Pinceaux de courbes planes et invariants polaires

Evelia R. García Barroso; Arkadiusz Płoski

Annales Polonici Mathematici (2004)

  • Volume: 83, Issue: 2, page 113-128
  • ISSN: 0066-2216

Abstract

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We study pencils of plane curves f t = f - t l N , 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 f t , 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.

How to cite

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Evelia R. García Barroso, and Arkadiusz Płoski. "Pinceaux de courbes planes et invariants polaires." Annales Polonici Mathematici 83.2 (2004): 113-128. <http://eudml.org/doc/280800>.

@article{EveliaR2004,
author = {Evelia R. García Barroso, Arkadiusz Płoski},
journal = {Annales Polonici Mathematici},
keywords = {pencil of plane curves; polar invariants; equisingularity; Milnor number; singularity at infinity},
language = {fre},
number = {2},
pages = {113-128},
title = {Pinceaux de courbes planes et invariants polaires},
url = {http://eudml.org/doc/280800},
volume = {83},
year = {2004},
}

TY - JOUR
AU - Evelia R. García Barroso
AU - Arkadiusz Płoski
TI - Pinceaux de courbes planes et invariants polaires
JO - Annales Polonici Mathematici
PY - 2004
VL - 83
IS - 2
SP - 113
EP - 128
LA - fre
KW - pencil of plane curves; polar invariants; equisingularity; Milnor number; singularity at infinity
UR - http://eudml.org/doc/280800
ER -

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