Numerical semigroups of genus eight and double coverings of curves of genus three

被引：7

作者：

Harui, Takeshi ^{[1
]}

Komeda, Jiryo ^{[2
]}

机构：

[1] Kogakuin Univ, Acad Support Ctr, Hachioji, Tokyo 1920015, Japan

[2] Kanagawa Inst Technol, Dept Math, Ctr Basic Educ & Integrated Learning, Atsugi, Kanagawa 2430292, Japan

来源：

SEMIGROUP FORUM | 2014年 / 89卷 / 03期

关键词：

Weierstrass semigroups; Numerical semigroups; Double coverings; Plane quartics;

D O I：

10.1007/s00233-014-9590-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The authors determine all possible numerical semigroups at ramification points of double coverings of curves when the covered curve is of genus three and the covering curve is of genus eight. Moreover, it is shown that all of such numerical semigroups are actually of double covering type.

引用

页码：571 / 581

页数：11

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