Displaying similar documents to “Simple singularities of multigerms of curves.”

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.

Normal forms for certain singularities of vectorfields

Floris Takens (1973)

Annales de l'institut Fourier

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C ∞ normal forms are given for singularities of C ∞ vectorfields on R , which are not flat, and for C ∞ vectorfields X on R 2 with X ( 0 ) = 0 , the 1-jet of X in the origin is a pure rotation, and some higher order jet of X attracting or expanding.

Curves in P(C) with 1-dimensional symmetry.

A. A. du Plessis, Charles Terence Clegg Wall (1999)

Revista Matemática Complutense

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In a previous paper we showed that the existence of a 1-parameter symmetry group of a hypersurface X in projective space was equivalent to failure of versality of a certain unfolding. Here we study in detail (reduced) plane curves of degree d ≥ 3, excluding the trivial case of cones. We enumerate all possible group actions -these have to be either semisimple or unipotent- for any degree d. A 2-parameter group can only occur if d = 3. Explicit lists of singularities of the corresponding...