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

ISSN : 3059-0604

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Vol.28 No.4

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A WEIERSTRASS SEMIGROUP AT A GENERALIZED FLEX ON A PLANE CURVE

A Weierstrass Semigroup at a Generalized Flex on a Plane Curve

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2021, v.28 no.4, pp.399-411
https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.4.399
Kim, Seon Jeong (Department of Mathematics and RINS, Gyeongsang National University)
Kang, Eunju (Department of Information and Communication Engineering, Honam University)
Kim, Seon Jeong, & Kang, Eunju. (2021). A WEIERSTRASS SEMIGROUP AT A GENERALIZED FLEX ON A PLANE CURVE, 28(4), 399-411, https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.4.399

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

한국수학교육학회지시리즈B:순수및응용수학

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