2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/132226We show that the dual of the cone of divisors on a complete Q-factorial toric variety X whose stable base loci have dimension less than k is generated by curves on small modifications that move in families sweeping out the birational transforms of k-dimensional subvarieties of X. We give an example showing that it does not suffice to consider curves on X itself.10 pages, 1 figure. v2: minor expository changes. To appear in Math. ZAlgebraic Geometry14C20; 14M25text