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On subcanonical Gorenstein varieties and apolarity
Published 13 Dec 2011 in math.AG and math.AC | (1112.2897v2)
Abstract: Let $X$ be a codimension 1 subvariety of dimension $>1$ 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 characterise such subvarieties $X$ of $Y$ via apolarity as those whose apolar hypersurfaces are Fermat.
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