10 citations · 23 across the 4 of their papers we have counts for
10 papers
Initial Newton polynomial of the discriminant
Beata Gryszka, Janusz Gwoździewicz, Adam Parusiński
Let be a holomorphic mapping with an isolated zero. We show that the initial Newton polynomial of its discriminant is…
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…
Łojasiewicz exponents and Farey sequences
A. B. de Felipe, E. R. García Barroso, J. Gwoździewicz +1
\noindent Let be an ideal of the ring of formal power series $\bK[[x,y]]$ with coefficients in an algebraically closed field $\bK$ of arbitrary characteristic. Let denote t…
On the Sylvester-Gallai theorem for conics
Adam Czaplinski, Marcin Dumnicki, Lucja Farnik +6
In the present note we give a new proof of a result due to Wiseman and Wilson which establishes an analogue of the Sylvester-Gallai theorem valid for curves of degree two. The main…
Semigroups corresponding to branches at infinity of coordinate lines in the affine plane
Evelia R. García Barroso, Janusz Gwoździewicz, Arkadiusz Płoski
We characterize in terms of characteristic sequences the semigroups corresponding to branches at infinity of plane affine curves for which there exists a polynomial automorphis…
Quasi-ordinary singularities: tree model, discriminant and irreducibility
Evelia R. García Barroso, Janusz Gwozdziewicz
Let be a quasi-ordinary Weierstrass polynomial with coefficients in the ring of formal power series over an algebraically closed field of characteri…