This is a continuation of this post.
This is the first in a series of posts whose goal is to compute the cohomology of the (several times) punctured closed -adic disk as well as the cohomology of smooth (and some non-smooth) algebraic curves.
In this post we compute the Galois representation where is the natural inclusion and is the inclusion of the origin.
In this post we compute the group where is a number field.
In this post we compute the compactly supported cohomology of some simple varieties.