R\'ealisations de Hodge des motifs de Voevodsky

Florence Lecomte; Nathalie Wach

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arXiv · 0911.5611

R\'ealisations de Hodge des motifs de Voevodsky

Florence Lecomte·Nathalie Wach

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Abstract

Over a subfield of the field of complex numbers, the Hodge realization of a geometrical motive is defined and represented as the cohomology of a mixed Hodge DG-complex in the sense of Deligne. Both filtrations are represented by truncation functors, on a Bondarko weight complex for the weight filtration and on the De Rham motivic complex for the Hodge one. The Deligne-Beilinson realization is also constructed. This preprint partially replaces the former "R\'ealisation des complexes motiviques de Voevodsky".

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Florence Lecomte, Nathalie Wach. 2009-11-30. R\'ealisations de Hodge des motifs de Voevodsky. https://arxiv.org/abs/0911.5611

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