# zbMATH — the first resource for mathematics

On the cohomology of integral $$l$$-adic sheaves over local fields. (Sur la cohomologie des faisceaux $$l$$-adiques entiers sur les corps locaux.) (French) Zbl 1216.14016
Summary: We study the behavior of integral $$l$$-adic sheaves on schemes of finite type over a local field under the six operations and the nearby cycle functor.

##### MSC:
 14F20 Étale and other Grothendieck topologies and (co)homologies 14G20 Local ground fields in algebraic geometry 11G25 Varieties over finite and local fields 14D05 Structure of families (Picard-Lefschetz, monodromy, etc.)
##### Keywords:
integrality; $$l$$-adic cohomology; nearby cycles
Full Text: