Higher-dimensional analogues of K3 surfaces

zbMath1255.14024arXiv1005.3131MaRDI QIDQ2918463

Kieran G. O'Grady

Publication date: 6 October 2012

Full work available at URL: https://arxiv.org/abs/1005.3131

zbMATH Keywords

\(K3\) surfacesHilbert schemeshyperkähler manifoldsBeauville-Bogomolov quadratic formdouble EPW-sextics

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Surfaces and higher-dimensional varieties (14Jxx) Compact Kähler manifolds: generalizations, classification (32J27) Complex manifolds (32Qxx) Deformations of special (e.g., CR) structures (32G07)

Related Items (7)

The Hodge diamond of O’Grady’s six-dimensional example ⋮ Geometric description of \(\langle 2\rangle \)-polarised Hilbert squares of generic \(K3\) surfaces ⋮ On irreducible symplectic varieties of \(\operatorname{K3}^{[n}\)-type in positive characteristic] ⋮ Numerical characterization of complex torus quotients ⋮ Curve classes on irreducible holomorphic symplectic varieties ⋮ Negative Rational Curves and Their Deformations on Hyperkähler Manifolds ⋮ A survey of Torelli and monodromy results for holomorphic-symplectic varieties

This page was built for publication: Higher-dimensional analogues of K3 surfaces