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arXiv · 1112.2897

On subcanonical Gorenstein varieties and apolarity

Pietro De Poi·Francesco Zucconi
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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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Pietro De Poi, Francesco Zucconi. 2012-10-10. On subcanonical Gorenstein varieties and apolarity. https://doi.org/10.1112/jlms%2Fjds072

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