For a cuspidal automorphic representation of GL2/Q associated to a modular
form, the local and global Langlands correspondences are compatible at all
finite places of Q. On the p-adic Coleman-Mazur eigencurve this principle can
fail (away from p) under one of two conditions: on a generically principal
series component where monodromy vanishes; or on a generically special
component where the ratio of the Satake parameters degenerates. We prove, under
mild restrictive hypotheses, that such points are the intersection of
generically principal series and special components. This is a geometric
analogue of Ribet's level raising and lowering theorems.