On the Number of Galois Points for a Plane Curve in Positive Characteristic |
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| Authors: | Satoru Fukasawa |
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| Institution: | 1. Department of Mathematical Sciences, School of Science and Engineering , Waseda University , Shinjuku, Tokyo, Japan s.fukasawa@kurenai.waseda.jp |
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| Abstract: | We study Galois points for a plane smooth curve C ? P 2 of degree d ≥ 4 in characteristic p > 2. We generalize Yoshihara's result on the number of inner (resp., outer) Galois points to positive characteristic under the assumption that d ? 1 (resp., d ? 0) modulo p. As an application, we also find the number of Galois points in the case that d = p. |
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| Keywords: | Galois point Plane curve Positive characteristic |
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