The Bombieri-Pila determinant method

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

References in corpus (2)

• The dimension growth conjecture, polynomial in the degree and without logarithmic factors
• Application of a polynomial sieve: beyond separation of variables