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Toric Difference Variety
Gao Xiao-Shan1; Huang Zhang2; Wang Jie1; Yuan Chun-Ming1
2017-02-01
Source PublicationJOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN1009-6124
Volume30Issue:1Pages:173-195
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 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.
KeywordAffine N[x]-semimodule difference torus T-orbit toirc difference ideal toric difference variety Z[x]-lattice.
DOI10.1007/s11424-017-6174-9
Language英语
Funding ProjectNational Natural Science Foundation of China[11688101]
WOS Research AreaMathematics
WOS SubjectMathematics, Interdisciplinary Applications
WOS IDWOS:000397236700013
PublisherSPRINGER HEIDELBERG
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/24905
Collection系统科学研究所
Corresponding AuthorYuan Chun-Ming
Affiliation1.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
Recommended Citation
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.
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