Cosmological future singularities in interacting dark energy models

The existence of interactions between dark matter and dark energy has been widely studied, since they can fit well the observational data and may provide new physics through such an interaction. In this work, we analyze these models and investigate their potential relation with future cosmological singularities. We find that every future singularity found in the literature can be mapped into a singularity of the interaction term, that we call the $Q$ singularity, where the energy flow between the dark components diverges. Furthermore, this framework allows us to identify a new type of future singularity induced by the divergence of the first derivative of the dark energy equation of state parameter.