2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63872We study the Hilbert scheme of Palatini threefolds X in P^5. We prove that such a scheme has an irreducible component containing X which is birational to the Grassmannian G(3,14) and we determine the exceptional locus of the birational map.To be published in Advances in GeometryAlgebraic Geometry14J30,14M07,14N25, 14N30text