Orbifold resolution by D-branes

Abstract We study topological properties of the D-brane resolution of three-dimensional orbifold singularities, C 3 /Λ , for finite abelian groups Λ. The D-brane vacuum moduli space is shown to fill out the backgroun space-time with Fayet-Iliopoulos parameters controlling the size of the blow-ups. This D-brane vacuum moduli space can be classically described by a gauged linear sigma model, which is shown to be non-generic in a manner that projects out non-geometric regions in its phase diagram, as anticipated from a number of perspectives.