2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/149894Let $X$ be a Fano manifold which is the zero scheme of a general global section $s$ in an irreducible homogenous vector bundle over a Grassmannian. We prove that the restriction of the Plücker embedding embeds $X$ projectively normal, and that every small deformation of $X$ comes from a deformation of the section $s$. These results are strengthened in the case of Fano 4-folds.8 pages, AmS-TeX 2.1Algebraic Geometrytext