2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62035In this note we establish a new Fujita-type effective bound for the base point freeness of adjoint line bundles on a compact complex projective manifold of complex dimension $n$. The bound we obtain (approximately) differs from the linear bound conjectured by Fujita only by a factor of the cube root of $n$. As an application, a new effective statement for pluricanonical embeddings is derived.13 pages, AMS-LaTeXAlgebraic Geometry14C20, 14F17, 14B05text