2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/147085The main purpose of this article is to prove that the family of all Fano threefolds with log-terminal singularities with bounded index is bounded.16 pages, LaTeX v2.09, abstract correctedAlgebraic GeometryBoundedness theorem for Fano log-threefoldstext