Weierstrass semigroups on double covers of genus 4 curves

被引：5
|
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, Atsugi, Kanagawa 2430292, Japan
来源：
JOURNAL OF ALGEBRA | 2014年 / 405卷
基金：
日本学术振兴会; 新加坡国家研究基金会;
关键词：
Weierstrass semigroup of a point; Double cover of a curve; Curve of genus 4; POINTS;
D O I：
10.1016/j.jalgebra.2014.02.006
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let C be a complete non-singular irreducible curve of genus 4 over an algebraically closed field of characteristic 0. We determine all possible Weierstrass semigroups of ramification points on double covers of C which have genus greater than 11. Moreover, we construct double covers with ramification points whose Weierstrass semigroups are the possible ones. (C) 2014 Elsevier Inc. All rights reserved.
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页码：142 / 167
页数：26
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