<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Let <italic>f</italic> be a polynomial in two complex variables. We say that <italic>f</italic> is nearly irreducible if any two nonconstant polynomial factors of <italic>f</italic> have a common zero in C<sup>2</sup>. In the paper we give a criterion of nearly irreducibility for a given polynomial <italic>f</italic> in terms of its Newton diagram.</p></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.

Nearly irreducibility of polynomials and the Newton diagrams

Faculty of Mathematics and Natural Sciences

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

{"article-title":"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...

Nearly irreducibility of polynomials and the Newton diagrams

Data publikacji: 31 gru 2020

Zakres stron: 65 - 77

Otrzymano: 07 maj 2019

Przyjęty: 15 lis 2019

DOI: https://doi.org/10.2478/aupcsm-2020-0006

Słowa kluczowe
rreducibility of polynomials, Newton diagram, Newton polygon, plane algebraic curve

© 2020 Mateusz Masternak, published by Sciendo

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

Nearly irreducibility of polynomials and the Newton diagrams

Data publikacji: 31 gru 2020

Zakres stron: 65 - 77

Otrzymano: 07 maj 2019

Przyjęty: 15 lis 2019

DOI: https://doi.org/10.2478/aupcsm-2020-0006

Słowa kluczowerreducibility of polynomials, Newton diagram, Newton polygon, plane algebraic curve

© 2020 Mateusz Masternak, published by Sciendo

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

Słowa kluczowe
rreducibility of polynomials, Newton diagram, Newton polygon, plane algebraic curve