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

Voir la notice de l'article 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. 
@article{ZNSL_2010_377_a9,
     author = {O. Marmon},
     title = {A generalization of the {Bombieri--Pila} determinant method},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {63--77},
     publisher = {mathdoc},
     volume = {377},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2010_377_a9/}
}
TY  - JOUR
AU  - O. Marmon
TI  - A generalization of the Bombieri--Pila determinant method
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2010
SP  - 63
EP  - 77
VL  - 377
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2010_377_a9/
LA  - en
ID  - ZNSL_2010_377_a9
ER  - 
%0 Journal Article
%A O. Marmon
%T A generalization of the Bombieri--Pila determinant method
%J Zapiski Nauchnykh Seminarov POMI
%D 2010
%P 63-77
%V 377
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_2010_377_a9/
%G en
%F ZNSL_2010_377_a9
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/