We prove that, given integers m >= 3, r >= 1 and n >= 0, themoduli space of torsion free sheaves on Pm with Chern character (r, 0 ,..., 0,-n) that are trivial along a hyperplane D subset of P-m is isomorphic to the Quot scheme Quot (m)(A) (O-circle plus r, n) of 0-dimensional length n quotients of the free sheaf O (circle plus r) on A(m). The proof goes by comparing the two tangent-obstruction theories on these moduli spaces.
