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Computing the intersections of three conics according to their Jacobian curve
Feng, Ruyong1; Shen, Li-Yong2,3
2016-03-01
Source PublicationJOURNAL OF SYMBOLIC COMPUTATION
ISSN0747-7171
Volume73Pages:175-191
AbstractIn this study, we describe the intersection of three conics based on the singularities of their corresponding Jacobian curve. In particular, we show that certain singular points and sub-lines of the Jacobian curve are the precise common points and common tangent lines of the conics, respectively. Based on our results, these points or the tangent line can be computed as the singularities of the Jacobian curve. These results facilitate investigations of the relationships between a net of conics and their Jacobian curve. (C) 2015 Elsevier Ltd. All rights reserved.
KeywordAlgebraic condition Conic Intersection Jacobian curve Singularity
DOI10.1016/j.jsc.2015.06.004
Language英语
Funding ProjectBeijing Nova Program[Z121104002512065]
WOS Research AreaComputer Science ; Mathematics
WOS SubjectComputer Science, Theory & Methods ; Mathematics, Applied
WOS IDWOS:000361856600010
PublisherACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/20856
Collection系统科学研究所
Corresponding AuthorShen, Li-Yong
Affiliation1.Chinese Acad Sci, AMSS, Key Lab Math Mech, Beijing 100864, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China
3.Chinese Acad Sci, Key Lab Big Data Min & Knowledge Management, Beijing 100864, Peoples R China
Recommended Citation
GB/T 7714
Feng, Ruyong,Shen, Li-Yong. Computing the intersections of three conics according to their Jacobian curve[J]. JOURNAL OF SYMBOLIC COMPUTATION,2016,73:175-191.
APA Feng, Ruyong,&Shen, Li-Yong.(2016).Computing the intersections of three conics according to their Jacobian curve.JOURNAL OF SYMBOLIC COMPUTATION,73,175-191.
MLA Feng, Ruyong,et al."Computing the intersections of three conics according to their Jacobian curve".JOURNAL OF SYMBOLIC COMPUTATION 73(2016):175-191.
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