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Hilbert Problem 15 and Ritt-Wu Method (I)
Li Banghe
2019-02-01
Source PublicationJOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN1009-6124
Volume32Issue:1Pages:47-61
AbstractHilbert 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.
KeywordCubed curves with cusp Hilbert Problem 15 Ritt-Wu Method
DOI10.1007/s11424-019-8344-4
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Interdisciplinary Applications
WOS IDWOS:000458795500004
PublisherSPRINGER HEIDELBERG
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/32560
Collection系统科学研究所
AffiliationChinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China
Recommended Citation
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.
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