A characterization of secant varieties of Severi varieties among cubic hypersurfaces
Algebraic Geometry
2021-02-23 v3
Abstract
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.
Keywords
Cite
@article{arxiv.2002.05566,
title = {A characterization of secant varieties of Severi varieties among cubic hypersurfaces},
author = {Baohua Fu and Yewon Jeong and Fyodor L. Zak},
journal= {arXiv preprint arXiv:2002.05566},
year = {2021}
}
Comments
17 pages. We give a new proof of Theorem 2.9 bypassing the imprecisely stated Lemma 2.12 in the previous version. The validity of the results of the paper is not affected