# Residues and filtered D-modules

@article{Schnell2010ResiduesAF, title={Residues and filtered D-modules}, author={Christian Schnell}, journal={Mathematische Annalen}, year={2010}, volume={354}, pages={727-763} }

For an embedding of sufficiently high degree of a smooth projective variety X into projective space, we use residues to define a filtered holonomic $${\mathcal{D}}$$ -module $${(\mathcal{M}, F)}$$ 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 $${F_k{\mathcal{M}}}$$ , such…

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