Publications (48)
Betti numbers for fat point ideals in the plane: a geometric approach
Alessandro Gimigliano, Brian Harbourne, Monica IdÃ
An Algorithm for Fat Points on P2
Brian Harbourne
Linear subspaces, symbolic powers and Nagata type conjectures
Marcin Dumnicki, Brian Harbourne, Tomasz Szemberg +1
Very general monomial valuations of $\mathbb{P}^2$ and a Nagata type conjecture
Marcin Dumnicki, Brian Harbourne, Alex Küronya +2
On integral Zariski decompositions of pseudoeffective divisors on algebraic surfaces
Brian Harbourne, Piotr Pokora, Halszka Tutaj-GasiÅska
Resolutions of ideals of fat points with support in a hyperplane
Giuliana Fatabbi, Brian Harbourne, Anna Lorenzini
Discrete behavior of Seshadri constants on surfaces
Brian Harbourne, Joaquim Roe
Bounded volume denominators and bounded negativity
Thomas Bauer, Brian Harbourne, Alex Küronya +1
Recent developments and open problems in linear series
Thomas Bauer, Cristiano Bocci, Susan Cooper +11
Inclics, galaxies, star configurations and Waldschmidt constants
Giuliana Fatabbi, Brian Harbourne, Anna Lorenzini
The resurgence of ideals of points and the containment problem
Cristiano Bocci, Brian Harbourne
The (unexpected) importance of knowing $α$
Brian Harbourne
Seshadri constants and very ample divisors on algebraic surfaces
Brian Harbourne
Are symbolic powers highly evolved?
Brian Harbourne, Craig Huneke
Line arrangements and configurations of points with an unusual geometric property
David Cook, Brian Harbourne, Juan Migliore +1
Containment results for ideals of various configurations of points in P^N
Cristiano Bocci, Susan Cooper, Brian Harbourne
Single point Seshadri constants on rational surfaces
Krishna Hanumanthu, Brian Harbourne
Asymptotic resurgences for ideals of positive dimensional subschemes of projective space
Elena Guardo, Brian Harbourne, Adam Van Tuyl
Free Resolutions of Fat Point Ideals on $P^2$
Brian Harbourne
Linear systems with multiple base points in P2
Brian Harbourne, Joaquim Roé
Generators for Symbolic Powers of Ideals Defining General Points of $P^2$
Brian Harbourne
On Nagata's Conjecture
Brian Harbourne
The role of the cotangent bundle in resolving ideals of fat points in the plane
Alessandro Gimigliano, Brian Harbourne, Monica IdÃ
Resurgences for ideals of special point configurations in ${\bf P}^N$ coming from hyperplane arrangements
Marcin Dumnicki, Brian Harbourne, Uwe Nagel +3
Symbolic powers versus regular powers of ideals of general points in P^1 x P^1
Elena Guardo, Brian Harbourne, Adam Van Tuyl
Combinatorial bounds on Hilbert functions of fat points in projective space
Susan Cooper, Brian Harbourne, Zach Teitler
Inverse systems, Gelfand-Tsetlin patterns and the weak Lefschetz property
Brian Harbourne, Hal Schenck, Alexandra Seceleanu
Asymptotics of linear systems, with connections to line arrangements
Brian Harbourne
On plane rational curves and the splitting of the tangent bundle
Alessandro Gimigliano, Brian Harbourne, Monica IdÃ
The Ideal Generation Problem for Fat Points
Brian Harbourne
Regina Lectures on Fat Points
Susan Cooper, Brian Harbourne
Containment Counterexamples for ideals of various configurations of points in ${\bf P}^N$
Brian Harbourne, Alexandra Seceleanu
A matrixwise approach to unexpected hypersurfaces
Marcin Dumnicki, Lucja Farnik, Brian Harbourne +3
The Waldschmidt constant for squarefree monomial ideals
Cristiano Bocci, Susan Cooper, Elena Guardo +6
Hilbert functions and resolutions for ideals of n = s^2 fat points in P2
Brian Harbourne, Joaquim Roé
Problems and progress: survey on fat points in P2
Brian Harbourne
New constructions of unexpected hypersurfaces in $\mathbb{P}^n$
Brian Harbourne, Juan Migliore, Halszka Tutaj-GasiÅska
A primer on Seshadri constants
Thomas Bauer, Sandra Di Rocco, Brian Harbourne +4
Negative curves on symmetric blowups of the projective plane, resurgences and Waldschmidt constants
Thomas Bauer, Sandra Di Rocco, Brian Harbourne +3
Comparing powers and symbolic powers of ideals
Cristiano Bocci, Brian Harbourne
Anticanonical Rational Surfaces
Brian Harbourne
Fat lines in P^3: powers versus symbolic powers
Elena Guardo, Brian Harbourne, Adam Van Tuyl
Real and complex supersolvable line arrangements in the projective plane
Krishna Hanumanthu, Brian Harbourne
Bounded Negativity and Arrangements of Lines
Thomas Bauer, Sandra Di Rocco, Brian Harbourne +4
Resolutions of Ideals of Uniform Fat Point Subschemes of P^2
Brian Harbourne, Sandeep Holay, Stephanie Fitchett
Resolutions of fat point ideals involving 8 general points of P2
Stephanie Fitchett, Brian Harbourne, Sandeep Holay
The Halphen cubics of order two
Thomas Bauer, Brian Harbourne, Joaquim Roé +1
Global aspects of the geometry of surfaces
Brian Harbourne