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toricdifferencevariety
Gao Xiaoshan1; Huang Zhang2; Wang Jie1; Yuan Chunming1
2017
Source Publicationjournalofsystemsscienceandcomplexity
ISSN1009-6124
Volume30Issue:1Pages:173
AbstractIn 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.
Language英语
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/46394
Collection系统科学研究所
Affiliation1.中国科学院数学与系统科学研究院
2.成都理工大学
Recommended Citation
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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