Manin's conjecture for a singular quartic del Pezzo surface
Number Theory
2014-02-26 v2
Abstract
We prove Manin's conjecture for a split singular quartic del Pezzo surface with singularity type and eight lines. This is achieved by equipping the surface with a conic bundle structure. To handle the sum over the family of conics, we prove a result of independent interest on a certain restricted divisor problem for four binary linear forms.
Cite
@article{arxiv.1109.6253,
title = {Manin's conjecture for a singular quartic del Pezzo surface},
author = {Daniel Loughran},
journal= {arXiv preprint arXiv:1109.6253},
year = {2014}
}