Abstract
We establish a relationship between the graded quotients of a filtered holonomic {\mathcal{D}} -module, their duals as coherent sheaves, and the characteristic variety, in case the filtered \mathcal{D} -module underlies a polarized Hodge module on a smooth algebraic variety. The proof is based on M. Saito's result that the associated graded module is Cohen–Macaulay, and on local duality for the cotangent bundle. The result plays a role in the study of Néron models for families of intermediate Jacobians, recently constructed by the author.
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