Weierstrass semigroups and nodal curves of type p, q

被引：5
|
作者：
Knebl, H. [1 ]
Kunz, E. [2 ]
Waldi, R. [2 ]
机构：
[1] Georg Simon Ohm Hsch Nurnberg, Fak Informat, D-90489 Nurnberg, Germany
[2] Univ Regensburg, Fak Math, D-93053 Regensburg, Germany
来源：
JOURNAL OF ALGEBRA | 2011年 / 348卷 / 01期
关键词：
Weierstrass semigroups; Nodal curves of type p; q; Algebraic curves; Riemann surfaces; NUMERICAL SEMIGROUPS; GAP SEQUENCES; EXISTENCE; POINTS;
D O I：
10.1016/j.jalgebra.2011.08.036
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study plane curves of type p, q having only nodes as singularities. Every Weierstrass semigroup is the Weierstrass semigroup of such a curve at its place at infinity for properly chosen p, q. We construct plane curves of type p,q with explicitly given nodes and determine their Weierstrass semigroups. Many such semigroups are found. (C) 2011 Elsevier Inc. All rights reserved.
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页码：315 / 335
页数：21
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