Manin's conjecture for a quartic del Pezzo surface with A_3 singularity and four lines
Number Theory
2013-08-01 v3 Algebraic Geometry
Abstract
We establish Manin's conjecture for a quartic del Pezzo surface split over Q and having a singularity of type A_3 and containing exactly four lines. It is the first example of split singular quartic del Pezzo surface whose universal torsor is not a hypersurface for which Manin's conjecture is proved.
Cite
@article{arxiv.1011.2470,
title = {Manin's conjecture for a quartic del Pezzo surface with A_3 singularity and four lines},
author = {Pierre Le Boudec},
journal= {arXiv preprint arXiv:1011.2470},
year = {2013}
}
Comments
Final version