, Volume 19, Issue 4, pp 1065-1080
Date: 22 Oct 2009

Moving and Ample Cones of Holomorphic Symplectic Fourfolds

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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.