Description
For a finite subgroup G of SL(n,C), a moduli space of G-constellations is a generalized notion of the G-Hilbert scheme, and it is expected that every (projective) crepant resolution X of C^n/G is obtained as such a moduli space. In the talk I will construct an explicit morphism from the resolution X to a moduli space for abelian G and discuss when it becomes an isomorphism.