Unirational differential curves and differential rational parametrizations

doi:10.1016/j.jsc.2020.08.008

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	Unirational differential curves and differential rational parametrizations
	Fu, Lei 1,2; Li, Wei 1,2
	2021-05-01
发表期刊	JOURNAL OF SYMBOLIC COMPUTATION
ISSN	0747-7171
卷号	104 页码:539-562
摘要	In this paper, we study unirational differential curves and the corresponding differential rational parametrizations. We first investigate basic properties of proper differential rational parametrizations for unirational differential curves. Then we show that the implicitization problem of proper linear differential rational parametric equations can be solved by means of differential resultants. Furthermore, for linear differential curves, we give an algorithm to determine whether an implicitly given linear differential curve is unirational, and in the affirmative case, to compute a proper differential rational parametrization for the differential curve. (C) 2020 Elsevier Ltd. All rights reserved.
关键词	Unirational differential curve Proper differential rational parametrization Differential resultants Implicitization
DOI	10.1016/j.jsc.2020.08.008
收录类别	SCI
语种	英语
资助项目	NSFC[11971029] ; NSFC[11688101] ; NSFC[11671014]
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Theory & Methods ; Mathematics, Applied
WOS记录号	WOS:000598670000027
出版者	ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/57926
专题	中国科学院数学与系统科学研究院
通讯作者	Fu, Lei
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Fu, Lei,Li, Wei. Unirational differential curves and differential rational parametrizations[J]. JOURNAL OF SYMBOLIC COMPUTATION,2021,104:539-562.
APA	Fu, Lei,&Li, Wei.(2021).Unirational differential curves and differential rational parametrizations.JOURNAL OF SYMBOLIC COMPUTATION,104,539-562.
MLA	Fu, Lei,et al."Unirational differential curves and differential rational parametrizations".JOURNAL OF SYMBOLIC COMPUTATION 104(2021):539-562.