中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
Toric Difference Variety

文献类型:期刊论文

作者Gao Xiao-Shan1; Huang Zhang2; Wang Jie1; Yuan Chun-Ming1
刊名JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
出版日期2017-02-01
卷号30期号:1页码:173-195
关键词Affine N[x]-semimodule difference torus T-orbit toirc difference ideal toric difference variety Z[x]-lattice.
ISSN号1009-6124
DOI10.1007/s11424-017-6174-9
英文摘要In this paper, the concept of toric difference varieties is defined and four equivalent descriptions for toric difference varieties are presented in terms of difference rational parametrization, difference coordinate rings, toric difference ideals, and group actions by difference tori. Connections between toric difference varieties and affine N[x]-semimodules are established by proving the one-to-one correspondence between irreducible invariant difference subvarieties and faces of N[x]-semimodules and the orbit-face correspondence. Finally, an algorithm is given to decide whether a binomial difference ideal represented by a Z[x]-lattice defines a toric difference variety.
资助项目National Natural Science Foundation of China[11688101]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000397236700013
出版者SPRINGER HEIDELBERG
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/24904]  
专题系统科学研究所
通讯作者Yuan Chun-Ming
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mech, Beijing 100190, Peoples R China
2.Chengdu Univ Technol, Dept Appl Math, Chengdu 610059, Peoples R China
推荐引用方式
GB/T 7714
Gao Xiao-Shan,Huang Zhang,Wang Jie,et al. Toric Difference Variety[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2017,30(1):173-195.
APA Gao Xiao-Shan,Huang Zhang,Wang Jie,&Yuan Chun-Ming.(2017).Toric Difference Variety.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,30(1),173-195.
MLA Gao Xiao-Shan,et al."Toric Difference Variety".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 30.1(2017):173-195.

入库方式: OAI收割

来源:数学与系统科学研究院

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