Double covers of plane curves of degree six with almost total flexes
Bull. Korean Math. Soc.
Published online August 6, 2019
Seon Jeong Kim and Jiryo Komeda
Gyeongsang National University, Kanagawa Institute of Technology
Abstract : 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
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