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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

Plane curves meeting at a point with high intersection multiplicity

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2016, v.23 no.3, pp.309-317
https://doi.org/10.7468/jksmeb.2016.23.3.309
KIM, SEON JEONG
KANG, EUNJU

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: Theoretical Mathematics and Pedagogical Mathematics