2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72518This is a revised version of the second half of my paper math.AG/9909021. We prove that there exists a positive integer $ν_{n}$ depending only on $n$ such that for every smooth projective $n$-fold of general type $X$ defined over complex numbers, $\mid mK_{X}\mid$ gives a birational rational map from $X$ into a projective space for every $m\geq ν_{n}$.35pages, no figure, expanded explanationComplex VariablesAlgebraic Geometry14C30text