On minimal models of projective Hyperkaehler manifolds

Abstract

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.

The main result of this paper is contained in http://arxiv.org/abs/1105.3410 as Proposition 6.4

References in corpus (1)

• On the log minimal model program for irreducible symplectic varieties