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

preprint2016arXivOpen access

Abstract

We address the problem of classification of hyper-Kähler fourfolds with b2=23b_2=23. In particular we prove some special cases of the Conjecture of O'Grady about hyper-Kähler 44-folds numerically equivalent to the Hilbert scheme of two points on a K3K3 surface.

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