Numerical semigroups of genus six and double coverings of curves of genus three
Numerical semigroups of genus six and double coverings of curves of genus three
复制标题
六格数值半群和三格曲线的双重覆盖
DOI：
10.1007/s00233-014-9671-3
复制
发表时间：
2015
期刊：
影响因子：
0.7
通讯作者：
Jiryo Komeda
中科院分区：
文献类型：
--
作者：
Takeshi Harui;Jiryo Komeda
本文是作者关于亏格为三的代数曲线的双覆盖的分歧点上的Weierstrass半群的前几篇论文的续篇。本文给出了覆盖曲线亏格为6时可能的数值半群的列表，并证明了所有这类半群实际上都是双覆盖型的。这一结果完成了由亏格为3的曲线的分歧双重覆盖得到的双重覆盖型数值半群的一个分类。
This is a sequel of previous papers of the authors on Weierstrass semigroups at ramification points of double coverings of algebraic curves of genus three. In this paper they give a list of possible numerical semigroups when the covering curve is of genus six and show that all of such semigroups are actually of double covering type. This result completes a classification of numerical semigroups of double covering type obtained by ramified double coverings of curves of genus three.