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toricdifferencevariety
Gao Xiaoshan1; Huang Zhang2; Wang Jie1; Yuan Chunming1
2017-01-01
发表期刊journalofsystemsscienceandcomplexity
ISSN1009-6124
卷号30期号:1页码:173
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 Nx-semimodules are established by proving the one-to-one correspondence between irreducible invariant difference subvarieties and faces of Nx-semimodules and the orbit-face correspondence. Finally, an algorithm is given to decide whether a binomial difference ideal represented by a Zx-lattice defines a toric difference variety.
语种英语
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/46394
专题系统科学研究所
作者单位1.中国科学院数学与系统科学研究院
2.成都理工大学
推荐引用方式
GB/T 7714
Gao Xiaoshan,Huang Zhang,Wang Jie,et al. toricdifferencevariety[J]. journalofsystemsscienceandcomplexity,2017,30(1):173.
APA Gao Xiaoshan,Huang Zhang,Wang Jie,&Yuan Chunming.(2017).toricdifferencevariety.journalofsystemsscienceandcomplexity,30(1),173.
MLA Gao Xiaoshan,et al."toricdifferencevariety".journalofsystemsscienceandcomplexity 30.1(2017):173.
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