On irreducible symplectic 4-folds numerically equivalent to $(K3)^{[2]}$

Grzegorz Kapustka

On irreducible symplectic 4-folds numerically equivalent to $(K3)^{[2]}$

Algebraic Geometry 2016-09-15 v4 Differential Geometry

Authors: Grzegorz Kapustka

Abstract

We address the problem of classification of hyper-K\"ahler fourfolds with $b_2=23$ . In particular we prove some special cases of the Conjecture of O'Grady about hyper-K\"ahler $4$ -folds numerically equivalent to the Hilbert scheme of two points on a $K3$ surface.

Keywords

hyper-Kähler fourfold irreducible symplectic 4-fold numerically equivalent Hilbert scheme K3 surface

Cite

@article{arxiv.1004.3177,
  title  = {On irreducible symplectic 4-folds numerically equivalent to $(K3)^{[2]}$},
  author = {Grzegorz Kapustka},
  journal= {arXiv preprint arXiv:1004.3177},
  year   = {2016}
}

Comments

22 pages

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