WEIERSTRASS SEMIGROUPS ON DOUBLE COVERS OF PLANE CURVES OF DEGREE 5

被引：3
作者：
Kim, Seon Jeong [1 ,2 ]
Komeda, Jiryo [3 ]
机构：
[1] Gyeongsang Natl Univ, Dept Math, Jinju 660701, South Korea
[2] Gyeongsang Natl Univ, RINS, Jinju 660701, South Korea
[3] Kanagawa Inst Technol, Dept Math, Ctr Basic Educ & Integrated Learning, Atsugi, Kanagawa 2430292, Japan
来源：
KODAI MATHEMATICAL JOURNAL | 2015年 / 38卷 / 02期
基金：
新加坡国家研究基金会;
关键词：
Numerical semigroup; Weierstrass semigroup of a point; Double cover of a plane curve; Plane curve of degree 5;
D O I：
10.2996/kmj/1436403890
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate Weierstrass semigroups of ramification points on double covers of plane curves of degree d. Using the results we determine all the Weierstrass semigroups in the case d = 5 when the genus of the covering curve is greater than 17 and the ramification point is on a non-ordinary flex.
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页码：270 / 288
页数：19
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