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

被引：3

作者：

Harui, Takeshi ^{[1
]}

Komeda, Jiryo ^{[2
]}

机构：

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

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

来源：

SEMIGROUP FORUM | 2015年 / 90卷 / 02期

关键词：

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

D O I：

10.1007/s00233-014-9621-0

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 seven, and prove that all of such numerical semigroups are actually of double covering type.

引用

页码：491 / 502

页数：12

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