The Bombieri-Pila determinant method
Number Theory
2025-07-29 v3 Algebraic Geometry
Combinatorics
Abstract
We give a concise and accessible introduction to the real-analytic determinant method for counting integral points on algebraic curves, based on the classic 1989 paper of Bombieri and Pila.
Cite
@article{arxiv.2312.12890,
title = {The Bombieri-Pila determinant method},
author = {Thomas F. Bloom and Jared Duker Lichtman},
journal= {arXiv preprint arXiv:2312.12890},
year = {2025}
}
Comments
19 pages