2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78313For smooth projective 3-folds of general type, we prove that the relative canonical stability $μ_s(3)\leq 8$. This is induced from our improved result of Kollár: the m-canonical map of a smooth projective 3-fold of general type is birational whenever $m\geq 5k+6$, provided $P_k(X)\geq 2$. The Q-divisor method is intensively developed to prove our results.14 pages, ALatex, the final version, accepted for publication by Journal of Pure and Applied AlgebraAlgebraic Geometry14E05text