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arXiv · 1204.1331

On the de Rham complex of mixed twistor D-modules

Teresa Monteiro Fernandes·Claude Sabbah
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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.

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Teresa Monteiro Fernandes, Claude Sabbah. 2012-04-05. On the de Rham complex of mixed twistor D-modules. https://doi.org/10.1093/imrn%2Frns197

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