Examples of Fano manifolds with non-pseudoeffective tangent bundle

doi:10.1112/jlms.12567

CSpace

	Examples of Fano manifolds with non-pseudoeffective tangent bundle
	Horing, Andreas 1; Liu, Jie 2; Shao, Feng 3,4
	2022-03-17
发表期刊	JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES
ISSN	0024-6107
页码	33
摘要	Let X$X$ be a Fano manifold. While the properties of the anticanonical divisor -KX$-K_X$ and its multiples have been studied by many authors, the positivity of the tangent bundle TX$T_X$ is much more elusive. We give a complete characterisation of the pseudoeffectivity of TX$T_X$ for del Pezzo surfaces, hypersurfaces in the projective space and del Pezzo threefolds.
DOI	10.1112/jlms.12567
收录类别	SCI
语种	英语
资助项目	National Key Research and Development Project of China[2021YFA1002300] ; China Postdoctoral Science Foundation[2019M650873] ; NSFC[11688101] ; NSFC[12001521]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000770016400001
出版者	WILEY
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60155
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	1.Univ Cote dAzur, Inst Univ France, CNRS, LJAD, Nice, France 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 4.Univ Chinese Acad Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Horing, Andreas,Liu, Jie,Shao, Feng. Examples of Fano manifolds with non-pseudoeffective tangent bundle[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES,2022:33.
APA	Horing, Andreas,Liu, Jie,&Shao, Feng.(2022).Examples of Fano manifolds with non-pseudoeffective tangent bundle.JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES,33.
MLA	Horing, Andreas,et al."Examples of Fano manifolds with non-pseudoeffective tangent bundle".JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES (2022):33.