On maximal curves which are not Galois subcovers of the Hermitian curve

被引：0
作者：
Iwan Duursma
Kit-Ho Mak
机构：
[1] University of Illinois at Urbana-Champaign,Department of Mathematics
[2] Georgia Institute of Technology,School of Mathematics
来源：
Bulletin of the Brazilian Mathematical Society, New Series | 2012年 / 43卷
关键词：
maximal curves; generalized GK curves; Galois coverings; Primary: 11G20; Secondary: 14G15, 14H25;
D O I：
暂无
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学科分类号：
摘要：
We show that the generalized Giulietti-Korchmáros curve defined over \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb{F}_{q^{2n} }$$\end{document}, for n ≥ 3 odd and q ≥ 3, is not a Galois subcover of the Hermitian curve over \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb{F}_{q^{2n} }$$\end{document}. This answers a question raised by Garcia, Güneri and Stichtenoth.
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页码：453 / 465
页数：12
相关论文
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