2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62647Let P be a d-dimensional lattice polytope. We show that there exists a natural number c_d, only depending on d, such that the multiples cP have a unimodular cover for every natural number c >= c_d. Actually, a subexponential upper bound for c_d is provided, together with an analogous result for unimodular covers of rational cones.13 pages, uses pstricks and mathptm The revised version has been thoroughly rewrittenCombinatorics52B20, 52C07text