On Fano complete intersections in rational homogeneous varieties

doi:10.1007/s00209-019-02351-4

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	On Fano complete intersections in rational homogeneous varieties
	Bai, Chenyu 1; Fu, Baohua 1,2; Manivel, Laurent 3
	2020-06-01
发表期刊	MATHEMATISCHE ZEITSCHRIFT
ISSN	0025-5874
卷号	295 期号:1-2 页码:289-308
摘要	Complete intersections inside rational homogeneous varieties provide interesting examples of Fano manifolds. For example, if X=boolean AND i=1rDi subset of G/PX = \cap _{i=1}<^>r D_i \subset G/P$$\end{document} is a smooth complete intersection of r ample divisors such that KG/P*circle times OG/P(- n-ary sumation iDi) is ample, then X is Fano. We first classify these Fano complete intersections which are locally rigid. It turns out that most of them are hyperplane sections. We then classify general hyperplane sections which are quasi-homogeneous.
DOI	10.1007/s00209-019-02351-4
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000534474400011
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51511
专题	中国科学院数学与系统科学研究院
通讯作者	Fu, Baohua
作者单位	1.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China 2.Chinese Acad Sci, AMSS, MCM, 55 ZhongGuanCun East Rd, Beijing 100190, Peoples R China 3.Univ Toulouse, CNRS, UPS IMT, UMR 5219,Inst Math Toulouse, F-31062 Toulouse 2, France
推荐引用方式 GB/T 7714	Bai, Chenyu,Fu, Baohua,Manivel, Laurent. On Fano complete intersections in rational homogeneous varieties[J]. MATHEMATISCHE ZEITSCHRIFT,2020,295(1-2):289-308.
APA	Bai, Chenyu,Fu, Baohua,&Manivel, Laurent.(2020).On Fano complete intersections in rational homogeneous varieties.MATHEMATISCHE ZEITSCHRIFT,295(1-2),289-308.
MLA	Bai, Chenyu,et al."On Fano complete intersections in rational homogeneous varieties".MATHEMATISCHE ZEITSCHRIFT 295.1-2(2020):289-308.