Hyper-Kähler fourfolds and Grassmann geometry
arXiv:0904.3974
Abstract
We construct a new 20-dimensional family of algebraic hyper-Kaehler fourfolds and prove that they are deformation-equivalent to the second punctual Hilbert scheme of a K3 surface of degree 22.
Typos corrected. Connection made with the work of Gritsenko, Hulek, and Sankaran on the Kodaira dimension of moduli spaces of hyper-Kaehler manifolds (arXiv:0802.2078)