On subcanonical Gorenstein varieties and apolarity

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.

arXiv comment18 pages; AMS-LaTeX; minor changes. To appear in the Journal of London Mathematical Society

Cited by in corpus (1)

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