A generalization of the Bombieri–Pila determinant method
- 92 Downloads
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. Bibliography: 11 titles.
KeywordsHigh Dimension Rational Point Integral Point Projective Variety Plane Curf
Unable to display preview. Download preview PDF.
- 1.J. Bohnak, M. Coste,and M.-F. Roy, Géométrie Algébrique Réelle, Springer-Verlag, Berlin (1987).Google Scholar