4 papers
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…
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…
Unexpected hypersurfaces of type
Marek Janasz, Grzegorz Malara, Halszka Tutaj-GasiÅska
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 arrangements of smooth plane quartics and their bitangents
Marek Janasz, Piotr Pokora, Marcin ZieliÅski
In the present paper, we revisit the geometry of smooth plane quartics and their bitangents from several perspectives. First, we study in detail the weak combinatorics of arrangeme…