On the singularities of Polar curves.
Eduardo Casas (1983)
Manuscripta mathematica
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Displaying similar documents to “Singularities of polar curves”
On the singularities of Polar curves.
Real algebraic curves, the moment map and amoebas.
Mikhalkin, G. (2000)
Annals of Mathematics. Second Series
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Base points of polar curves
Eduardo Casas-Alvero (1991)
Annales de l'institut Fourier
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The base points of the system of polar curves of an irreducible algebroid plane curve with general moduli are determined. As consequences a lower bound for the Tjurina number and many continuous analytic invariants of the curve are found.
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.
On polar invariants of hypersurface singularities
Alejandro Melle-Hernández (2000)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Elliptic fibres on Enriques surfaces
G. Angermüller, W. Barth (1982)
Compositio Mathematica
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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.
On the computation of Weierstrass gap sequences.
Notari, R. (1999)
Rendiconti del Seminario Matematico
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Singularities of lightcone pedals of spacelike curves in Lorentz-Minkowski 3-space
Liang Chen (2016)
Open Mathematics
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In this paper, geometric properties of spacelike curves on a timelike surface in Lorentz-Minkowski 3-space are investigated by applying the singularity theory of smooth functions from the contact viewpoint.
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...