36 citations · 276 across the 69 of their papers we have counts for
6 papers · 1 filter
Klein's arrangements of lines and conics
Gábor Gévay, Piotr Pokora
In this paper we construct several arrangements of lines and/or conics that are derived from the geometry of the Klein arrangement of lines in the complex projective plane.
Hunting for Miyaoka-Kobayashi curves
Alexandru Dimca, Piotr Pokora
We study the possible singularities of Miyaoka-Kobayashi curves and prove several results about the non-existence of such curves in degrees .
Maximizing curves viewed as free curves
Alexandru Dimca, Piotr Pokora
The aim of this paper is to provide a direct link between maximizing curves that occur in the construction of smooth algebraic surfaces having the maximal possible Picard numbers a…
-conic arrangements in the complex projective plane
Piotr Pokora
We study the geometry of -conic arrangements in the complex projective plane. These are arrangements consisting of smooth conics and they admit certain quasi-homogeneo…
Special triple covers of algebraic surfaces
Nicolina Istrati, Piotr Pokora, Sönke Rollenske
We study special triple covers of algebraic surfaces, where the Tschirnhausen bundle is a quotient o…
Algebraic properties of Levi graphs associated with curve arrangements
Piotr Pokora, Tim Römer
In the present paper we study algebraic properties of edge ideals associated with plane curve arrangements via their Levi graphs. Using combinatorial properties of such Levi graphs…