Article ID Journal Published Year Pages File Type
4582682 Finite Fields and Their Applications 2016 7 Pages PDF
Abstract

We study the relationship between rational points and Galois points for a plane curve over a finite field. It is known that the set of Galois points coincides with that of rational points of the projective plane if the curve is the Hermitian, Klein quartic or Ballico–Hefez curve. The author proposes a problem: Does the converse hold true? If the curve of genus zero or one has a rational point, we have an affirmative answer.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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