2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/164930Following ideas of Bondarko, we construct a DG category whose homotopy category is equivalent to the full subcategory of motives over a base-scheme $S$ generated by the motives of smooth projective $S$-schemes, assuming that $S$ is itself smooth over a perfect field.65 pagesAlgebraic GeometryAlgebraic Topology14C25, 19E15 (Primary) 19E08, 14F42, 55P42 (Secondary)Smooth motivestext