10 citations · 13 across the 5 of their papers we have counts for
5 papers
Loose edges and factorization theorems
Janusz Gwoździewicz, Beata Hejmej, Bernd Schober
Let be a regular local ring with maximal ideal . We consider elements such that their Newton polyhedron has a loose edge. We show that if the symb…
Loose edges
Janusz Gwoździewicz, Beata Hejmej
We consider formal power series in several variables with coefficients in arbitrary field such that their Newton polyhedron has a loose edge. We show that if the symbolic restricti…
On Abhyankar's irreducibility criterion for quasi-ordinary polynomials
Janusz Gwoździewicz, Beata Hejmej
Let and be Weierstrass polynomials with coefficients in the ring of formal power series over an algebraically closed field of characteristic zero. Assume that is irredu…
A note about irreducibility of a resultant
Beata Hejmej
We present a theorem about irreducibility of a polynomial that is the resultant of two others polynomials. The proof of this fact is based on the field theory. We also consider the…
Initial sequences and Waldschmidt constants of planar point configurations
Łucja Farnik, Janusz Gwoździewicz, Beata Hejmej +3
The purpose of this work is to extend the classification of planar point configurations with low Waldschmidt constants for all values less than . As a consequence we prove a c…