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Let  X  be a codimension 1 subvariety of dimension greater than 1 of a variety of minimal degree  Y . If  X  is subcanonical with Gorenstein canonical singularities admitting a crepant resolution, then  X  is arithmetically Gorenstein and we characterize such subvarieties  X  of  Y , via apolarity, as those whose apolar hypersurfaces are Fermat.

On subcanonical Gorenstein varieties and apolarity