Pseudo-effective and nef cones on spherical varieties
Li, Qifeng
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.
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000358208300019
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Document Type期刊论文
Corresponding AuthorLi, Qifeng
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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