J. Gwoździewicz

activity

19932025

most citedA discriminant criterion of irreducibility

8 citations · 26 across the 15 of their papers we have counts for

collaborators

15 papers

math.AG2025

Eggers decomposition of polar curves in positive characteristic

Ana Belén de Felipe, Evelia R. García Barroso, Janusz Gwoździewicz

Let $f$ be a power series in two variables with coefficients in an algebraically closed field of positive characteristic. We identify a necessary and sufficient condition, read fro…

math.AG2023★ 1 cited

Non-degeneracy conditions for plane branches

Beata Gryszka, Janusz Gwoździewicz

Let $x = t^{n}$ , $y = \sum_{i = 1}^{\infty} a_{i} t^{i}$ be a parametrisation of the germ of a complex plane analytic curve $Γ$ at the origin. Then $Γ$ has the implicit equation $f (x, y) = 0$ in th…

math.AG2021★ 1 cited

On some regularity condition

Beata Gryszka, Janusz Gwoździewicz

Let $K$ be an uncountable field of characteristic zero and let $f$ be a function from $K^{n}$ to $K$ . We show that if the restriction of $f$ to every affin…

math.AG2020

Real Jacobian pairs with components of low degrees

Janusz Gwoździewicz

We prove that every polynomial map $(f, g) : R^{2} \to R^{2}$ with nowhere vanishing Jacobian such that $deg f \leq 5$ , $deg g \leq 6$ is injective.

math.AG2019★ 3 cited

Higher order polars of quasi-ordinary singularities

Evelia Rosa García Barroso, Janusz Gwoździewicz

A quasi-ordinary polynomial is a monic polynomial with coefficients in the power series ring such that its discriminant equals a monomial up to unit. In this paper we study higher…

math.AG2019

Loose edges and factorization theorems

Janusz Gwoździewicz, Beata Hejmej, Bernd Schober

Let $R$ be a regular local ring with maximal ideal $m$ . We consider elements $f \in R$ such that their Newton polyhedron has a loose edge. We show that if the symb…