  In most cases where it had been shown to exist the derived McKay
correspondence D(Y) --> D^G(C^n) can be written as a Fourier-Mukai transform
which sends point sheaves of the crepant resolution Y to pure sheaves in
D^G(C^n). We give a sufficient condition for an object of D^G(Y x C^n) to be
the defining object of such a transform. We use it to construct the first
example of the derived McKay correspondence for a non-projective crepant
resolution of C^3/G. Along the way we extract some more geometric sense out of
the Intersection Theorem and learn to explicitly compute theta-stable families
of G-constellations and their direct transforms.

Algebraic Geometry