Pinceaux de courbes planes et invariants polaires

  1. Evelia R. García Barroso 1
  2. Arkadiusz Płoski
  1. 1 Universidad de La Laguna
    info

    Universidad de La Laguna

    San Cristobal de La Laguna, España

    ROR https://ror.org/01r9z8p25

Revue:
Annales Polonici Mathematici

ISSN: 0066-2216

Année de publication: 2004

Volumen: 83

Número: 2

Pages: 113-128

Type: Article

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D'autres publications dans: Annales Polonici Mathematici

Résumé

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.