Counting rational points on smooth cubic curves
Number Theory
2018-05-03 v2 Algebraic Geometry
Abstract
We use a global version of Heath-Brown's adic determinant method developed by Salberger to give upper bounds for the number of rational points of height at most on non-singular cubic curves defined over . The bounds are uniform in the sense that they only depend on the rank of the corresponding Jacobian.
Cite
@article{arxiv.1605.07856,
title = {Counting rational points on smooth cubic curves},
author = {Manh Hung Tran},
journal= {arXiv preprint arXiv:1605.07856},
year = {2018}
}
Comments
10 pages. Comments are welcome