Hyper-Kähler fourfolds and Grassmann geometry

Mathematics – Algebraic Geometry

Scientific paper

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Typos corrected. Connection made with the work of Gritsenko, Hulek, and Sankaran on the Kodaira dimension of moduli spaces of

Scientific paper

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.

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