Local Duality and Polarized Hodge Modules

نویسندگان

  • Christian Schnell
  • C. Schnell
چکیده

We find a relationship between the graded quotients of a filtered holonomic D-module, their duals as coherent sheaves, 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 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. 2010 Mathematics Subject Classification: Primary 32C38; Secondary 14D07, 14B15.

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تاریخ انتشار 2012