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DOUBLE COVERS OF PLANE CURVES OF DEGREE SIX WITH ALMOST TOTAL FLEXES

Authors
Kim, Seon JeongKomeda, Jiryo
Issue Date
Sep-2019
Publisher
대한수학회
Keywords
numerical semigroup; Weierstrass semigroup of a point; double cover of a curve; plane curve of degree 6
Citation
대한수학회보, v.56, no.5, pp 1159 - 1186
Pages
28
Indexed
SCIE
SCOPUS
KCI
Journal Title
대한수학회보
Volume
56
Number
5
Start Page
1159
End Page
1186
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/8781
DOI
10.4134/BKMS.b180915
ISSN
1015-8634
2234-3016
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.
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