Displaying similar documents to “Real deformations and complex topology of plane curve singularities”

Simple framed curve singularities

Victor Goryunov, Gabor Lippner (2008)

Banach Center Publications

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We obtain a complete list of simple framed curve singularities in ℂ² and ℂ³ up to the framed equivalence. We also find all the adjacencies between simple framed curves.

Deformation of polar methods

David B. Massey, Dirk Siersma (1992)

Annales de l'institut Fourier

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We study deformations of hypersurfaces with one-dimensional singular loci by two different methods. The first method is by using the Le numbers of a hypersurfaces singularity — this falls under the general heading of a “polar” method. The second method is by studying the number of certain special types of singularities which occur in generic deformations of the original hypersurface. We compare and contrast these two methods, and provide a large number of examples.

Families of smooth curves on surface singularities and wedges

Gérard Gonzalez-Sprinberg, Monique Lejeune-Jalabert (1997)

Annales Polonici Mathematici

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Following the study of the arc structure of singularities, initiated by J. Nash, we give criteria for the existence of smooth curves on a surface singularity (S,O) and of smooth branches of its generic hypersurface section. The main applications are the following: the existence of a natural partition of the set of smooth curves on (S,O) into families, a description of each of them by means of chains of infinitely near points and their associated maximal cycle and the existence of smooth...