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
DE POI, Pietro;ZUCCONI, Francesco
2013-01-01
Abstract
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.File in questo prodotto:
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J. London Math. Soc.-2013-De Poi-819-36.pdf
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