The aim of the article is to show that every mixed triangulated motive in the sense of V. Voevodsky determines a canonical cycle module in the sense of M. Rost. Our method consists of interpreting geometrically the axioms of cycle modules in a category of pro-motives called "generic motives". It is general enough to show at the same time that every cohomological theory which induces a realization of triangulated mixed motives defines a canonical cycle module. This is in particular applicable to De Rham and rigid cohomology.
Cite this article
Frédéric Déglise, Motifs Génériques. Rend. Sem. Mat. Univ. Padova 119 (2008), pp. 173–244DOI 10.4171/RSMUP/119-5