Mixed Hodge module
In mathematics, mixed Hodge modules are the culmination of Hodge theory, mixed Hodge structures, intersection cohomology, and the decomposition theorem yielding a coherent framework for discussing variations of degenerating mixed Hodge structures through the six functor formalism. Essentially, these objects are a pair of a filtered D-module ( M , F ∙ ) {\displaystyle (M,F^{\bullet })} together with a perverse sheaf F {\displaystyle {\mathcal {F}}} such that the functor from the Riemann–Hilbert correspondence sends ( M , F ∙ ) {\displaystyle (M,F^{\bullet })} to F {\displaystyle {\mathcal {F}}} .