Calculations in etale cohomology, by Bruno Kahn

We prove some finiteness theorems for the \'etale cohomology, Borel-Moore homology and cohomology with proper supports of schemes of finite type over a finite or p-adic field. This yields vanishing results for their l-adic cohomology, proving part of a conjecture of Jannsen.


Bruno Kahn <kahn@math.jussieu.fr>