2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65860If k is a field of characteristic 0, we prove that the motivic Poincare serie and the motivic Zeta functions associated to a k[[t]]-variety, flat and purely dimensional, are rational.Algebraic GeometryRationalite des series de Poincare et des fonctions Zeta motiviquestext