128 citations · 414 across the 40 of their papers we have counts for
19 papers · 1 filter
Quot scheme of points on torus knot singularities
Yifeng Huang, Ruofan Jiang, Alexei Oblomkov
For , we show that the moduli space of -codimensional -submodules of is paved by affine cells, by proving that each Białyni…
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…
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…
Generic curves and non-coprime Catalans
Eugene Gorsky, Mikhail Mazin, Alexei Oblomkov
We compute the Poincaré polynomials of the compactified Jacobians for plane curve singularities with Puiseaux exponents , and relate them to the combinatorics of $q,t…