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A Characterization of Secant Varieties of Severi Varieties Among Cubic Hypersurfaces
Fu, Baohua1,2,3; Jeong, Yewon2; Zak, Fyodor L.4
2021-02-01
Source PublicationINTERNATIONAL MATHEMATICS RESEARCH NOTICES
ISSN1073-7928
Volume2021Issue:4Pages:2763-2782
AbstractIt 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.
DOI10.1093/imrn/rnaa223
Indexed BySCI
Language英语
Funding ProjectNational Natural Science Foundation of China[11771425] ; National Natural Science Foundation of China[11688101] ; Postdoctoral International Exchange Program of China[Y890172G21]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000630056600013
PublisherOXFORD UNIV PRESS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/58409
Collection中国科学院数学与系统科学研究院
Corresponding AuthorJeong, Yewon
Affiliation1.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
Recommended Citation
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.
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