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

Zheng, Weizhe

Bull. Soc. Math. Fr. 136, No. 3, 465-503 (2008).

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