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
KIM,,
S.
J.
, &
KANG,,
E.
(2016). Plane curves meeting at a point with high intersection multiplicity. , 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
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intersection multiplicy,
intersection number,
plane curve