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ISOTRIVIAL VMRT-STRUCTURES OF COMPLETE INTERSECTION TYPE
Fu, Baohua1,2; Hwang, Jun-Muk3
2018-04-01
发表期刊ASIAN JOURNAL OF MATHEMATICS
ISSN1093-6106
卷号22期号:2页码:333-353
摘要The 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.
关键词Equivalence problem minimal rational curve complete intersection
语种英语
资助项目National Natural Science Foundation of China[11621061] ; National Natural Science Foundation of China[11688101] ; National Researcher Program of NRF[2010-0020413]
WOS研究方向Mathematics
WOS类目Mathematics, Applied ; Mathematics
WOS记录号WOS:000435437600011
出版者INT PRESS BOSTON, INC
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/30571
专题数学所
通讯作者Fu, Baohua
作者单位1.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
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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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