arXiv Analytics

Sign in

arXiv:1407.0105 [math.AG]AbstractReferencesReviewsResources

Rational points and Galois points for a plane curve over a finite field

Satoru Fukasawa

Published 2014-07-01, updated 2014-07-22Version 2

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 curves. We propose a problem: Does the converse hold true? When the curve of genus at most one has a rational point, we will have an affirmative answer.

Comments: 7 pages
Categories: math.AG, math.CO
Subjects: 14H50, 12F10, 14G05
Related articles: Most relevant | Search more
arXiv:0907.1325 [math.AG] (Published 2009-07-08, updated 2014-01-18)
Sziklai's conjecture on the number of points of a plane curve over a finite field II
arXiv:0907.2529 [math.AG] (Published 2009-07-15, updated 2010-01-07)
Weak Approximation over Function Fields of Curves over Large or Finite Fields
arXiv:1109.2223 [math.AG] (Published 2011-09-10, updated 2014-04-11)
Singular curves over a finite field and with many points

Links

Toolbox