中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
ISOTRIVIAL VMRT-STRUCTURES OF COMPLETE INTERSECTION TYPE

文献类型:期刊论文

作者Fu, Baohua1,2; Hwang, Jun-Muk3
刊名ASIAN JOURNAL OF MATHEMATICS
出版日期2018-04-01
卷号22期号:2页码:333-353
ISSN号1093-6106
关键词Equivalence problem minimal rational curve complete intersection
英文摘要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.
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
语种英语
出版者INT PRESS BOSTON, INC
WOS记录号WOS:000435437600011
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/30570]  
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
推荐引用方式
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.

入库方式: OAI收割

来源:数学与系统科学研究院

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