  For an embedding of sufficiently high degree of a smooth projective variety X
into projective space, we use residues to define a filtered holonomic D-module
(M, F) on the dual projective space. This gives a concrete description of the
intermediate extension to a Hodge module on P of the variation of Hodge
structure on the middle-dimensional cohomology of the hyperplane sections of X.
We also establish many results about the sheaves F_k M, such as positivity,
vanishing theorems, or reflexivity.
