2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70228Let A be an ample line bundle on a projective toric variety X of dimension n. We show that if l>=n-1+p, then A^l satisfies the property N_p. Applying similar methods, we obtain a combinatorial theorem: For a given lattice polytope P we give a criterion for an integer m to guarantee that mP is normal.7 pagesAlgebraic GeometryCombinatorics14M25 (Primary) 13D02,14C20,52B20 (Secondary)text