The De Rham, complex Hodge and p-adic Hodge realization functor on the derived category of relative motives over a field of characteristic zero
Résumé
We introduce the categories of geometric complex mixed Hodge modules on algebraic varieties over a subfield k ⊂ C, and for a prime number p, the categories of p-adic mixed Hodge modules on algebraic varieties over a subfield k ⊂ Cp. We then give a complex Hodge realization functor on the derived category of relative motives over k ⊂ C and a p-adic Hodge realization functor on the derived category of relative motives over k ⊂ Cp.
Domaines
Mathématiques [math]| Origine | Fichiers produits par l'(les) auteur(s) |
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