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ISSN : 1226-0657

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Vol.28 No.4
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A Weierstrass Semigroup at a Generalized Flex on a Plane Curve

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
2021, v.28 no.4, pp.399-411
https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.4.399
Kim, Seon Jeong
Kang, Eunju
Kim,, S. J. , & Kang,, E. (2021). A Weierstrass Semigroup at a Generalized Flex on a Plane Curve. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 28(4), 399-411, https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.4.399
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Abstract

We consider a Weierstrass semigroup at a generalized flex on a smooth plane curve. We find the candidates of a Weierstrass semigroup at a 2-flex of higher multiplicity on a smooth plane curve of degree d ≥ 5, and give some examples to show the existence of them.

keywords
order sequence, Weierstrass point, Weierstrass semigroup, smooth plane curve, inflection point, 2-flex, m-flex

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

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