A Characterization of Secant Varieties of Severi Varieties Among Cubic Hypersurfaces

doi:10.1093/imrn/rnaa223

	A Characterization of Secant Varieties of Severi Varieties Among Cubic Hypersurfaces
	Fu, Baohua 2,3,4; Jeong, Yewon 3; Zak, Fyodor L.1
刊名	INTERNATIONAL MATHEMATICS RESEARCH NOTICES
	2021-02-01
卷号	2021 期号:4 页码:2763-2782
ISSN号	1073-7928
DOI	10.1093/imrn/rnaa223
英文摘要	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.
资助项目	National Natural Science Foundation of China[11771425] ; National Natural Science Foundation of China[11688101] ; Postdoctoral International Exchange Program of China[Y890172G21]
WOS研究方向	Mathematics
语种	英语
出版者	OXFORD UNIV PRESS
WOS记录号	WOS:000630056600013
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/58408]
专题	中国科学院数学与系统科学研究院
通讯作者	Jeong, Yewon
作者单位	1.Russian Acad Sci, Cent Econ Math Inst, Nakhimovskii Av 47, Moscow 117418, Russia 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, Beijing 100190, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Hua Loo Keng Lab Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Fu, Baohua,Jeong, Yewon,Zak, Fyodor L.. A Characterization of Secant Varieties of Severi Varieties Among Cubic Hypersurfaces[J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES,2021,2021(4):2763-2782.
APA	Fu, Baohua,Jeong, Yewon,&Zak, Fyodor L..(2021).A Characterization of Secant Varieties of Severi Varieties Among Cubic Hypersurfaces.INTERNATIONAL MATHEMATICS RESEARCH NOTICES,2021(4),2763-2782.
MLA	Fu, Baohua,et al."A Characterization of Secant Varieties of Severi Varieties Among Cubic Hypersurfaces".INTERNATIONAL MATHEMATICS RESEARCH NOTICES 2021.4(2021):2763-2782.