Moving and ample cones of holomorphic symplectic fourfolds

Details Moving and ample cones of holomorphic symplectic fourfolds Moving and ample cones of holomorphic symplectic fourfolds

2007-10-01

arxiv.org/abs/0710.0390v1

Mathematics

Algebraic Geometry

Scientific paper

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.

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