36 citations · 276 across the 69 of their papers we have counts for
6 papers · 1 filter
On the local negativity of surfaces with numerically trivial canonical class
Roberto Laface, Piotr Pokora
In this note we study the local negativity for certain configurations of smooth rational curves in smooth surfaces with numerically trivial canonical class. We show that for such r…
Curve configurations in the projective plane and their characteristic numbers
Adam Czapliński, Piotr Pokora
In this paper we study the concept of characteristic numbers and Chern slopes in the context of curve configurations in the real and complex projective plane. We show that some ext…
On integral Zariski decompositions of pseudoeffective divisors on algebraic surfaces
Brian Harbourne, Piotr Pokora, Halszka Tutaj-Gasińska
In this note we consider the problem of integrality of Zariski decompositions for pseudoeffective integral divisors on algebraic surfaces. We show that while sometimes integrality…
Harbourne constants and conic configurations on the projective plane
Piotr Pokora, Halszka Tutaj-Gasińska
In this note we exhibit the so-called Harbourne constants which capture and measure the Bounded Negativity on various birational models of an algebraic surface. We show an estimati…
Numerical and enumerative results on Okounkov bodies
Piotr Pokora
In this note we focus on three independent problems on Okounkov bodies for projective varieties. The main goal is to present a geometric version of the classical Fujita Approximati…
Harbourne constants and arrangements of lines on smooth hypersurfaces in
Piotr Pokora
In this note we find a bound for the so-called global linear Harbourne constants for smooth hypersurfaces in