Fonctions L d'Artin et nombre de Tamagawa motiviques

Details Fonctions L d'Artin et nombre de Tamagawa motiviques Fonctions L d'Artin et nombre de Tamagawa motiviques

2008-08-29

arxiv.org/abs/0808.4058v1

Mathematics

Algebraic Geometry

in french

Scientific paper

In the first part of this text, we define motivic Artin L-fonctions via a motivic Euler product, and show that they coincide with the analogous functions introduced by Dhillon and Minac. In the second part, we define under some assumptions a motivic Tamagawa number and show that it specializes to the Tamagawa number introduced by Peyre in the context of Manin's conjectures about rational points of bounded height on Fano varieties.

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