properreparametrizationforinherentlyimproperunirationalvarieties

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	properreparametrizationforinherentlyimproperunirationalvarieties
	Shen Liyong 2; Engwee CHIONH 4; Gao Xiaoshan1 ; Li Jia 3
刊名	journalofsystemsscienceandcomplexity
	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
内容类型	期刊论文
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.