Unirational differential curves and differential rational parametrizations
文献类型：期刊论文
| 作者 | Fu, Lei1,2; Li, Wei1,2 |
| 刊名 | JOURNAL OF SYMBOLIC COMPUTATION
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000598670000027 |
| 出版者 | ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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