2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/128406Let X be the blow-up of the three dimensional complex projective space along r general points of a smooth elliptic quartic curve B of P^3 and let L be any line bundle of X. The aim of this paper is to provide an explicit algorithm for determining the dimension of H^0(X,L).19 pages, 1 figure, LaTeXAlgebraic Geometry14C20Linear systems on a class of anticanonical rational threefoldstext