We study the ground state of a classical X-Y model with p greater than
or equal to 3-fold spin anisotropy D in a uniform external field, H.
An interface is introduced into the system by a suitable choice of bou
ndary conditions. For large D, as H --> 0, we show using an expansion
in D-1 that the interface unbinds from the surface through an infinite
series of layering transitions. Numerical work shows that the transit
ions end in a sequence of critical end points.