Fano manifolds containing a negative divisor isomorphic to a rational homogeneous space of Picard number one

doi:10.1142/S0129167X20500664

CSpace

	Fano manifolds containing a negative divisor isomorphic to a rational homogeneous space of Picard number one
	Liu, Jie
	2020-08-01
发表期刊	INTERNATIONAL JOURNAL OF MATHEMATICS
ISSN	0129-167X
卷号	31 期号:9 页码:14
摘要	Let X be an n-dimensional complex Fano manifold (n >= 3). Assume that X contains a divisor A, which is isomorphic to a rational homogeneous space with Picard number one, such that the conormal bundle N-A/x* is ample over A. Building on the works of Tsukioka, Watanabe and Casagrande-Druel, we give a complete classification of such pairs (X, A).
关键词	Fano manifolds rational homogeneous spaces extremal contraction Mori theory
DOI	10.1142/S0129167X20500664
收录类别	SCI
语种	英语
资助项目	China Postdoctoral Science Foundation[2019M650873]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000566383700001
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52067
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, Jie
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Liu, Jie. Fano manifolds containing a negative divisor isomorphic to a rational homogeneous space of Picard number one[J]. INTERNATIONAL JOURNAL OF MATHEMATICS,2020,31(9):14.
APA	Liu, Jie.(2020).Fano manifolds containing a negative divisor isomorphic to a rational homogeneous space of Picard number one.INTERNATIONAL JOURNAL OF MATHEMATICS,31(9),14.
MLA	Liu, Jie."Fano manifolds containing a negative divisor isomorphic to a rational homogeneous space of Picard number one".INTERNATIONAL JOURNAL OF MATHEMATICS 31.9(2020):14.