2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/125925In this note we describe very explicitly a rich family of mixed motives that generates Voevodsky's $DM^{eff}_{gm}{\mathbb{Q}}$ (as a triangulated category). They "should be" mixed since they have only one non-zero Betti cohomology group. Our method also allows to define a family of direct summands of the numerical motif of any smooth projective variety $P$. Modulo certain standard conjectures, this construction yields the Kunneth decomposition of the diagonal of $P$.New very explicit mixed (conjecturally) motives in Voevodsky's $DM$!Algebraic Geometry19E15, 14F40, 14F42, 14F25text