paper

The Bombieri-Pila determinant method

arXiv:2312.12890 · doi:10.2140/ent.2025.4.327

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.

19 pages

The Bombieri-Pila determinant method · wovepaper