<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

Publicado en línea: 31 dic 2020

Páginas: 65 - 77

Recibido: 07 may 2019

Aceptado: 15 nov 2019

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

Palabras clave
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

Publicado en línea: 31 dic 2020

Páginas: 65 - 77

Recibido: 07 may 2019

Aceptado: 15 nov 2019

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

Palabras claverreducibility 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.

Palabras clave
rreducibility of polynomials, Newton diagram, Newton polygon, plane algebraic curve