Noémie
%8 2015-03-09
%D 2015
%Z 1411.3395
%Z Mathematics [math]
%Z Mathematics [math]/Algebraic Geometry [math.AG]Preprints, Working Papers, ...
%X The decomposition of a two dimensional complex germ with non-isolated singular-ity 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.
%G English
%2 https://hal.science/hal-01128570/document
%2 https://hal.science/hal-01128570/file/Decomposition.pdf
%L hal-01128570
%U https://hal.science/hal-01128570
%~ UNIV-AMU
%~ I2M