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arXiv · 0905.4443

A generalization of the Bombieri-Pila determinant method

Oscar Marmon
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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.

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Oscar Marmon. 2010-12-22. A generalization of the Bombieri-Pila determinant method. https://doi.org/10.1007/s10958-010-0178-5

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