Moving and Ample Cones of Holomorphic Symplectic Fourfolds
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- Hassett, B. & Tschinkel, Y. Geom. Funct. Anal. (2009) 19: 1065. doi:10.1007/s00039-009-0022-6
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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.