Residues and filtered D-modules
نویسندگان
چکیده
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 FkM, such as positivity, vanishing theorems, and reflexivity. Mathematics Subject Classification (1991) 14D07 · 32C38 · 14F10
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