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

页码：142 / 167

页数：26

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