A Weierstrass Semigroup at a Pair of inflection points with High Multiplicities

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2022, v.29 no.4, pp.353-368

https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.4.353

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. (2022). A WEIERSTRASS SEMIGROUP AT A PAIR OF INFLECTION POINTS WITH HIGH MULTIPLICITIES. 한국수학교육학회지시리즈B:순수및응용수학, 29(4), 353-368, https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.4.353

복사

Abstract

In the previous paper [4], we classified the Weierstrass semigroups at a pair of inflection points of multiplicities d and d - 1 on a smooth plane curve of degree d. In this paper, as a continuation of those results, we classify all semigroups each of which arises as a Weierstrass semigroup at a pair of inflection points of multiplicities d, d - 1 and d - 2 on a smooth plane curve of degree d.

keywords: Weierstrass semigroup at a pair, Weierstrass semigroup at a point, inflection point

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논문 상세

Vol.29 No.4

A WEIERSTRASS SEMIGROUP AT A PAIR OF INFLECTION POINTS WITH HIGH MULTIPLICITIES

A Weierstrass Semigroup at a Pair of inflection points with High Multiplicities

Abstract

한국수학교육학회지시리즈B:순수및응용수학