  The conventional point-to-point setting of a Quantum Key Distribution (QKD)
protocol typically considers two directly connected remote parties that aim to
establish secret keys. This work proposes a natural generalization of a
well-established point-to-point discrete-modulated continuous-variable (CV) QKD
protocol to the point-to-multipoint setting. We explore four different trust
levels among the communicating parties and provide secure key rates for the
loss-only channel and the lossy \& noisy channel in the asymptotic limit. Our
study shows that discrete-modulated CV-QKD is a suitable candidate to connect
several dozens of users in a point-to-multipoint network, achieving high rates
at a reduced cost, using off-the-shelf components employed in modern
communication infrastructure.
