2 citations · 2 across the 5 of their papers we have counts for
6 papers
On the containment and configurations of triple points in Böröczky line arrangements
Jakub Kabat
We study sets of triple points of Böröczky's arrangements of lines in the context of the containment problem proposed by Harbourne and Huneke. We show that in the class of those ar…
On nearly free arrangements of lines with nodes and triple points
Jakub Kabat
We provide a classification result on nearly free arrangements of lines in the complex projective plane with nodes and triple points.
Supersolvable resolutions of line arrangements
Jakub Kabat
The main purpose of the present paper is to study the numerical properties of supersolvable resolutions of line arrangements. We provide upper-bounds on the so-called extension to…
Diminished Fermat-type arrangements and unexpected curves
Jakub Kabat, Beata Strycharz-Szemberg
The purpose of this note is to present and study a new series of the so-called unexpected curves. They enjoy a surprising property to the effect that their degree grows to infinity…
Containment problem and combinatorics
Łucja Farnik, Jakub Kabat, Magdalena Lampa-Baczyńska +1
In this note we consider two configurations of twelve lines with nineteen triple points (i.e., points where three lines meet). Both of them have the same combinatorial features. In…
On the parameter space of Böröczky configurations
Łucja Farnik, Jakub Kabat, Magdalena Lampa-Baczyńska +1
Böröczky configurations of lines have been recently considered in connection with the problem of the containment between symbolic and ordinary powers of ideals. Here we describe pa…