On irreducible symplectic 4-folds numerically equivalent to (K3)[2]
Abstract
We address the problem of classification of hyper-K\"ahler fourfolds with b2=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.
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