On irreducible symplectic 4-folds numerically equivalent to (K3)^([2])
classification
🧮 math.AG
math.DG
keywords
ahlerequivalentfoldshyper-knumericallyaddresscasesclassification
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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.
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