4 papers
Stacky Resolutions of Kleinian Singularities and Nakajima Quiver Varieties
Lukas Bertsch, Ruth Wye
We construct a class of noncommutative crepant resolutions of any Kleinian singularity as noncommutative sheaves of algebras over its crepant partial resolutions. We argue that suc…
Quiver Schemes for Nongeneric Stability and Cornering
Lukas Bertsch, Søren Gammelgaard, 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…
Euler characteristics of affine ADE Nakajima quiver varieties via collapsing fibers
Lukas Bertsch, Ãdám Gyenge, Balázs SzendrÅi
We prove a universal substitution formula that compares generating series of Euler characteristics of Nakajima quiver varieties associated with affine ADE diagrams at generic and a…
Kleinian singularities: some geometry, combinatorics and representation theory
Lukas Bertsch, Ãdám Gyenge, Balázs SzendrÅi
We review the relationship between discrete groups of symmetries of Euclidean three-space, constructions in algebraic geometry around Kleinian singularities including versions of H…