In clean enough samples of the high-T-c oxide materials, the phase tra
nsition into the superconducting state occurs along a first-order line
in the H-T plane. This means that a two-phase region occurs in the B-
T plane, in which the liquid and solid vortex phases coexist. We discu
ss the thermodynamics of this two-phase region, developing formulae re
lating experimental quantities of interest. We then apply the 3D XY sc
aling theory to the problem, obtaining detailed predictions for the bo
undaries of the coexistence region. By using published data, we are ab
le to predict the width of the two-phase region, and determine the phy
sical parameters involved in the 3D XY description.