3 papers
math.AG2025
A Lie-theoretic generalization of some Hilbert schemes
Oscar Kivinen
We define several versions of a class of varieties attached to a complex reductive Lie algebra , generalizing the Hilbert scheme of points on the p…
math.AG2025
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…
math.AG2018
Unramified affine Springer fibers and isospectral Hilbert schemes
Oscar Kivinen
For any connected reductive group over , we revisit Goresky-Kottwitz-MacPherson's description of the torus equivariant Borel-Moore homology of affine Springer fiber…