Motivic Artin L-functions and a motivic Tamagawa number

作者：Bourqui David^*

来源：The New York Journal of Mathematics, 2010, 16: 179-233.

• Motivic Artin L-function
• Tamagawa number
• motivic Tamagawa number
• motivic Euler product
• height zeta function

(Motivic Artin L-functions and a motivic Tamagawa number) 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 functions introduced by Dhillon and Minac, 2006. In the second part, we define under some assumptions the motivic Tamagawa number of a constant family 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.

• 出版日期2010