Nearly irreducibility of polynomials and the Newton diagrams

Authors

  • Mateusz Masternak Institute of Mathematics Faculty of Mathematics and Natural Sciences Jan Kochanowski University in Kielce ul. Świętokrzyska 15A PL 25-406 Kielce

Keywords:

irreducibility of polynomials, Newton diagram, Newton polygon, plane algebraic curve

Abstract

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.

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Published

2020-01-22

How to Cite

Masternak, M. (2020). Nearly irreducibility of polynomials and the Newton diagrams. Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica, 19, 65–77. Retrieved from https://studmath.up.krakow.pl/article/view/7329

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