Massive type 0A string theory and M-theory

We propose an M-theory origin for the two massive deformations of type 0A string theory by extending Hull's realization of massive type IIA in the context of a recent proposal for massless type 0A from M-theory. We introduce an M-theory setup that we call quantum fibration, in which two independent integral monodromies yield the Romans masses, T-dual to the two Chern numbers of the quantum fibration. A key ingredient is a formulation of the type 0B duality group in terms of a marked elliptic curve. We discuss further implications of this description and some puzzles concerning the M-theory origin of branes and Chern--Simons terms.