Geometriae Dedicata

, Volume 127, Issue 1, pp 131–137

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

Original Paper

DOI: 10.1007/s10711-007-9170-8

Cite this article as:
Fukasawa, S. Geom Dedicata (2007) 127: 131. doi:10.1007/s10711-007-9170-8

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 

Mathematics Subjects Classification (2000)

12F10 14H05 14H50 

Copyright information

© Springer Science + Business Media B.V. 2007

Authors and Affiliations

  1. 1.Department of Mathematics, Graduate School of ScienceHiroshima UniversityHigashi-HiroshimaJapan
  2. 2.Department of Mathematics, School of Science and EngineeringWaseda UniversityTokyoJapan

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