CSpace
Pseudo-effective and nef cones on spherical varieties
Li, Qifeng
2015-08-01
Source PublicationMATHEMATISCHE ZEITSCHRIFT
ISSN0025-5874
Volume280Issue:3-4Pages:945-979
AbstractWe 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.
DOI10.1007/s00209-015-1457-0
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000358208300019
PublisherSPRINGER HEIDELBERG
Citation statistics
Cited Times:6[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/20408
Collection中国科学院数学与系统科学研究院
AffiliationChinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Recommended Citation
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.
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