Title: The Berkovich realization for rigid analytic motives,
Abstract: We prove that the functor associating to a rigid analytic variety the
singular complex of the underlying Berkovich topological space is motivic, and
defines the maximal Artin quotient of a motive. We use this to generalize
Berkovich's results on the weight-zero part of the étale cohomology of a
variety defined over a non-archimedean valued field.