On Manin's conjecture for a certain singular cubic surface
Number Theory
2007-05-23 v3 Algebraic Geometry
Abstract
Let U denote the open subset formed by deleting the unique line from the singular cubic surface x_1x_2^2+x_2x_0^2+x_3^3=0. In this paper an asymptotic formula is obtained for the number of rational points on U of bounded height, which thereby verifies the Manin conjecture for this particular surface.
Cite
@article{arxiv.math/0509370,
title = {On Manin's conjecture for a certain singular cubic surface},
author = {R. de la Breteche and T. D. Browning and U. Derenthal},
journal= {arXiv preprint arXiv:math/0509370},
year = {2007}
}
Comments
48 pages