A generalization of the Bombieri-Pila determinant method
Number Theory
2010-12-23 v2
Abstract
The so-called determinant method was developed by Bombieri and Pila in 1989 for counting integral points of bounded height on affine plane curves. In this paper we give a generalization of that method to varieties of higher dimension, yielding a proof of Heath-Brown's 'Theorem 14' by real-analytic considerations alone.
Cite
@article{arxiv.0905.4443,
title = {A generalization of the Bombieri-Pila determinant method},
author = {Oscar Marmon},
journal= {arXiv preprint arXiv:0905.4443},
year = {2010}
}
Comments
13 pages