2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/107780We study smoothings of Fano threefolds. We prove that the Picard number remains constant in the case of terminal Gorenstein singularities.6 pages, LaTeX2eAlgebraic Geometry14J30; 14E30Terminal Fano threefolds and their smoothingstext