2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77749We prove that the Veronese embedding of P^n of degree d with n\ge 2, d\ge 3 does not satisfy property N_p (according to Green and Lazarsfeld) if p\ge 3d-2. We conjecture that the converse holds. This is true for n=2 and for n=d=3.Tex, 10 pages, revised version as accepted in Compositio MathAlgebraic Geometry14M20; 14F17text