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

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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.

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Author notes

  1. Satoru Fukasawa

    Present address: Department of Mathematics, School of Science and Engineering, Waseda University, Ohkubo 3-4-1, Shinjuku, Tokyo, 169-8555, Japan

Authors and Affiliations

  1. Department of Mathematics, Graduate School of Science, Hiroshima University, Kagamiyama 1-3-1, Higashi-Hiroshima, 739-8526, Japan

    Satoru Fukasawa

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  1. Satoru Fukasawa
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Correspondence to Satoru Fukasawa.

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Fukasawa, S. On the number of Galois points for a plane curve in positive characteristic, II. Geom Dedicata 127, 131–137 (2007). https://doi.org/10.1007/s10711-007-9170-8

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  • DOI: https://doi.org/10.1007/s10711-007-9170-8

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