97 citations · 523 across the 45 of their papers we have counts for
56 papers
Extreme values of the resurgence for homogeneous ideals in polynomial rings
Brian Harbourne, Jake Kettinger, Frank Zimmitti
We show that two ostensibly different versions of the asymptotic resurgence introduced by Guardo, Harbourne and Van Tuyl in 2013 are the same. We also show that the resurgence and…
Expecting the unexpected: quantifying the persistence of unexpected hypersurfaces
Giuseppe Favacchio, Elena Guardo, Brian Harbourne +1
If is a reduced subscheme, we say that admits an unexpected hypersurface of degree for multiplicity if the imposition of having multiplicity …
Real and complex supersolvable line arrangements in the projective plane
Krishna Hanumanthu, Brian Harbourne
We study supersolvable line arrangements in over the reals and over the complex numbers, as the first step toward a combinatorial classification. Our main results s…
A matrixwise approach to unexpected hypersurfaces
Marcin Dumnicki, Lucja Farnik, Brian Harbourne +3
The aim of this note is to give a generalization of some results concerning unexpected hypersurfaces. Unexpected hypersurfaces occur when the actual dimension of the space of forms…
Veneroni maps
M. Dumnicki, L. Farnik, B. Harbourne +2
Veneroni maps are a class of birational transformations of projective spaces. This class contains the classical Cremona transformation of the plane, the cubo-cubic transformation o…
Bounded volume denominators and bounded negativity
Thomas Bauer, Brian Harbourne, Alex Küronya +1
In this paper we study the question of whether on smooth projective surfaces the denominators in the volumes of big line bundles are bounded. In particular we investigate how this…