We study, within Ginzburg-Landau theory, the equilibrium properties ofa color superconductor of three-flavor massless quarks near the transitiontemperature. We first draw the phase diagram in the space of theparameters controlling the thermodynamic-potential terms of fourth orderin the pairing gap. Within the color and flavor antitriplet channel withzerototal angular momentum, the phase diagram contains the color-flavor lockedand two-flavor pairing phases; the limit of weak coupling is included in thecolor-flavor locked phase. The responses of the color-flavor locked andtwo-flavor condensates to external magnetic fields and rotation are theninvestigated by calculating the induced supercurrents. We finally discussthe effects of fluctuations in gauge fields and order parameters on thefinite temperature phase transition.