Weil-étale cohomology: Difference between revisions

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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 morphism|étale topology]] as the [[Weil group]] does to the [[Galois group]].  
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 morphism|étale topology]] as the [[Weil group]] does to the [[Galois group]].  


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* Geisser, Thomas. ''Weil-Étale Cohomology over Finite Fields''
* Geisser, Thomas. ''Weil-Étale Cohomology over Finite Fields''
* Geisser, Thomas. ''Motivic Weil-Étale Cohomology''
* Geisser, Thomas. ''Motivic Weil-Étale Cohomology''
[[Category:CZ Live]]
[[Category:Stub Articles]]
[[Category:Mathematics Workgroup]]

Revision as of 01:26, 24 December 2007

This article is a stub and thus not approved.
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This editable Main Article is under development and subject to a disclaimer.

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