2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/138686Working over C, we show that, apart possibly from a unique limit point, the possible values of multi-point Seshadri constant for general points on smooth projective surfaces form a discrete set. In addition to its theoretical interest, this result is of practical value, which we demonstrate by giving significantly improved explicit lower bounds for Seshadri constants on P^2 and new results about ample divisors on blow ups of P^2 at general points.14 pages, to appear in J. Pure App. AlgebraAlgebraic Geometry14C20; 14J99text