%0 Journal Article
%T One-motives and a conjecture of Deligne
%A Niranjan Ramachandran
%J Mathematics
%D 1998
%I arXiv
%R 10.1090/S1056-3911-03-00370-9
%X We introduce new motivic invariants of arbitrary varieties over a perfect field. These cohomological invariants take values in the category of one-motives (considered up to isogeny in positive characteristic). The algebraic definition of these invariants presented here proves a conjecture of Deligne. Applications include some cases of conjectures of Serre, Katz and Jannsen on the independence of $\ell$ of parts of the \'etale cohomology of arbitrary varieties over number fields and finite fields.
%U http://arxiv.org/abs/math/9806117v3