The density of rational points on Cayley's cubic surface
Number Theory
2007-05-23 v1
Abstract
The Cayley cubic surface is given by the equation sum_{i=1}^4 X_i^{-1}=0. We show that the number of non-trivial primitive integer points of size at most B is of exact order B(log B)^6, as predicted by Manin's conjecture.
Cite
@article{arxiv.math/0210333,
title = {The density of rational points on Cayley's cubic surface},
author = {D. R. Heath-Brown},
journal= {arXiv preprint arXiv:math/0210333},
year = {2007}
}
Comments
29 pages