On the number of Galois points for a plane curve in positive characteristic,II期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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On the number of Galois points for a plane curve in positive characteristic,II

Authors:	Satoru Fukasawa

Institution:	(1) Department of Mathematics, Graduate School of Science, Hiroshima University, Kagamiyama 1-3-1, Higashi-Hiroshima 739-8526, Japan;(2) Present address: Department of Mathematics, School of Science and Engineering, Waseda University, Ohkubo 3-4-1, Shinjuku, Tokyo 169-8555, Japan

Abstract:	For a smooth plane curve $C \subset {\mathbf{P}}^2$ , we call a point $P \in {\mathbf{P}}^2$ a Galois point if the point projection $\pi_P:C \rightarrow {\mathbf{P}}^1$ at P is a Galois covering. We study Galois points in positive characteristic. We give a complete classification of the Galois group given by a Galois point and estimate the number of Galois points for C in most cases.

Keywords:	Galois point Positive characteristic Plane curve
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