  In our previous work [math-ph/9904020], we proved that the correlation
functions for simultaneous zeros of random generalized polynomials have
universal scaling limits and we gave explicit formulas for pair correlations in
codimensions 1 and 2. The purpose of this paper is to compute these universal
limits in all dimensions and codimensions. First, we use a supersymmetry method
to express the n-point correlations as Berezin integrals. Then we use the Wick
method to give a closed formula for the limit pair correlation function for the
point case in all dimensions.
