Bull. Korean Math. Soc. 2019; 56(5): 1159-1186
Online first article August 6, 2019 Printed September 30, 2019
https://doi.org/10.4134/BKMS.b180915
Copyright © The Korean Mathematical Society.
Seon Jeong Kim, Jiryo Komeda
Gyeongsang National University; Kanagawa Institute of Technology
In this paper, we study plane curves of degree $6$ with points whose multiplicities of the tangents are $5$. We determine all the Weierstrass semigroups of ramification points on double covers of the plane curves when the genera of the covering curves are greater than $29$ and the ramification points are on the points with multiplicity $5$ of the tangent.
Keywords: numerical semigroup, Weierstrass semigroup of a point, double cover of a curve, plane curve of degree 6
MSC numbers: Primary 14H55, 14H50, 14H30, 20M14
Supported by: This work was partially supported by JPS KAKENHI Grant Numbers 18K03228 and Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education (2016R1D1A1B01011730)
2018; 55(2): 611-624
1996; 33(2): 187-191
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