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Réalisation de Hodge des motifs de Voevodsky

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Abstract

Sur un sous-corps du corps des complexes, nous associons à un objet de la catégorie des motifs géométriques de Voevodsky un Z-complexe de Hodge mixte de Deligne (Inst Hautes études Sci Publ Math 44:5–77, [D74]). Les filtrations par le poids et de Hodge sont représentées par des foncteurs de troncature, d’un complexe des poids à la Bondarko (J K-Theory 6(3):387–504, [Bo10a]) pour la première et troncature du complexe de De Rham (Lecomte Wach, Manuscr Math 129:75–90, [LW09]) pour l’autre.

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  1. Institut de Recherche en Mathématique Avancée, U.M.R. 7501, C.N.R.S. et Université de Strasbourg, 7 rue René Descartes, 67084, Strasbourg Cedex, France

    Florence Lecomte & Nathalie Wach

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  1. Florence Lecomte
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  2. Nathalie Wach
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Correspondence to Nathalie Wach.

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Lecomte, F., Wach, N. Réalisation de Hodge des motifs de Voevodsky. manuscripta math. 141, 663–697 (2013). https://doi.org/10.1007/s00229-012-0587-5

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