58 citations · 142 across the 6 of their papers we have counts for
8 papers
On -syzygy and unexpected plane curves
Grzegorz Malara, Piotr Pokora, Halszka Tutaj-Gasińska
In this note we study curves (arrangements) in the complex projective plane which can be considered as generalizations of free curves. We construct families of arrangements which a…
New constructions of unexpected hypersurfaces in
Brian Harbourne, Juan Migliore, Halszka Tutaj-Gasińska
In the paper we present new examples of unexpected varieties. The research on unexpected varieties started with a paper of Cook II, Harbourne, Migliore and Nagel and was continued…
On the parameter space of Böröczky configurations
Łucja Farnik, Jakub Kabat, Magdalena Lampa-Baczyńska +1
Böröczky configurations of lines have been recently considered in connection with the problem of the containment between symbolic and ordinary powers of ideals. Here we describe pa…
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…
Resurgences for ideals of special point configurations in coming from hyperplane arrangements
Marcin Dumnicki, Brian Harbourne, Uwe Nagel +3
Symbolic powers of ideals have attracted interest in commutative algebra and algebraic geometry for many years, with a notable recent focus on containment relations between symboli…