53 citations · 143 across the 33 of their papers we have counts for
16 papers · 1 filter
Crepant partial resolutions of the nilpotent cone via Hamiltonian reduction
Gwyn Bellamy, Tom Gannon
We show that the nilpotent cone associated to a simply connected semisimple algebraic group, together with all its crepant projective partial resolutions, can be constructed as Ham…
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…
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. Our…
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 in…
Coulomb Branches have symplectic singularities
Gwyn Bellamy
We show that Coulomb branches for -dimensional supersymmetric gauge theories have symplectic singularities. This confirms a conjecture of Braverman-Finkelberg-Na…
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…