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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