36 citations · 276 across the 69 of their papers we have counts for
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Simplicial arrangements in real projective three-space revisited
Marek Janasz, Piotr Pokora
In this paper we study irreducible simplicial arrangements of projective planes in from combinatorial and projective geometry viewpoints. We first form…
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…
Hirzebruch-type inequalities viewed as tools in combinatorics
Piotr Pokora
The main purpose of this survey is to provide an introduction, algebro-topological in nature, to Hirzebuch-type inequalities for plane curve arrangements in the complex projective…
On the Sylvester-Gallai and the orchard problem for pseudoline arrangements
Jürgen Bokowski, Piotr Pokora
We study a non-trivial extreme case of the orchard problem for pseudolines and we provide a complete classification of pseudoline arrangements having triple points and $9…