ISOTRIVIAL VMRT-STRUCTURES OF COMPLETE INTERSECTION TYPE | |
Fu, Baohua1,2; Hwang, Jun-Muk3 | |
2018-04-01 | |
发表期刊 | ASIAN JOURNAL OF MATHEMATICS |
ISSN | 1093-6106 |
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 |
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. |
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