9 citations · 9 across the 2 of their papers we have counts for
6 papers · 1 filter
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…
Symplectic involutions of type and Kummer type manifolds
Ljudmila Kamenova, Giovanni Mongardi, Alexei Oblomkov
In this paper we describe the fixed locus of a symplectic involution on a hyperkähler manifold of type or of Kummer type. We prove that the fixed locus consists of…
Discriminants and motivic integration
Oscar Kivinen, Alexei Oblomkov, Dimitri Wyss
We study invariants of a plane cuve singularity coming from motivic integration on symmetric powers of a formal deformation of . We show that a natural discriminant inte…
Fixed loci of symplectic automorphisms of and -Kummer type manifolds
Ljudmila Kamenova, Giovanni Mongardi, Alexei Oblomkov
The aim of this paper is to give an explicit description of the fixed loci of symplectic automorphisms for certain hyperkahler manifolds, namely for Hilbert schemes on K3 surfaces…
The affine Springer fiber-sheaf correspondence
Eugene Gorsky, Oscar Kivinen, Alexei Oblomkov
Given a semisimple element in the loop Lie algebra of a reductive group, we construct a quasi-coherent sheaf on a partial resolution of the trigonometric commuting variety of the L…