THE WEIERSTRASS SEMIGROUPS ON DOUBLE COVERS OF GENUS TWO CURVES

被引：0

作者：

Harui, Takeshi ^{[1
]}

Komeda, Jiryo ^{[2
]}

Ohbuchi, Akira ^{[3
]}

机构：

[1] Kogakuin Univ, Acad Support Ctr, 2665-1 Nakano, Hachioji, Tokyo 1920015, Japan

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

[3] Tokushima Univ, Fac Integrated Arts & Sci, Dept Math, Tokushima, Tokushima 7708502, Japan

来源：

TSUKUBA JOURNAL OF MATHEMATICS | 2015年 / 38卷 / 02期

关键词：

Numerical semigroup; Weierstrass semigroup; Double cover of a curve; Curve of genus two;

D O I：

10.21099/tkbjm/1429103721

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that three numerical semigroups < 5; 6; 7; 8 >, < 3; 7; 8 > and < 3; 5 > are of double covering type, i.e., the Weierstrass semigroups of ramification points on double covers of curves. Combining the result with [7] and [4] we can determine the Weierstrass semigroups of the ramification points on double covers of genus two curves.

引用

页码：201 / 206

页数：6

共 7 条

[1] Harui T., NUMERICAL SEMIGROUPS, DOI [10.1007/s00233-014-9590-3, DOI 10.1007/S00233-014-9590-3]
[2] Komeda J, 1997, ACTA ARITH, V81, P275
[3] KOMEDA J, 1983, J REINE ANGEW MATH, V341, P68
[4] Komeda J., 2008, SERDICA MATH J, V34, P771
[5] On Weierstrass semigroups of double coverings of genus three curves
Komeda, Jiryo
[J]. SEMIGROUP FORUM, 2011, 83 (03) : 479 - 488
[6] On Weierstrass semigroups of double covering of genus two curves
Oliveira, Gilvan
Pimentel, Francisco L. R.
[J]. SEMIGROUP FORUM, 2008, 77 (02) : 152 - 162
[7] [No title captured]

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