Fonction zêta des hauteurs des variétés toriques non déployées

Details Fonction zêta des hauteurs des variétés toriques non déployées Fonction zêta des hauteurs des variétés toriques non déployées

2005-01-24

arxiv.org/abs/math/0501409v2

Mathematics

Number Theory

in french ; largely revised and corrected ; in particular we no longer claim that the known conjectural interpretation of the

Scientific paper

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.

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