Unirational differential curves and differential rational parametrizations

doi:10.1016/j.jsc.2020.08.008

	Unirational differential curves and differential rational parametrizations
	Fu, Lei 1,2; Li, Wei 1,2
刊名	JOURNAL OF SYMBOLIC COMPUTATION
	2021-05-01
卷号	104 页码:539-562
关键词	Unirational differential curve Proper differential rational parametrization Differential resultants Implicitization
ISSN号	0747-7171
DOI	10.1016/j.jsc.2020.08.008
英文摘要	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.
资助项目	NSFC[11971029] ; NSFC[11688101] ; NSFC[11671014]
WOS研究方向	Computer Science ; Mathematics
语种	英语
出版者	ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
WOS记录号	WOS:000598670000027
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/57925]
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.