Manin's conjecture for a cubic surface with 2A_2+A_1 singularity type
Number Theory
2015-05-28 v1 Algebraic Geometry
Abstract
We establish Manin's conjecture for a cubic surface split over Q and whose singularity type is 2A_2+A_1. For this, we make use of a deep result about the equidistribution of the values of a certain restricted divisor function in three variables in arithmetic progressions. This result is due to Friedlander and Iwaniec (and was later improved by Heath-Brown) and draws on the work of Deligne.
Cite
@article{arxiv.1105.3495,
title = {Manin's conjecture for a cubic surface with 2A_2+A_1 singularity type},
author = {Pierre Le Boudec},
journal= {arXiv preprint arXiv:1105.3495},
year = {2015}
}
Comments
34 pages