Understanding Schubert's book (I)

doi:10.1007/s10473-021-0106-4

	Understanding Schubert's book (I)
	Li, Banghe
刊名	ACTA MATHEMATICA SCIENTIA
	2021
卷号	41 期号:1 页码:97-113
关键词	Hilbert Problem 15 enumeration geometry incidence formula
ISSN号	0252-9602
DOI	10.1007/s10473-021-0106-4
英文摘要	Hilbert Problem 15 required an understanding of Schubert's book [1], both its methods and its results. In this paper, following his idea, we prove that the formulas in 6, 7, 10, about the incidence of points, lines and planes, are all correct. As an application, we prove formulas 8 and 9 in 12, which are frequently used in his book.
资助项目	National Center for Mathematics and Interdisciplinary Sciences, CAS
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000601543500006
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/57834]
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	Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Li, Banghe. Understanding Schubert's book (I)[J]. ACTA MATHEMATICA SCIENTIA,2021,41(1):97-113.
APA	Li, Banghe.(2021).Understanding Schubert's book (I).ACTA MATHEMATICA SCIENTIA,41(1),97-113.
MLA	Li, Banghe."Understanding Schubert's book (I)".ACTA MATHEMATICA SCIENTIA 41.1(2021):97-113.