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.

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Algebraic Geometry, 14J35; 14E30; 32J27; 53C26

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http://salesiana.dossiersoluciones.com/handle/123456789/139148

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0710.0390
 http://arxiv.org/abs/0710.0390

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arXiv