We 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.
- Ample cones
- Birational geometry
- Punctual Hilbert schemes of K3 surfaces
ASJC Scopus subject areas
- Geometry and Topology