ON TORSION IN HOMOLOGY OF SINGULAR TORIC VARIETIES
Let $X$ be a toric variety. Rationally
Borel-Moore homology of $X$ is isomorphic to the homology of the
Koszul complex $A^T_*(X)\otimes \Lambda^\x M$, where $A^T_*(X)$ is
the equivariant Chow group and $M$ is the character group of $T$.
Moreover, the same holds for coefficients which are
the integers with certain primes inverted.