2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/150106We answer a question posed by S. Kleiman concerning flatness of the family of complete quadrics. We also show that any flat family of hypersurfaces on Grassmann varieties induces a flat family of intersections with the corresponding flag variety.13 pages, LaTeXAlgebraic GeometryFlatness of families induced by hypersurfaces on flag varietiestext