TORIC GEOMETRY AND GROTHENDIECK RESIDUES

We consider a system of n algebraic equations P-1 = ... = P-n = 0 in the torus (C \ 0)(n). It is assumed that the Newton polyhedra of the equations are in a sufficiently general position with respect to one another. Let omega be any rational n-form which is regular on (C \ 0)(n) outside the hypersurface P-1 ... P-n = 0. Formerly we have announced an explicit formula for the sum of the Grothendieck residues of the form omega at all roots of the system of equations. In the present paper this formula is proved.