Galois lines for the Giulietti-Korchmaros curve

Fukasawa Satoru; Higashine Kazuki

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Galois lines for the Giulietti-Korchmaros curve

机译：Giulietti-Korchmaros曲线的Galois线

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We describe the arrangement of all Galois lines for the Giulietti-Korchmaros curve in the projective 3-space. As an application, we determine the set of all Galois points for a plane model of the GK curve. This curve possesses many Galois points. (C) 2019 Elsevier Inc. All rights reserved.

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《Finite fields and their applications》 |2019年第5期|268-275|共8页
作者
Fukasawa Satoru; Higashine Kazuki;
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作者单位

Yamagata Univ Fac Sci Dept Math Sci Kojirakawa Machi 1-4-12 Yamagata 9908560 Japan;

Yamagata Univ Grad Sch Sci & Engn Kojirakawa Machi 1-4-12 Yamagata 9908560 Japan;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Galois point; Galois line; Giulietti-Korchmaros curve; Automorphism group;

机译：Galois Point;Galois Line;Giulietti-Korchmaros曲线;万能集团;

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专利

1. Galois lines for the Giulietti-Korchmaros curve [J] . Fukasawa Satoru, Higashine Kazuki Finite fields and their applications . 2019,第MAY期

机译：Giulietti-Korchmaros曲线的Galois线
2. A complete characterization of Galois subfields of the generalized Giulietti-Korchmaros function field [J] . Anbar Nurdagul, Bassa Alp, Beelen Peter Finite fields and their applications . 2017,第nova期

机译：广义Giulietti-Korchmaros函数域的Galois子域的完整表征
3. Galois Lines for Normal Elliptic Space Curves [J] . Ma. Cristina Lumakin Duyaguit, Hisao Yoshihara 代数集刊（英文版） . 2005,第002期

机译：法线椭圆空间曲线的Galois线
4. Bezier curves with low density parity check codes over galois field GF (2⁁m) for error recovery in an image [C] . B V Srividya, S Akhila International Conference on Communications and Signal Processing . 2016

机译：在伽罗瓦场GF（2⁁m）上具有低密度奇偶校验码的贝塞尔曲线，用于图像中的错误恢复
5. Galois Module Structure of Weakly Ramified Covers of Curves [D] . Lee, Sugil. 2020

机译：Galois模块结构的弯曲曲线的弱化盖子
6. Learning curves for drug response prediction in cancer cell lines [O] . Alexander Partin, Thomas Brettin, Yvonne A. Evrard, 2021

机译：癌细胞系中药物反应预测的学习曲线
7. Galois lines for space elliptic curve with j=12^3 [O] . Kanazawa, Mitsunori, Yoshihara, Hisao 2014

机译：空间椭圆曲线的伽罗瓦线，j = 12 ^ 3

Galois lines for the Giulietti-Korchmaros curve

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