arXiv:1208.5610 [math.NT]AbstractReferencesReviewsResources
Rational points on curves over function fields
Amilcar Pacheco, Fabien Pazuki
Published 2012-08-28, updated 2013-03-31Version 3
We provide in this paper an upper bound for the number of rational points on a curve defined over a one variable function field over a finite field. The bound only depends on the curve and the field, but not on the Jacobian variety of the curve.
Related articles: Most relevant | Search more
arXiv:math/0409286 [math.NT] (Published 2004-09-16)
Appendix to ``Deligne's integrality theorem in unequal characteristic and rational points over finite fields'' by Hélène Esnault
The distribution of the number of points modulo an integer on elliptic curves over finite fields
arXiv:0903.2520 [math.NT] (Published 2009-03-14)
On Point Sets in Vector Spaces over Finite Fields That Determine Only Acute Angle Triangles