2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/140035In continuation of our paper in Math. Ann. 333 we classify smooth complex projective threefolds X with -K_X big and nef but not ample and Picard number 2, whose anticanonical map is small. We assume also that the Mori contraction of X and of its flop are not both birational.40 pages, LaTeX2eAlgebraic Geometry14J45, 14J30, 14E05text