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- W3100255170 abstract "Beauville and Donagi proved in 1985 that the primitive middle cohomology of a smooth complex cubic fourfold and the primitive second cohomology of its variety of lines, a smooth hyperkahler fourfold, are isomorphic as polarized integral Hodge structures. We prove analogous statements for smooth complex Gushel-Mukai varieties of dimension 4 (resp. 6), i.e., smooth dimensionally transverse intersections of the cone over the Grassmannian Gr(2,5), a quadric, and two hyperplanes (resp. of the cone over Gr(2,5) and a quadric). The associated hyperkahler fourfold is in both cases a smooth double cover of a hypersurface in ${bf P}^5$ called an EPW sextic." @default.
- W3100255170 created "2020-11-23" @default.
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- W3100255170 date "2019-12-01" @default.
- W3100255170 modified "2023-10-03" @default.
- W3100255170 title "Gushel–Mukai varieties: Linear spaces and periods" @default.
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- W3100255170 doi "https://doi.org/10.1215/21562261-2019-0030" @default.
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