Manin's conjecture for a certain singular cubic surface
Number Theory
2007-05-23 v1 Algebraic Geometry
Abstract
We prove Manin's conjecture for a singular cubic surface S with a singularity of type E6. If U is the open subset of S obtained by deleting the unique line from S, then the number of rational points in U with anticanonical height bounded by B behaves asymptotically as cB(log B)^6, where the constant c agrees with the one conjectured by Peyre.
Keywords
Cite
@article{arxiv.math/0504016,
title = {Manin's conjecture for a certain singular cubic surface},
author = {Ulrich Derenthal},
journal= {arXiv preprint arXiv:math/0504016},
year = {2007}
}
Comments
18 pages