A generalization of the Bombieri-Pila determinant method
Artikel i vetenskaplig tidskrift, 2010

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.

determinantmetoden

heltalspunkter

rationella punkter

Författare

Oscar Marmon

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Matematik

Journal of Mathematical Sciences

1072-3374 (ISSN)

Vol. 171 6 736-744

Ämneskategorier

Matematik

Fundament

Grundläggande vetenskaper

DOI

10.1007/s10958-010-0178-5