2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64651We prove a Kawamata-Viehweg vanishing theorem on a normal compact Kahler space X: if L is a nef line bundle with numerical dimension at least equal to 2, then the q-th cohomology group of K_X+L vanishes for q at least equal to the dimension of X minus 1. As an application, a special case of the abundance conjecture for minimal Kahler threefolds is proven: if X is a minimal Kahler threefold (in the usual sense that K_X is nef), then the Kodaira dimension kappa(X) is nonnegative.36 pages, Plain-TeXAlgebraic GeometryComplex Variables14C30, 14F17, 14J40, 32C17, 32J25text