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 |
| DOI | 10.1007/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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