Proper reparametrization for inherently improper unirational varieties

doi:10.1007/s11424-010-7221-y

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	Proper reparametrization for inherently improper unirational varieties
	Shen, Liyong 1; Chionh, Engwee 2; Gao, Xiao-Shan3 ; Li, Jia 4
	2011-04-01
发表期刊	JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN	1009-6124
卷号	24 期号:2 页码:367-380
摘要	In this paper, a class of lattice supports in the lattice space Z (m) is found to be inherently improper because any rational parametrization from C (m) to C (n) 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.
关键词	BKK bound chow form improper lattice supports improper rational parametrizations reparametrization support transformation
DOI	10.1007/s11424-010-7221-y
语种	英语
资助项目	National Key Basic Research Project of China[2011CB302400] ; National Natural Science Foundation of China[10901163]
WOS研究方向	Mathematics
WOS类目	Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000289530200015
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/11616
专题	系统科学研究所
通讯作者	Shen, Liyong
作者单位	1.Chinese Acad Sci, Grad Univ, Sch Math Sci, Beijing 100049, Peoples R China 2.Natl Univ Singapore, Sch Comp, Singapore 117543, Singapore 3.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China 4.Beijing Elect Sci & Technol Inst, Beijing 100070, Peoples R China
推荐引用方式 GB/T 7714	Shen, Liyong,Chionh, Engwee,Gao, Xiao-Shan,et al. Proper reparametrization for inherently improper unirational varieties[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2011,24(2):367-380.
APA	Shen, Liyong,Chionh, Engwee,Gao, Xiao-Shan,&Li, Jia.(2011).Proper reparametrization for inherently improper unirational varieties.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,24(2),367-380.
MLA	Shen, Liyong,et al."Proper reparametrization for inherently improper unirational varieties".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 24.2(2011):367-380.