A Weierstrass Semigroup at a Generalized Flex on a Plane Curve

한국수학교육학회지시리즈B:순수및응용수학 / 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 (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. 한국수학교육학회지시리즈B:순수및응용수학, 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

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논문 상세

Vol.28 No.4

A WEIERSTRASS SEMIGROUP AT A GENERALIZED FLEX ON A PLANE CURVE

A Weierstrass Semigroup at a Generalized Flex on a Plane Curve

Abstract

한국수학교육학회지시리즈B:순수및응용수학