RĂ©alisations des complexes motiviques de Voevodsky, by Florence Lecomte and Nathalie Wach

In this paper, we construct realizations of motivic complexes over a number field. The De Rham realization is represented by a motivic De Rham complex and has a Hodge filtration. The Betti and l-adic realizations are integrally defined. When restricted to geometrical motives, the realization functors are endowed with Bondarko's weight filtration and rationally agree with Huber's realizations.

Florence Lecomte <lecomte@math.unistra.fr>
Nathalie Wach <wach@math.unistra.fr>