Nearly irreducibility of polynomials and the Newton diagrams

Mateusz Masternak

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica (2020)

  • Volume: 19, page 65-77
  • ISSN: 2300-133X

Abstract

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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.

How to cite

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Mateusz Masternak. "Nearly irreducibility of polynomials and the Newton diagrams." Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 19 (2020): 65-77. <http://eudml.org/doc/296808>.

@article{MateuszMasternak2020,
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.},
author = {Mateusz Masternak},
journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica},
keywords = {irreducibility of polynomials; Newton diagram; Newton polygon; plane algebraic curve},
language = {eng},
pages = {65-77},
title = {Nearly irreducibility of polynomials and the Newton diagrams},
url = {http://eudml.org/doc/296808},
volume = {19},
year = {2020},
}

TY - JOUR
AU - Mateusz Masternak
TI - Nearly irreducibility of polynomials and the Newton diagrams
JO - Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
PY - 2020
VL - 19
SP - 65
EP - 77
AB - 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.
LA - eng
KW - irreducibility of polynomials; Newton diagram; Newton polygon; plane algebraic curve
UR - http://eudml.org/doc/296808
ER -

References

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  15. Płoski, Arkadiusz. "Newton polygons and the Łojasiewicz exponent of a holomorphic mapping of C2." Ann. Polon. Math. 51 (1990): 275-281. 
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