Displaying similar documents to “Singularities of lightcone pedals of spacelike curves in Lorentz-Minkowski 3-space”

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.

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...

Puiseux Expansion of a Cuspidal Singularity

Maciej Borodzik (2012)

Bulletin of the Polish Academy of Sciences. Mathematics

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We present an effective and elementary method of determining the topological type of a cuspidal plane curve singularity with given local parametrization.