Perturbing plane cruve singularities.
We describe the singularity of all but finitely-many germs in a pencil generated by two germs of plane curve sharing no tangent.
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Displaying 1 – 8 of 8
Picard Groups of Singular Affine Curves over a Perfect Fields.
Roger Wiegand (1988/1989)
Mathematische Zeitschrift
Pinceaux de courbes planes et invariants polaires
Evelia R. García Barroso, Arkadiusz Płoski (2004)
Annales Polonici Mathematici
We study pencils of plane curves , t ∈ ℂ, using the notion of polar invariant of the plane curve f = 0 with respect to a smooth curve l = 0. More precisely we compute the jacobian Newton polygon of the generic fiber , t ∈ ℂ. The main result gives the description of pencils which have an irreducible fiber. Furthermore we prove some applications of the local properties of pencils to singularities at infinity of polynomials in two complex variables.
Plane curves whose singular points are cusps and triple coverings of p2.
Hisao Yoshihara (1989)
Manuscripta mathematica
Plücker conditions on plane rational curves.
Alf Bjorn Aure (1984)
Mathematica Scandinavica
Points rationnels de la courbe modulaire
Jean-François Mestre (1980)
Annales de l'institut Fourier
On démontre que les seuls points rationnels sur de la courbe sont les pointes.En conséquence, il n’existe pas de courbe elliptique définie sur possédant un sous-groupe cyclique rationnel d’ordre .
Polynôme d'Hilbert-Samuel des clôtures intégrales des puissances d'un idéal m-primaire
Marcel Morales (1984)
Bulletin de la Société Mathématique de France
Puiseux Expansion of a Cuspidal Singularity
Maciej Borodzik (2012)
Bulletin of the Polish Academy of Sciences. Mathematics
We present an effective and elementary method of determining the topological type of a cuspidal plane curve singularity with given local parametrization.
Currently displaying 1 – 8 of 8
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