KMS Of Academy of mathematics and systems sciences, CAS
| Toric Difference Variety | |
Gao Xiao-Shan1 ; Huang Zhang2; Wang Jie1; Yuan Chun-Ming1
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| 2017-02-01 | |
| 发表期刊 | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
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| ISSN | 1009-6124 |
| 卷号 | 30期号:1页码:173-195 |
| 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. |
| 关键词 | Affine N[x]-semimodule difference torus T-orbit toirc difference ideal toric difference variety Z[x]-lattice. |
| DOI | 10.1007/s11424-017-6174-9 |
| 语种 | 英语 |
| 资助项目 | National Natural Science Foundation of China[11688101] |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics, Interdisciplinary Applications |
| WOS记录号 | WOS:000397236700013 |
| 出版者 | SPRINGER HEIDELBERG |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/24905 |
| 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. |
| 条目包含的文件 | 条目无相关文件。 | |||||
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