2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/140538Let $V$ be a complex nonsingular projective 3-fold of general type with $χ(ω_V)\geq 0$ (resp. $>0$). We prove that the m-canonical map $Φ_{|mK_V|}$ is birational onto its image for all $m\ge 14$ (resp. $\geq 8$). Known examples show that the lower bound $r_3=14$ (resp. $=8$) is optimal.20 pages, to appear in "Communications in Analysis and Geometry"Algebraic Geometrytext