B. Gryszka

most citedNon-degeneracy conditions for plane branches

1 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

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.AG2021★ 1 cited

Initial Newton polynomial of the discriminant

Beata Gryszka, Janusz Gwoździewicz, Adam Parusiński

Let $(f, g) : (C^{2}, 0) ⟶ (C^{2}, 0)$ be a holomorphic mapping with an isolated zero. We show that the initial Newton polynomial of its discriminant is…