Hilbert Problem 15 and Ritt-Wu Method (II)
文献类型：期刊论文
| 作者 | Li, Banghe2; Wang, Dingkang1,2 |
| 刊名 | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
 |
| 出版日期 | 2020-08-04 |
| 页码 | 15 |
| 关键词 | Cubic curves with cusp Hilbert problem 15 Ritt-Wu method |
| ISSN号 | 1009-6124 |
| DOI | 10.1007/s11424-020-9166-0 |
| 英文摘要 | This paper proves three statements of Schubert about cuspal cubic curves in a plane by using the concept of generic point of Van der Waerden and Weil and Ritt-Wu methods. They are relations of some special lines: 1) For a given point, all the curves containing this point are considered. For any such curve, there are five lines. Two of them are the tangent lines of the curve passing through the given point. The other three are the lines connecting the given point with the cusp, the inflexion point and the intersection point of the tangent line at the cusp and the inflexion line. 2) For a given point, the curves whose tangent line at the cusp passes through this point are considered. For any such curve, there are four lines. Three of them are the tangent lines passing through this point and the other is the line connect the given point and the inflexion point. 3) For a given point, the curves whose cusp, inflexion point and the given point are collinear are considered. For any such curve, there are five lines. Three of them are tangent lines passing through the given point. The other two are the lines connecting the given point with the cusp and the intersection point of the tangent line at the cusp and the inflexion line. |
| 资助项目 | CAS Project[QYZDJ-SSW-SYS022] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000555391900006 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51897]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li, Banghe |
| 作者单位 | 1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Banghe,Wang, Dingkang. Hilbert Problem 15 and Ritt-Wu Method (II)[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2020:15. |
| APA | Li, Banghe,&Wang, Dingkang.(2020).Hilbert Problem 15 and Ritt-Wu Method (II).JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,15. |
| MLA | Li, Banghe,et al."Hilbert Problem 15 and Ritt-Wu Method (II)".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY (2020):15. |
入库方式： OAI收割
来源：数学与系统科学研究院
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