KMS Of Academy of mathematics and systems sciences, CAS
| Unirational differential curves and differential rational parametrizations | |
| Fu, Lei1,2; Li, Wei1,2 | |
| 2021-05-01 | |
| Source Publication | JOURNAL OF SYMBOLIC COMPUTATION
 |
| ISSN | 0747-7171 |
| Volume | 104Pages:539-562 |
| Abstract | 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. |
| Keyword | Unirational differential curve Proper differential rational parametrization Differential resultants Implicitization |
| DOI | 10.1016/j.jsc.2020.08.008 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | NSFC[11971029] ; NSFC[11688101] ; NSFC[11671014] |
| WOS Research Area | Computer Science ; Mathematics |
| WOS Subject | Computer Science, Theory & Methods ; Mathematics, Applied |
| WOS ID | WOS:000598670000027 |
| Publisher | ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/57926 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Fu, Lei |
| Affiliation | 1.Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China |
| Recommended Citation 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. |
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