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A generalization of the Bombieri-Pila determinant method

Oscar Marmon (Institutionen för matematiska vetenskaper, matematik)
Zapiski Nauchnykh Seminarov POMI (0373-2703 ). Vol. 377 (2010), p. 63-77.
[Artikel, refereegranskad vetenskaplig]

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.

Nyckelord: rationella punkter, heltalspunkter, determinantmetoden



Denna post skapades 2011-01-07.
CPL Pubid: 132567

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Algebra och geometri

Chalmers infrastruktur