Hilbert Problem 15 and Ritt-Wu Method (I)

doi:10.1007/s11424-019-8344-4

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	Hilbert Problem 15 and Ritt-Wu Method (I)
	Li Banghe
	2019-02-01
发表期刊	JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN	1009-6124
卷号	32 期号:1 页码:47-61
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.
关键词	Cubed curves with cusp Hilbert Problem 15 Ritt-Wu Method
DOI	10.1007/s11424-019-8344-4
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000458795500004
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/32560
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.