On minimal models of projective Hyperkaehler manifolds
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hyperkaehlerprojectivemanifoldmanifoldsminimaladmitbirationalconsequence
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Any minimal model of a projective Hyperkaehler manifold is a projective Hyperkaehler manifold. As a consequence, moduli spaces of sheaves on a k3 that don't admit a symplectic resolution are not birational to Hyperkaehler manifolds.
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