Equisingularity at the normalisation
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Publication:5502834
DOI10.1112/jtopol/jtn024zbMath1160.32025arXivmath/0612201OpenAlexW2021411374MaRDI QIDQ5502834
María Pe Pereira, J. Fernández de Bobadilla de Olazabal
Publication date: 9 January 2009
Published in: Journal of Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0612201
Equisingularity (topological and analytic) (32S15) Complex surface and hypersurface singularities (32S25) Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants (32S50)
Related Items (9)
Singularities of Mappings ⋮ Topological Equisingularity: Old Problems from a New Perspective (with an Appendix by G.-M. Greuel and G. Pfister on SINGULAR) ⋮ Double points in families of map germs from ℝ2 to ℝ3 ⋮ Equimultiplicity of families of map germs from \({\mathbb{C}}^2\) to \({\mathbb{C}}^3\) ⋮ On k-folding map-germs and hidden symmetries of surfaces in the Euclidean 3-space ⋮ On the topology of the transversal slice of a quasi-homogeneous map germ ⋮ Equisingularity of families of map germs between curves ⋮ Equisingularity of families of hypersurfaces and applications to mappings ⋮ Whitney equisingularity of families of surfaces in ℂ3
Cites Work
- Deformations of the normalization of hypersurfaces
- A reformulation of Le's conjecture
- Some remarks on the geometry and classification of germs of maps from surfaces to 3-space
- The topology of normal singularities of an algebraic surface and a criterion for simplicity
- The Milnor number and deformations of complex curve singularities
- On the base space of a semi-universal deformation of rational quadruple points
- Polar multiplicities and equisingularity of map germs
- A deformation theory for non-isolated singularities
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