Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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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.

Weierstrass semigroups on double covers of plane curves of degree six with total flexes

Seon Jeong Kim, Jiryo Komeda

Gyeongsang National University, Kanagawa Institute of Technology

Abstract

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