9 citations · 13 across the 15 of their papers we have counts for
4 papers · 1 filter
On -arrangements of conics and lines with ordinary singularities
Marek Janasz, Piotr Pokora
In this paper we study combinatorial aspects of reduced plane curves known as -curves. This notion is a natural generalization of maximizing plane curves, which are we…
Unexpected hypersurfaces of type
Marek Janasz, Grzegorz Malara, Halszka Tutaj-Gasińska
Unexpected hypersurfaces arise when vanishing in points of a set and higher-order vanishing along a general linear subspace fails to impose the expected number of independent c…
On free line arrangements with double, triple and quadruple points
Marek Janasz, Izabela Leśniak
We show that there are only finitely many combinatorial types of free real line arrangements with only double, triple and quadruple intersection points, and we enlist all admissibl…
On homological properties of some Cynk-Szemberg octic hyperplane arrangements
Marek Janasz, Piotr Pokora
In this paper we study Cynk-Szemberg octic hyperplane arrangements from the perspective of homological properties of their derivation modules. In particular, we define the notion o…