English

Local duality and mixed Hodge modules

Algebraic Geometry 2009-04-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0904.3480,
  title  = {Local duality and mixed Hodge modules},
  author = {Christian Schnell},
  journal= {arXiv preprint arXiv:0904.3480},
  year   = {2009}
}

Comments

16 pages

R2 v1 2026-06-21T12:54:02.222Z