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The De Rham, complex Hodge and p-adic Hodge realization functor on the derived category of relative motives over a field of characteristic zero

Abstract : 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.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03615090
Contributor : Johann Bouali Connect in order to contact the contributor
Submitted on : Thursday, April 7, 2022 - 4:39:21 PM
Last modification on : Sunday, April 10, 2022 - 3:29:52 AM

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  • HAL Id : hal-03615090, version 3

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Johann Bouali. The De Rham, complex Hodge and p-adic Hodge realization functor on the derived category of relative motives over a field of characteristic zero. 2022. ⟨hal-03615090v3⟩

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