KMS Of Academy of mathematics and systems sciences, CAS
Pseudo-effective and nef cones on spherical varieties | |
Li, Qifeng | |
2015-08-01 | |
Source Publication | MATHEMATISCHE ZEITSCHRIFT |
ISSN | 0025-5874 |
Volume | 280Issue:3-4Pages:945-979 |
Abstract | 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 |
Language | 英语 |
WOS Research Area | Mathematics |
WOS Subject | Mathematics |
WOS ID | WOS:000358208300019 |
Publisher | SPRINGER HEIDELBERG |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/20408 |
Collection | 中国科学院数学与系统科学研究院 |
Affiliation | Chinese 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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