arXiv subjects

Mateusz Masternak

Publications and source records attributed to Mateusz Masternak.

2 recordsLinked to original sources

arXiv2024

On the equisingularity class of the general higher order polars of plane branches

In this paper we describe the factorization of the higher order polars of a generic branch in its equisingularity class. We generalize the results of Casas-Alvero and Hefez-Hernandes-Hernández to higher order polars.

math.AG↗

arXiv2019

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

math.AG↗