2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/139148We analyze the ample and moving cones of holomorphic symplectic manifolds, in light of recent advances in the minimal model program. As an application, we establish a numerical criterion for ampleness of divisors on fourfolds deformation-equivalent to punctual Hilbert schemes of K3 surfaces.Algebraic Geometry14J35; 14E30; 32J27; 53C26text