  We study the relation between a heterotic T^6/Z6 orbifold model and a
compactification on a smooth Voisin-Borcea Calabi-Yau three-fold with
non-trivial line bundles. This orbifold can be seen as a Z2 quotient of T^4/Z3
x T^2. We consider a two-step resolution, whose intermediate step is (K3 x
T^2)/Z2. This allows us to identify the massless twisted states which
correspond to the geometric Kaehler and complex structure moduli. We work out
the match of the two models when non-zero expectation values are given to all
twisted geometric moduli. We find that even though the orbifold gauge group
contains an SO(10) factor, a possible GUT group, the subgroup after higgsing
does not even include the standard model gauge group. Moreover, after higgsing,
the massless spectrum is non-chiral under the surviving gauge group.
