Geometriae Dedicata

, 139:211

Galois points for a plane curve in arbitrary characteristic

Authors

    • Department of Mathematics, School of Science and EngineeringWaseda University
Original Paper

DOI: 10.1007/s10711-008-9325-2

Cite this article as:
Fukasawa, S. Geom Dedicata (2009) 139: 211. doi:10.1007/s10711-008-9325-2

Abstract

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.

Keywords

Galois pointPlane curve

Mathematics Subject Classification (2000)

14H5012F1014H05
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Copyright information

© Springer Science+Business Media B.V. 2008