A characterization of secant varieties of Severi varieties among cubic hypersurfaces
published by Yewon Jeong
in 2020
and research's language is
English
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Abstract in English
It is shown that an irreducible cubic hypersurface with nonzero Hessian and smooth singular locus is the secant variety of a Severi variety if and only if its Lie algebra of infinitesimal linear automorphisms admits a nonzero prolongation.