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

共 39 条

[1] Numerical semigroups of genus eight and double coverings of curves of genus three
Takeshi Harui
Jiryo Komeda
Semigroup Forum, 2014, 89 : 571 - 581
[2] Numerical semigroups of genus six and double coverings of curves of genus three
Takeshi Harui
Jiryo Komeda
Semigroup Forum, 2015, 91 : 601 - 610
[3] Numerical semigroups of genus six and double coverings of curves of genus three
Harui, Takeshi
Komeda, Jiryo
SEMIGROUP FORUM, 2015, 91 (03) : 601 - 610
[4] Numerical semigroups of genus seven and double coverings of curves of genus three
Takeshi Harui
Jiryo Komeda
Semigroup Forum, 2015, 90 : 491 - 502
[5] Numerical semigroups of genus seven and double coverings of curves of genus three
Harui, Takeshi
Komeda, Jiryo
SEMIGROUP FORUM, 2015, 90 (02) : 491 - 502
[6] On Weierstrass semigroups of double coverings of genus three curves
Komeda, Jiryo
SEMIGROUP FORUM, 2011, 83 (03) : 479 - 488
[7] On Weierstrass semigroups of double covering of genus two curves
Oliveira, Gilvan
Pimentel, Francisco L. R.
SEMIGROUP FORUM, 2008, 77 (02) : 152 - 162
[8] On Weierstrass semigroups of double covering of genus two curves
Gilvan Oliveira
Francisco L. R. Pimentel
Semigroup Forum, 2008, 77 : 152 - 162
[9] BOUNDS FOR THE GENUS OF NUMERICAL SEMIGROUPS
Leher, Eli
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2008, 4 (05) : 827 - 834
[10] Counting numerical semigroups by genus and even gaps
Bernardini, Matheus
Torres, Fernando
DISCRETE MATHEMATICS, 2017, 340 (12) : 2853 - 2863

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