Mixed Hodge modules and mixed twistor modules

Abstract

We explain some fundamental differences between the theories of mixed Hodge modules and mixed twistor modules (including the difference in weight system on the nearby cycle functor) which do not seem to be clarified explicitly in the literature.

14 pages, 2.6 and 2.9 are modified

References in corpus (5)

• Asymptotic behaviour of tame harmonic bundles and an application to pure twistor $D$-modules
• Polarizable twistor D-modules
• A young person's guide to mixed Hodge modules
• Hodge theory and unitary representations of reductive Lie groups
• Twistor deformation of rank one local systems