Pseudo-effective and nef cones on spherical varieties

doi:10.1007/s00209-015-1457-0

CSpace

	Pseudo-effective and nef cones on spherical varieties
	Li, Qifeng
	2015-08-01
发表期刊	MATHEMATISCHE ZEITSCHRIFT
ISSN	0025-5874
卷号	280 期号:3-4 页码:945-979
摘要	We show that nef cycle classes on smooth complete spherical varieties are effective, and the products of nef cycle classes are also nef. Let X be a smooth projective spherical variety such that its effective cycle classes of codimension k are nef, where 1 <= k <= dim(X) - 1. We study the properties of X. In particular if X is a toric variety, then X is isomorphic to the product of some projective spaces; if X is toroidal, then X is isomorphic to a rational homogeneous space; if X is horospherical, dim(X) >= 3 and k = 2, then effective divisors on X are nef; if X is horospherical and effective divisors on X are nef, then there is a morphism from X to a rational homogeneous space such that each fiber is isomorphic to the product of some horospherical varieties of Picard number one.
DOI	10.1007/s00209-015-1457-0
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000358208300019
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/20408
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Qifeng
作者单位	Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Li, Qifeng. Pseudo-effective and nef cones on spherical varieties[J]. MATHEMATISCHE ZEITSCHRIFT,2015,280(3-4):945-979.
APA	Li, Qifeng.(2015).Pseudo-effective and nef cones on spherical varieties.MATHEMATISCHE ZEITSCHRIFT,280(3-4),945-979.
MLA	Li, Qifeng."Pseudo-effective and nef cones on spherical varieties".MATHEMATISCHE ZEITSCHRIFT 280.3-4(2015):945-979.