Weil-étale cohomology

In (date), a new Grothendieck topology was introduced by S. Lichtenbaum, defined on the category of schemes of finite type over a finite field. Its construction bears the same relation to the étale topology as the Weil group does to the Galois group.

References

• Lichtenbaum, Stephen. (date) The Weil-Étale Topology, (preprint?).
• Lichtenbaum, Stephen. (2005) The Weil-Étale Topology for Number Rings, (preprint?).
• Geisser, Thomas. Weil-Étale Cohomology over Finite Fields
• Geisser, Thomas. Motivic Weil-Étale Cohomology