2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60793We define and calculate the weighted multiplicities of non Gorenstein terminal singularities on threefolds and some quotient singularities. We improve freeness conditions on threefolds.23 pagesAlgebraic Geometry14C20;14J30Freeness of adjoint linear systems on threefolds with non Gorenstein Q-factorial terminal singularities or some quotient singularitiestext