A Characterization of Secant Varieties of Severi Varieties Among Cubic Hypersurfaces

被引：0
|
作者：
Fu, Baohua [1 ,2 ,3 ]
Jeong, Yewon [2 ]
Zak, Fyodor L. [4 ]
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, Hua Loo Keng Lab Math, Beijing 100190, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, Beijing 100190, Peoples R China
[3] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
[4] Russian Acad Sci, Cent Econ Math Inst, Nakhimovskii Av 47, Moscow 117418, Russia
来源：
INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2021年 / 2021卷 / 04期
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1093/imrn/rnaa223
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：2763 / 2782
页数：20
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