Galois points for a plane curve in characteristic two

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• 作者：Satoru Fukasawa
• 关键词：14H50 ; 12F10 ; 14H05
• 刊名：Journal of Pure and Applied Algebra
• 出版年：February, 2014
• 年：2014
• 卷：218
• 期：2
• 页码：343-353
• 全文大小：426 K

文摘

Let be an irreducible plane curve. A point in the projective plane is said to be Galois with respect to if the function field extension induced by the projection from is Galois. We denote by the number of Galois points contained in . In this article we will present two results with respect to determination of in characteristic two. First we determine for smooth plane curves of degree a power of two. In particular, we give a new characterization of the Klein quartic in terms of . Second we determine for a generalization of the Klein quartic, which is related to an example of Artin-Schreier curves whose automorphism group exceeds the Hurwitz bound. This curve has many Galois points.