3 papers
math.AG2018
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…
math.AG2018
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…
math.AC2018
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…