3 citations · 3 across the 1 of their papers we have counts for
5 papers
On Seshadri constants and point-curve configurations
Marek Janasz, Piotr Pokora
In the note we study the multipoint Seshadri constants of centered at singular loci of certain curve arrangements in the complex proj…
On submaximal curves in fake projective planes
Piotr Pokora, Halszka Tutaj-Gasinska
The main purpose of the note is to exclude the existence of certain submaximal curves in fake projective planes. This will lead to lower bounds on multipoint Seshadri constants of…
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…
Hirzebruch-Kummer covers of algebraic surfaces
Piotr Pokora
The aim of this paper is to show that using some natural curve arrangements in algebraic surfaces and Hirzebruch-Kummer covers one cannot construct new examples of ball-quotients,…
The 21 reducible polars of Klein's quartic
Piotr Pokora, Joaquim Roé
We describe the singularities and related properties of the arrangement of 21 reducible polars of Klein's quartic, containing Klein's well-known arrangement of lines.