  A long flexible neutral polymer chain immersed in a poor solvent and
interacting with an impenetrable attractive surface exhibits a phase known as
surface attached globule ({\bf SAG}) in addition to other adsorbed and desorbed
phases. In the thermodynamic limit, the {\bf SAG} phase has the same free
energy per monomer as the globular phase, and the transition between them is a
surface transition. We have investigated the phase diagrams of such a chain in
both two- and three- dimensions and calculated the distribution of monomers in
different domains of the phase diagram.
