Pinceaux de courbes planes et invariants polaires
- Evelia R. García Barroso 1
- Arkadiusz Płoski
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1
Universidad de La Laguna
info
ISSN: 0066-2216
Año de publicación: 2004
Volumen: 83
Número: 2
Páginas: 113-128
Tipo: Artículo
Otras publicaciones en: Annales Polonici Mathematici
Resumen
We study pencils of plane curves ft = f − tlN , t ∈ C, using the notionof polar invariant of the plane curve f = 0 with respect to a smooth curve l = 0. Moreprecisely we compute the jacobian Newton polygon of the generic fiber ft, t ∈ C. Themain result gives the description of pencils which have an irreducible fiber. Furthermorewe prove some applications of the local properties of pencils to singularities at infinity ofpolynomials in two complex variables.