6 papers · 1 filter
Birational geometry of quiver varieties and other GIT quotients
Gwyn Bellamy, Alastair Craw, Travis Schedler
We prove that all projective crepant resolutions of Nakajima quiver varieties satisfying natural conditions are also Nakajima quiver varieties. More generally, we classify the smal…
Singularities in Calogero--Moser Varieties
Gwyn Bellamy, Ruslan Maksimau, Travis Schedler
In this article we describe completely the singularities appearing in Calogero--Moser varieties associated (at any parameter) to the wreath product symplectic reflection groups. We…
Nonprojective crepant resolutions of quiver varieties
Daniel Kaplan, Travis Schedler
In this paper, we construct a large class of examples of proper, nonprojective crepant resolutions of singularities for Nakajima quiver varieties. These include four and six dimens…
Crepant resolutions of stratified varieties via gluing
Daniel Kaplan, Travis Schedler
Let be a variety with a stratification into smooth locally closed subvarieties such that is locally a product along each stratum (e.g., a symplectic singulari…
Symplectic resolutions of quiver varieties
Gwyn Bellamy, Travis Schedler
In this article, we consider Nakajima quiver varieties from the point of view of symplectic algebraic geometry. We prove that they are all symplectic singularities in the sense of…
The semi-invariant ring as the Cox ring of a GIT quotient
Gwyn Bellamy, Alastair Craw, Travis Schedler
We study GIT quotients whose linearisation map defines an isomorphism between the group of characters of and the Picard group of modulo torsion. O…