Hyper-K\"ahler fourfolds and Grassmann geometry
Algebraic Geometry
2009-05-21 v2
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.
Keywords
Cite
@article{arxiv.0904.3974,
title = {Hyper-K\"ahler fourfolds and Grassmann geometry},
author = {Olivier Debarre and Claire Voisin},
journal= {arXiv preprint arXiv:0904.3974},
year = {2009}
}
Comments
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)