most citedArithmetic cohomology over finite fields and special values of zeta-functions

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math.NT2004★ 1 cited

Arithmetic cohomology over finite fields and special values of zeta-functions

Thomas H. Geisser

We construct a cohomology theory with compact support H^i_c(X_ar,Z(n))$ for separated schemes of finite type over a finite field, which should play a role analog to Lichtenbaum's W…

math.NT2004★ 1 cited

Weil-etale cohomology over finite fields

Thomas H. Geisser

We calculate the total derived functor for the map from the Weil-etale site introduced by Lichtenbaum to the etale site for varieties over finite fields. In particular, there is a…

math.NT2002★ 1 cited

Weil-etale motivic cohomology

Thomas H. Geisser

We study Weil-etale cohomology, introduced by Lichtenbaum for varieties over finite fields. In the first half of the paper we give an explicit description of the base change from W…