Original Paper

Geometriae Dedicata

, Volume 139, Issue 1, pp 211-218

First online:

Galois points for a plane curve in arbitrary characteristic

  • Satoru FukasawaAffiliated withDepartment of Mathematics, School of Science and Engineering, Waseda University Email author 

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In 1996, Hisao Yoshihara introduced a new notion in algebraic geometry: a Galois point for a plane curve is a point from which the projection induces a Galois extension of function fields. Yoshihara has established various new approaches to algebraic geometry by using Galois point or generalized notions of it. It is an interesting problem to determine the distribution of Galois points for a given plane curve. In this paper, we survey recent results related to this problem.


Galois point Plane curve

Mathematics Subject Classification (2000)

14H50 12F10 14H05