English

On minimal models of projective Hyperkaehler manifolds

Algebraic Geometry 2015-03-24 v2

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.

Keywords

Cite

@article{arxiv.1503.05115,
  title  = {On minimal models of projective Hyperkaehler manifolds},
  author = {Antonio Rapagnetta},
  journal= {arXiv preprint arXiv:1503.05115},
  year   = {2015}
}

Comments

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

R2 v1 2026-06-22T08:55:25.069Z