  We review the issue of gauge and gravitational anomalies with backgrounds,
maybe offering a new outlook on some aspects of these questions.
  We compute the holographic anomalies of hypothetical theories dual, in the
sense of the AdS-CFT correspondence, to Chern-Simons AdS gravities. Those
anomalies are either gauge anomalies associated to the AdS gauge group of the
theory or diffeomorphism anomalies, with each kind related to the other.
  As a result of using suitable action principles por Chern-Simons AdS
gravities, coming from Transgression forms, we obtain finite results without
the need for further regularization.
  Our results are of potential interest for Lovelock gravity theories, as it
has been shown that the boundary terms dictated by the transgressions for
Chern-Simons gravities are also suitable to regularize Lovelock theories. The
Wess-Zumino consistency condition ensures that anomalies of the generic form
computed here should appear for these and other theories.
