36 citations · 276 across the 69 of their papers we have counts for
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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…
Addition theorems for Ziegler pairs of hyperplane arrangements
Takuro Abe, Lukas Kühne, Piotr Pokora
Inspired by Terao's freeness conjecture, we examine Ziegler pairs, which are pairs of hyperplane arrangements that share the same underlying matroid but have different modules of l…
On plus-one generated arrangements of plane conics
Artur Bromboszcz, Bartosz Jarosławski, Piotr Pokora
In this paper, we examine the combinatorial properties of conic arrangements in the complex projective plane that possess certain quasi-homogeneous singularities. First, we introdu…
Free line arrangements with low maximal multiplicity
Alexandru Dimca, Lukas Kühne, Piotr Pokora
Let $\A$ be a free arrangement of lines in the complex projective plane, with exponents . Let be the maximal multiplicity of points in $\A$. In this note, we d…
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…
On the addition technique for Betti and Poincaré polynomials of plane curves
Piotr Pokora
Using the addition technique, we present polynomial identities for the Betti and Poincaré polynomials of reduced plane curves.