2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71478We classify Fano 3-folds with canonical Gorenstein singularities whose anticanonical linear system has no base points but does not give an embedding, and we classify anticanonically embedded Fano 3-folds with canonical Gorenstein singularities which are not intersections of quadrics. We also study the rationality questions for most of these varieties.57 pages. Final version; more detailed version is the previous oneAlgebraic Geometry%14J45, 14J30, 12J17, 14E08, 14E05text