2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58908Let $X$ be a complete normal variety, $B$ an effective $\mathbb{R}$-divisor on $X$, and $D$ a Cartier divisor on $X$. Assume that the pair $(X, B)$ is log terminal. We consider the problem whether $H^0(X, D) \ne 0$ and obtain some results in lower dimensions.13 pages, Theorem 5.2 (3) is deletedAlgebraic GeometryOn effective non-vanishing and base-point-freenesstext