Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4582682 | Finite Fields and Their Applications | 2016 | 7 Pages |
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
Satoru Fukasawa,