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Proper reparametrization for inherently improper unirational varieties

文献类型：期刊论文

作者Shen, Liyong1; Chionh, Engwee2; Gao, Xiao-Shan3; Li, Jia4
刊名JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
出版日期2011-04-01
卷号24期号:2页码:367-380
关键词BKK bound chow form improper lattice supports improper rational parametrizations reparametrization support transformation
ISSN号1009-6124
DOI10.1007/s11424-010-7221-y
英文摘要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.
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
语种英语
WOS记录号WOS:000289530200015
出版者SPRINGER HEIDELBERG
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/11615]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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