Hilbert Problem 15 and Ritt-Wu Method (I)
文献类型：期刊论文
| 作者 | Li Banghe
|
| 刊名 | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
 |
| 出版日期 | 2019-02-01 |
| 卷号 | 32期号:1页码:47-61 |
| 关键词 | Cubed curves with cusp Hilbert Problem 15 Ritt-Wu Method |
| ISSN号 | 1009-6124 |
| DOI | 10.1007/s11424-019-8344-4 |
| 英文摘要 | Hilbert problem 15 requires to understand Schubert's book. In this book, there is a theorem in 23, about the relation of the tangent lines from a point and the singular points of cubed curves with cusp near a 3-multiple straight line, which was obtained by the so called main trunk numbers, while for these numbers, Schubert said that he obtained them by experiences. So essentially Schubert even did not give any hint for the proof of this theorem. In this paper, by using the concept of generic point in the framework of Van der Waerden and Weil on algebraic geometry, and realizing Ritt-Wu method on computer, the authors prove that this theorem of Schubert is completely right. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000458795500004 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/32559]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Li Banghe |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li Banghe. Hilbert Problem 15 and Ritt-Wu Method (I)[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2019,32(1):47-61. |
| APA | Li Banghe.(2019).Hilbert Problem 15 and Ritt-Wu Method (I).JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,32(1),47-61. |
| MLA | Li Banghe."Hilbert Problem 15 and Ritt-Wu Method (I)".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 32.1(2019):47-61. |
入库方式： OAI收割
来源：数学与系统科学研究院
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