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arXiv · 1004.3177

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

Grzegorz Kapustka
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Abstract

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

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Grzegorz Kapustka. 2016-09-14. On irreducible symplectic 4-folds numerically equivalent to $(K3)^{[2]}$. https://arxiv.org/abs/1004.3177

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