properreparametrizationforinherentlyimproperunirationalvarieties
文献类型：期刊论文
| 作者 | Shen Liyong2; Engwee CHIONH4; Gao Xiaoshan1 ; Li Jia3
|
| 刊名 | journalofsystemsscienceandcomplexity
 |
| 出版日期 | 2011 |
| 卷号 | 024期号:002页码:367 |
| ISSN号 | 1009-6124 |
| 英文摘要 | In this paper, a class of lattice supports in the lattice space Zm is found to be inherently improper because any rational parametrization from Cm to Cm defined on such a support is improper. The improper index for such a lattice support is defined to be the gcd of the normalized volumes of all the simplex sub-supports. The structure of an improper support S is analyzed and shrinking transformations are constructed to transform S to a proper one. For a generic rational parametrization RP defined on an improper support S, we prove that its improper index is the improper index of S and give a proper reparametrization algorithm for RP. Finally, properties for rational parametrizations defined on an improper support and with numerical coefficients are also considered. |
| 语种 | 英语 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/48388]  |
| 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.中国科学院 3.Beijing Electrical Science and Technology Institute 4.新加坡国立大学 |
| 推荐引用方式 GB/T 7714 | Shen Liyong,Engwee CHIONH,Gao Xiaoshan,et al. properreparametrizationforinherentlyimproperunirationalvarieties[J]. journalofsystemsscienceandcomplexity,2011,024(002):367. |
| APA | Shen Liyong,Engwee CHIONH,Gao Xiaoshan,&Li Jia.(2011).properreparametrizationforinherentlyimproperunirationalvarieties.journalofsystemsscienceandcomplexity,024(002),367. |
| MLA | Shen Liyong,et al."properreparametrizationforinherentlyimproperunirationalvarieties".journalofsystemsscienceandcomplexity 024.002(2011):367. |
入库方式： OAI收割
来源：数学与系统科学研究院
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