Pinceaux de courbes planes et invariants polaires

• Autorzy: Evelia R. García Barroso , Arkadiusz Płoski
• Języki publikacji: FR EN

Abstrakty

EN

We study pencils of plane curves $f_t = f - tl^N$, 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.

Kategorie tematyczne

• 32S55: Milnor fibration; relations with knot theory
• 14H20: Singularities, local rings

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2004
• Tom: 83
• Numer: 2
• Strony: 113-128

Daty

wydano

2004

Twórcy

autor

Evelia R. García Barroso

• Departamento de Matemática Fundamental, Facultad de Matemáticas, Universidad de La Laguna, 38271 La Laguna, Tenerife, España

autor

Arkadiusz Płoski

• Department of Mathematics, Technical University, Al. 1000 L PP 7, 25-314 Kielce, Poland

Identyfikatory

DOI

10.4064/ap83-2-3