The GIT moduli space of codimension four linear sections of the spinor tenfold is isomorphic to the GIT moduli space of Kummer surfaces, explicitly wP(2,3,5,6).
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On linear sections of the spinor tenfold II
The GIT moduli space of codimension four linear sections of the spinor tenfold is isomorphic to the GIT moduli space of Kummer surfaces, explicitly wP(2,3,5,6).