5 papers
Namikawa--Weyl groups of symplectic quotient singularities
Gwyn Bellamy, Gerhard Röhrle, Johannes Schmitt
We classify the Namikawa--Weyl groups associated to symplectic quotient singularities when is a symplectic reflection group. Our classification shows that every irreducib…
Two invariant subalgebras of rational Cherednik algebras
Gwyn Bellamy, Misha Feigin, Niall Hird
Originally motivated by connections to integrable systems, two natural subalgebras of the rational Cherednik algebra have been considered in the literature. The first is the subalg…
The Procesi bundle over the -fixed points of the Hilbert scheme of points in
Gwyn Bellamy, Raphaël Paegelow
For a finite subgroup of and , we study the fibers of the Procesi bundle over the -fixed points of the Hilbert scheme of points i…
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…