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ISOTRIVIAL VMRT-STRUCTURES OF COMPLETE INTERSECTION TYPE
Fu, Baohua1,2; Hwang, Jun-Muk3
2018-04-01
Source PublicationASIAN JOURNAL OF MATHEMATICS
ISSN1093-6106
Volume22Issue:2Pages:333-353
AbstractThe family of varieties of minimal rational tangents on a quasi-homogeneous projective manifold is isotrivial. Conversely, are projective manifolds with isotrivial varieties of minimal rational tangents quasi-homogenous? We will show that this is not true in general, even when the projective manifold has Picard number 1. In fact, an isotrivial family of varieties of minimal rational tangents needs not be locally flat in differential geometric sense. This leads to the question for which projective variety Z, the Z-isotriviality of varieties of minimal rational tangents implies local flatness. Our main result verifies this for many cases of Z among complete intersections.
KeywordEquivalence problem minimal rational curve complete intersection
Language英语
Funding ProjectNational Natural Science Foundation of China[11621061] ; National Natural Science Foundation of China[11688101] ; National Researcher Program of NRF[2010-0020413]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000435437600011
PublisherINT PRESS BOSTON, INC
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/30571
Collection数学所
Affiliation1.Chinese Acad Sci, AMSS, Inst Math, 55 ZhongGuanCun East Rd, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China
3.Korea Inst Adv Study, Hoegiro 85, Seoul 02455, South Korea
Recommended Citation
GB/T 7714
Fu, Baohua,Hwang, Jun-Muk. ISOTRIVIAL VMRT-STRUCTURES OF COMPLETE INTERSECTION TYPE[J]. ASIAN JOURNAL OF MATHEMATICS,2018,22(2):333-353.
APA Fu, Baohua,&Hwang, Jun-Muk.(2018).ISOTRIVIAL VMRT-STRUCTURES OF COMPLETE INTERSECTION TYPE.ASIAN JOURNAL OF MATHEMATICS,22(2),333-353.
MLA Fu, Baohua,et al."ISOTRIVIAL VMRT-STRUCTURES OF COMPLETE INTERSECTION TYPE".ASIAN JOURNAL OF MATHEMATICS 22.2(2018):333-353.
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