Plane curves meeting at a point with high intersection multiplicity

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2016, v.23 no.3, pp.309-317

https://doi.org/10.7468/jksmeb.2016.23.3.309

KIM, SEON JEONG (DEPARTMENT OF MATHEMATICS AND RINS, GYEONGSANG NATIONAL UNIVERSITY)
KANG, EUNJU (BDEPARTMENT OF INFORMATION AND COMMUNICATION ENGINEERING, HONAM UNIVERSITY)

KIM, SEON JEONG, & KANG, EUNJU. (2016). PLANE CURVES MEETING AT A POINT WITH HIGH INTERSECTION MULTIPLICITY. 한국수학교육학회지시리즈B:순수및응용수학, 23(3), 309-317, https://doi.org/10.7468/jksmeb.2016.23.3.309

복사

Abstract

As a generalization of an inflection point, we consider a point P on a smooth plane curve C of degree m at which another curve C' of degree n meets C with high intersection multiplicity. Especially, we deal with the existence of two curves of degree m and n meeting at the unique point.

keywords: intersection multiplicy, intersection number, plane curve

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논문 상세

Vol.23 No.3

PLANE CURVES MEETING AT A POINT WITH HIGH INTERSECTION MULTIPLICITY

Plane curves meeting at a point with high intersection multiplicity

Abstract

한국수학교육학회지시리즈B:순수및응용수학