New examples of rational Gushel-Mukai fourfolds
arXiv:1910.12838 · doi:10.1007/s00209-020-02498-5
Abstract
We construct new examples of rational Gushel-Mukai fourfolds, giving more evidence for the analog of the Kuznetsov Conjecture for cubic fourfolds: a Gushel--Mukai fourfold is rational if and only if it admits an associated K3 surface.
Minor changes. Exposition improved. To appear in Mathematische Zeitschrift