Nearly irreducibility of polynomials and the Newton diagrams

Let f be a polynomial in two complex variables. We say that f is nearly irreducible if any two nonconstant polynomial factors of f have a common zero in C2. In the paper we give a criterion of nearly irreducibility for a given polynomial f in terms of its Newton diagram.

Bibliographic Details
Main Author: Mateusz Masternak
Format: Article
Language:deu
Published: Wydawnictwo Naukowe Uniwersytetu Pedagogicznego 2020-01-01
Series:Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica
Subjects:
Online Access:https://studmath.up.krakow.pl/index.php/studmath/article/view/7329
Description
Summary:Let f be a polynomial in two complex variables. We say that f is nearly irreducible if any two nonconstant polynomial factors of f have a common zero in C2. In the paper we give a criterion of nearly irreducibility for a given polynomial f in terms of its Newton diagram.
ISSN:2081-545X
2300-133X