On the de Rham complex of mixed twistor D-modules

Mathematics – Algebraic Geometry

Scientific paper

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18 pages

Scientific paper

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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