  Let X be a Hermitian complex space of pure dimension with only isolated
singularities and p: M -> X a resolution of singularities. Let D be a
relatively compact domain in X with no singularities in the boundary,
D^*=D-Sing(X) the regular part of D and D'=p^{-1}(D) the preimage of D under p.
We relate L2-properties of the dbar and the dbar-Neumann operator on D^* to
properties of the corresponding operators on D' (where the situation is
classically well understood). Outside some middle degrees, there are compact
solution operators for the dbar-equation on D^* exactly if there are such
operators on the resolution D', and the dbar-Neumann operator is compact on D^*
exactly if it is compact on D'.
