On hypersurface singularities which are stems
Ruud Pellikaan (1989)
Compositio Mathematica
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Ruud Pellikaan (1989)
Compositio Mathematica
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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.
Alejandro Melle-Hernández (2000)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Floris Takens (1973)
Annales de l'institut Fourier
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normal forms are given for singularities of vectorfields on , which are not flat, and for vectorfields on with , the 1-jet of in the origin is a pure rotation, and some higher order jet of attracting or expanding.
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...
Alexandru Dimca (1984)
Compositio Mathematica
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E. Casas-Alvero (1993)
Compositio Mathematica
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