  Toroidal orbifolds and their resolutions are described within the framework
of (2,2) Gauged Linear Sigma Models (GLSMs). Our procedure describes two-tori
as hypersurfaces in (weighted) projective spaces. The description is chosen
such that the orbifold singularities correspond to the zeros of their
homogeneous coordinates. The individual orbifold singularities are resolved
using a GLSM guise of non-compact toric resolutions, i.e. replacing discrete
orbifold actions by Abelian worldsheet gaugings. Given that we employ the same
global coordinates for both the toroidal orbifold and its resolutions, our GLSM
formalism confirms the gluing procedure on the level of divisors discussed by
Lust et al. Using our global GLSM description we can study the moduli space of
such toroidal orbifolds as a whole. In particular, changes in topology can be
described as phase transitions of the underlying GLSM. Finally, we argue that
certain partially resolvable GLSMs, in which a certain number of fixed points
can never be resolved, might be useful for the study of mini-landscape orbifold
MSSMs.
