Bull. Korean Math. Soc. 2018; 55(2): 611-624
Online first article March 19, 2018 Printed March 30, 2018
https://doi.org/10.4134/BKMS.b170195
Copyright © The Korean Mathematical Society.
Seon Jeong Kim, Jiryo Komeda
Gyeongsang National University, Kanagawa Institute of Technology
In this paper, we study Weierstrass semigroups of ramification points on double covers of plane curves of degree $6$. We determine all the Weierstrass semigroups when the genus of the covering curve is greater than $29$ and the ramification point is on a total flex.
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
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