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ArticleOriginal scientific text

Title

On branches at infinity of a pencil of polynomials in two complex variables

Authors 1

Affiliations

  1. Institute of Mathematics, University of Łódź, Banacha 22, 90-238 Łódź, Poland

Abstract

Let F ∈ ℂ[x,y]. Some theorems on the dependence of branches at infinity of the pencil of polynomials f(x,y) - λ, λ ∈ ℂ, on the parameter λ are given.

Bibliography

  1. J. Chądzyński and T. Krasiński, Exponent of growth of polynomial mappings of ℂ² into ℂ, in: Singularities, S. Łojasiewicz (ed.), Banach Center Publ. 20, PWN, Warszawa 1988, 147-160.
  2. W. Engel, Ein Satz über ganze Cremona-Transformationen der Ebene, Math. Ann. 130 (1955), 11-19.
  3. T. T. Moh, On analytic irreducibility at ∞ of a pencil of curves, Proc. Amer. Math. Soc. 44 (1974), 22-24.
  4. W. Pawłucki, Le théorème de Puiseux pour une application sous-analytique, Bull. Polish Acad. Sci. Math. 32 (1984), 555-560.
  5. S. Saks and A. Zygmund, Analytic Functions, Monograf. Mat. 28, PWN, Warszawa 1965.
Annales Polonici Mathematici
1991/55/1
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Pages:
213-220
Main language of publication
English
Received
1990-06-07
Published
1991
Exact and natural sciences