Nearly irreducibility of polynomials and the Newton diagrams

Masternak, Mateusz

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, Tome 19 (2020), pp. 65-77.

Résumé

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 C^2. In the paper we give a criterion of nearly irreducibility for a given polynomial f in terms of its Newton diagram.

Détail

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

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