  In ${\bf C}^{n+1}$, one can show that the residue of $n+1$ homogeneous forms
of the same degree equals the integral of a certain $(n,n)$ form over ${\bf
P}^n$. Furthermore, the Jacobian of the forms has nonzero residue equal to a
certain intersection number. In this paper, we generalize these results to an
arbitrary projective toric variety. In particular, we define a toric version of
the Jacobian and show that it has the correct properties, and we give various
integral formulas for the toric residue. We also review some commutative
algebra results of Batyrev and Danilov and discuss the relation between the
trace map and the Dolbeault isomorphism.
