Introduction to Hodge Modules and Examples
نویسنده
چکیده
2) MHM(pt) is the category of graded polarizable rational mixed Hodge structures, such that rat is the forgetful functor 3) M ∈MHM(X) admits a weight filtration W • satisfying -morphisms preserve W • strictly -Gr k M is semisimple -W • on pt is the usual weight filtration 4) MHM(X) has a duality functor D For a morphism s : X → Y DMHM(X) has functors f∗, f!, f∗, f , that are sent by rat and DmodX to the usual such functors. 5) f!, f ∗ don’t increase weights f , f∗ don’t decrease weight
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