# 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}
}
• C. Schnell
• Published 4 May 2010
• Mathematics
• Mathematische Annalen
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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