Local duality and mixed Hodge modules

Details Local duality and mixed Hodge modules Local duality and mixed Hodge modules

2009-04-22

arxiv.org/abs/0904.3480v1

Mathematics

Algebraic Geometry

16 pages

Scientific paper

We establish a relationship between the graded quotients of a filtered holonomic D-module, their sheaf-theoretic duals, and the characteristic variety, in case the filtered D-module underlies a polarized Hodge module on a smooth algebraic variety. The proof is based on Saito's result that the associated graded module is Cohen-Macaulay, and on local duality on the cotangent bundle.

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