Geodesic
A generalization of the Bombieri–Pila determinant method
Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 10, Tome 377 (2010), pp. 63-77 
O. Marmon. A generalization of the Bombieri–Pila determinant method. Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 10, Tome 377 (2010), pp. 63-77. http://geodesic.mathdoc.fr/item/ZNSL_2010_377_a9/
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     title = {A generalization of the {Bombieri{\textendash}Pila} determinant method},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2010_377_a9/}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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. Bibl. 11 titles.

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