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arXiv:0904.3974 [math.AG]AbstractReferencesReviewsResources

Hyper-Kähler fourfolds and Grassmann geometry

Olivier Debarre, Claire Voisin

Published 2009-04-25, updated 2009-05-21Version 2

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.

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)
Categories: math.AG
Subjects: 14J35, 14M15, 14J70
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