Hi Giulia,
Generally, the Hallmark collection gene sets represent the genes that were most transcriptionally responsive to perturbations of the annotated process. They are not a comprehensive list of all genes involved, simply those that, in the data that was used to construct the set, represented the best markers.
Unfortunately, due to the nature of the computational approach that was used in the construction and refinement of the Hallmark gene sets (as described in the associated publication, linked on the collection information page), I can't really comment on the inclusion or exclusion of specific genes.
Sorry I couldn't be of more help here
-Anthony
Anthony S. Castanza, PhD
Curator, Molecular Signatures Database
Mesirov Lab, Department of Medicine
University of California, San Diego