Grzegorz Kapustka
Abstract
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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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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.
Key concepts: Symplectic geometry, Mathematics, Hilbert scheme, K3 surface, Conjecture, Pure mathematics, Scheme (mathematics), Mathematical analysis