Integral motives and special values of zeta functions

Milne, James¹ ; Ramachandran, Niranjan²

¹ 2679 Bedford Road, Ann Arbor, Michigan 48104
² Department of Mathematics, University of Maryland, College Park, Maryland 20742

Journal of the American Mathematical Society, Tome 17 (2004) no. 3, pp. 499-555

Résumé

For each field $k$, we define a category of rationally decomposed mixed motives with $\mathbb {Z}$-coefficients. When $k$ is finite, we show that the category is Tannakian, and we prove formulas relating the behaviour of zeta functions near integers to certain $\operatorname {Ext}$ groups.

Détail

DOI : 10.1090/S0894-0347-04-00458-8

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