Existence of a unique Coble type hypersurface is established for the general member of 20-dimensional locally complete families of polarized hyperkähler fourfolds of K3^[2]-type with squares 4 or 6 and divisibility 1.
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Coble type hypersurfaces and hyperk\"ahler fourfolds
Existence of a unique Coble type hypersurface is established for the general member of 20-dimensional locally complete families of polarized hyperkähler fourfolds of K3^[2]-type with squares 4 or 6 and divisibility 1.