5 papers · 1 filter
Polytopes of Effective Boundary Expressions of Divisors on
Ian Cavey, Deniz Genlik
For a divisor on , we introduce the polytope of its effective boundary expressions. We establish structural properties of these polytopes under the forgetful ma…
Wall-crossing for Hilbert schemes
Ian Cavey, Eugene Gorsky, Alexei Oblomkov +1
The goal of the minimal model program for the Hilbert scheme of points on a surface aims is to describe the (stable) base loci of all divisors, their associated birational models,…
Newton-Okounkov bodies for nested Hilbert schemes
Ian Cavey, Eugene Gorsky, Alexei Oblomkov +1
We study sections of line bundles on the nested Hilbert scheme of points on the affine plane. We describe the spaces of sections in terms of certain ideals introduced by Haiman, an…
Verlinde series for Hirzebruch surfaces
Ian Cavey
We give an explicit formula for Euler characteristics of line bundles on the Hilbert scheme of points on . Combined with structural results of Ellin…
Effective divisors and Newton-Okounkov bodies of Hilbert schemes of points on toric surfaces
Ian Cavey
We compute the (unbounded) Newton-Okounkov body of the Hilbert scheme of points on . We obtain an upper bound for the Newton-Okounkov body of the Hilbert scheme of poi…