Søren Gammelgaard

activity

20192025

collaborators

5 papers

math.AG2025

Quiver Schemes for Nongeneric Stability and Cornering

Lukas Bertsch, Søren Gammelgaard

We use the Le Bruyn--Procesi theorem to prove several results on quiver schemes for nongeneric stability conditions: We show that the stability-zero finite-type Nakajima quiver sch…

math.AG2024

Noncommutative projective partial resolutions and quiver varieties

Søren Gammelgaard, Ádám Gyenge

Let $Γ \in SL_{2} (C)$ be a finite subgroup. We introduce a class of projective noncommutative surfaces $P_{I}^{2}$ , indexed by a set of irreducible $Γ$ -represen…

math.AG2023

Moduli spaces of framed sheaves on compactified Kleinian singularities

Søren Gammelgaard

Consider a Kleinian singularity $C^{2} /Γ$ , where $Γ$ is a finite subgroup of $S L_{2} (C)$ . In this paper, we construct moduli spaces of framed sheaves on a project…

math.AG2023

Quiver Varieties and Framed Sheaves on Compactified Kleinian Singularities

Søren Gammelgaard

Consider a Kleinian singularity $C^{2} /Γ$ , where $Γ$ is a finite subgroup of $S L_{2} (C)$ . In this paper, we introduce a natural stack compactifying the singularit…

math.AG2019

Punctual Hilbert schemes for Kleinian singularities as quiver varieties

Alastair Craw, Søren Gammelgaard, Ádám Gyenge +1

For a finite subgroup $Γ \subset SL (2, C)$ and $n \geq 1$ , we construct the (reduced scheme underlying the) Hilbert scheme of $n$ points on the Kleinian singularity…