On the de Rham complex of mixed twistor D-modules
arXiv:1204.1331 · doi:10.1093/imrn/rns197
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.
18 pages