Fonctions L d'Artin et nombre de Tamagawa motiviques
Abstract
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- August 2008
- DOI:
- 10.48550/arXiv.0808.4058
- arXiv:
- arXiv:0808.4058
- Bibcode:
- 2008arXiv0808.4058B
- Keywords:
-
- Mathematics - Algebraic Geometry;
- Mathematics - Number Theory;
- 14G10 14C35 (11M41 12E30 14J45)
- E-Print:
- in french