  We investigate the behaviour of dipolar bosons in two dimensions. We describe
the large density crystalline limit analytically while we use quantum
Monte-Carlo to study the melting toward the Bose-Einstein condensate. We find
strong evidence for a first order transition. We characterize the window of
experimentally accessible parameters in the context of ultracold bosons and
show that observing the quantum melting should be within grasp once one is able
to form cold heteronuclear molecules. Close to the melting, we can not conclude
on the existence of a supersolid phase due to an insufficient overlap of our
variational Bijl-Jastrow Ansatz with the actual ground state.
