Geodesic
Nearly irreducibility of polynomials and the Newton diagrams
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, Tome 19 (2020), pp. 65-77

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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 C^2. In the paper we give a criterion of nearly irreducibility for a given polynomial f in terms of its Newton diagram.
Keywords: irreducibility of polynomials, Newton diagram, Newton polygon, plane algebraic curve 
Masternak, Mateusz. Nearly irreducibility of polynomials and the Newton diagrams. Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, Tome 19 (2020), pp. 65-77. http://geodesic.mathdoc.fr/item/AUPCM_2020_19_a5/
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