Weierstrass semigroups on the Giulietti-Korchmaros curve

被引：6

作者：

Beelen, Peter ^{[1
]}

Montanucci, Maria ^{[2
]}

机构：

[1] Tech Univ Denmark, Dept Appl Math & Comp Sci, Matemat Torvet 303B, DK-2800 Lyngby, Denmark

[2] Univ Basilicata, Dipartimento Matemat Informat & Econ, Campus Macchia Romana,Viale Ateneo Lucano 10, I-85100 Potenza, Italy

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2018年 / 52卷

关键词：

Giulietti-Korchmaros maximal curve; Weierstrass semigroup; Weierstrass points; MAXIMAL CURVES; FINITE-FIELDS; POINTS; CODES;

D O I：

10.1016/j.ffa.2018.03.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we explicitly determine the structure of the Weierstrass semigroups H(P) for any point P of the Giulietti Korchmaros curve chi. We show that as the point varies, exactly three possibilities arise: one for the F-q2-rational points (already known in the literature), one for the F-q6\F-q2-rational points, and one for all remaining points. As a result, we prove a conjecture concerning the structure of H(P) in case P is an F-q6\F-q2-rational point. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：10 / 29

页数：20

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