2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/120190The aim of this paper is to study compact 5--manifolds which carry a positive Sasakian structure. Strong restrictions are derived for the integral homology groups. In some cases, all positive Sasakian structures are classified. A key step is to study log Del Pezzo surfaces whose boundary divisor contains positive genus curves.Differential GeometryAlgebraic Geometry53C25 (primary) 14J26, 32Q20, 57S15 (secondary)text