  The predictions of the mode-coupling theory (MCT) for the dynamical arrest
scenarios in a partly pinned (PP) fluid system are reported. The corresponding
dynamical phase diagram is found to be very similar to that of a related
quenched-annealed (QA) system. The only significant qualitative difference lies
in the shape of the diffusion-localization lines at high matrix densities, with
a re-entry phenomenon for the PP system but not for the QA model, in full
agreement with recent computer simulation results. This finding clearly lends
support to the predictive power of the MCT for fluid-matrix systems. Finally,
the predictions of the MCT are shown to be in stark contrast with those of the
random first-order transition theory. The PP systems are thus confirmed as very
promising models for tests of theories of the glass transition.
