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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

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

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
2022, v.29 no.4, pp.353-368
https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.4.353
Kim, Seon Jeong
Kang, Eunju

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

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