A Conjecture of Deligne on One-motives

  title={A Conjecture of Deligne on One-motives},
  author={Niranjan Ramachandran},
We introduce new motivic invariants of schemes over a perfect field. These cohomological invariants take values in the category of 1-motives (considered up to isogeny). The algebraic definition of these invariants presented here proves a isogeny version of a conjecture of Deligne. We also present an application to the independence of l of parts of the étale cohomology of arbitrary schemes over finite fields. Version II: Submitted for publication 19 June 1998