etale cohomology of curves

Punctured disks and punctured curves and cohomology, oh my! (Part I: the proper curve case)

This is the first in a series of posts whose goal is to compute the cohomology of the (several times) punctured closed p-adic disk \mathbb{B}_{\mathbb{C}_p}-\{p_1,\ldots,p_m\} as well as the cohomology of smooth (and some non-smooth) algebraic curves.