Rational Points on the Fermat Cubic Surface
Number Theory
2014-02-04 v1 Algebraic Geometry
Abstract
We prove a lower bound that agrees with Manin's prediction for the number of rational points of bounded height on the Fermat cubic surface. As an application we provide a simple counterexample to Manin's conjecture over the rationals.
Cite
@article{arxiv.1402.0303,
title = {Rational Points on the Fermat Cubic Surface},
author = {Efthymios Sofos},
journal= {arXiv preprint arXiv:1402.0303},
year = {2014}
}