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ISSN : 1226-0657

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Vol.23 No.3

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Plane curves meeting at a point with high intersection multiplicity

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / 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
KANG, EUNJU
KIM,, S. J. , & KANG,, E. (2016). Plane curves meeting at a point with high intersection multiplicity. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 23(3), 309-317, https://doi.org/10.7468/jksmeb.2016.23.3.309

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

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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