Weil-étale cohomology

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Revision as of 13:39, 9 December 2007 by imported>Giovanni Antonio DiMatteo (link)
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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.

The Weil-étale site

Weil-étale sheaves and cohomology

The Lichtenbaum conjectures

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