36 citations · 276 across the 69 of their papers we have counts for
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The orbifold Langer-Miyaoka-Yau inequality and Hirzebruch-type inequalities
Piotr Pokora
Using Langer's variation on the Bogomolov-Miyaoka-Yau inequality \cite[Theorem 0.1]{Langer} we provide some Hirzebruch-type inequalities for curve arrangements in the complex proje…
Hirzebruch-type inequalities and plane curve configurations
Piotr Pokora
In this paper we come back to a problem proposed by F. Hirzebruch in the 1980's, namely whether there exists a configuration of smooth conics in the complex projective plane such t…
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…
Dispersion for the wave equation inside strictly convex domains II: the general case
Oana Ivanovici, Richard Lascar, Gilles Lebeau +1
We consider the wave equation on a manifold of dimension with smooth strictly convex boundary , with Dirichlet boundary conditions. We con…
Local negativity of surfaces with non-negative Koidara dimension and transversal configurations of curves
Roberto Laface, Piotr Pokora
We give a bound on the H-constants of configurations of smooth curves having transversal intersection points only on an algebraic surface of non-negative Kodaira dimension. We also…
Bounded negativity, Harbourne constants and transversal arrangements of curves
Piotr Pokora, Xavier Roulleau, Tomasz Szemberg
The Bounded Negativity Conjecture predicts that for every complex projective surface there exists a number such that holds for all reduced curves $C\subs…