On the de Rham complex of mixed twistor D-modules
Algebraic Geometry
2012-10-09 v1 Complex Variables
Abstract
Given a complex manifold S, we introduce for each complex manifold X a t-structure on the bounded derived category of C-constructible complexes of O_S-modules on X x S. We prove that the de Rham complex of a holonomic D_{XxS/S}-module which is O_S-flat as well as its dual object is perverse relatively to this t-structure. This result applies to mixed twistor D-modules.
Keywords
Cite
@article{arxiv.1204.1331,
title = {On the de Rham complex of mixed twistor D-modules},
author = {Teresa Monteiro Fernandes and Claude Sabbah},
journal= {arXiv preprint arXiv:1204.1331},
year = {2012}
}
Comments
18 pages