Affine congruences and rational points on a certain cubic surface
Number Theory
2016-01-20 v2 Algebraic Geometry
Abstract
We establish estimates for the number of solutions of certain affine congruences. These estimates are then used to prove Manin's conjecture for a cubic surface split over Q and whose singularity type is D_4. This improves on a result of Browning and answers a problem posed by Tschinkel.
Cite
@article{arxiv.1207.2685,
title = {Affine congruences and rational points on a certain cubic surface},
author = {Pierre Le Boudec},
journal= {arXiv preprint arXiv:1207.2685},
year = {2016}
}