We study topological properties of the D-brane resolution of three-dim
ensional orbifold singularities, C-3/Gamma, for finite abelian groups
Gamma. The D-brane vacuum moduli space is shown to fill out the backgr
ound space-time with Fayet-lliopoulos parameters controlling the size
of the blow-ups. This D-brane vacuum moduli space can be classically d
escribed by a gauged linear sigma model, which is shown to be non-gene
ric in a manner that projects out non-geometric regions in its phase d
iagram, as anticipated from a number of perspectives. (C) 1997 Publish
ed by Elsevier Science B.V.