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.
引用
收藏
页码：142 / 167
页数：26
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