  Given a sheaf on a projective space P^n we define a sequence of canonical and
easily computable Chow complexes on the Grassmannians of planes in P^n,
generalizing the Beilinson monad on P^n. If the sheaf has dimension k, then the
Chow form of the associated k-cycle is the determinant of the Chow complex on
the Grassmannian of planes of codimension k+1. Using the theory of vector
bundles and the canonical nature of the complexes we are able to give explicit
determinantal and Pfaffian formulas for resultants in some cases where no
polynomial formulas were known. For example, the Horrocks-Mumford bundle gives
rise to a polynomial formula for the resultant of five homogeneous forms of
degree eight in five variables.
