Fonction z\^eta des hauteurs des vari\'et\'es toriques non d\'eploy\'ees
Number Theory
2007-07-17 v2
Abstract
We investigate the anticanonical height zeta function of a (non necessarily split) toric variety defined over a global field of positive characteristic, drawing our inspiration from the method used by Batyrev and Tschinkel to deal with the analogous problem over a number field. By the way, we give a detailed account of their method.
Keywords
Cite
@article{arxiv.math/0501409,
title = {Fonction z\^eta des hauteurs des vari\'et\'es toriques non d\'eploy\'ees},
author = {David Bourqui},
journal= {arXiv preprint arXiv:math/0501409},
year = {2007}
}
Comments
in french ; largely revised and corrected ; in particular we no longer claim that the known conjectural interpretation of the main term of the height zeta function is not valid for every toric variety defined over a global field of positive characteristic