  We study the dependence of geometric quantization of the standard symplectic
torus on the choice of invariant polarization. Real and mixed polarizations are
interpreted as degenerate complex structures. Using a weak version of the
equations of covariant constancy, and the Weil-Brezin expansion to describe
distributional sections, we give a unified analytical description of the
quantization spaces for all nonnegative polarizations.
  The Blattner-Kostant-Sternberg (BKS) pairing maps between half-form corrected
quantization spaces for different polarizations are shown to be transitive and
related to an action of $Sp(2g,\R)$. Moreover, these maps are shown to be
unitary.
