CV stands for Capacitance Voltage. The capacitor in CV Profiling is formed either via a metal contact to the silicon, creating a back-biased Schottky diode or by a conductive electrode on an oxide on the silicon. The bulk silicon is the other side of the capacitor.
As the voltage on the capacitor changes, and the semiconductor surface goes into depletion. If the voltage changes slowly (or if the semiconductor is exposed to light) carriers are generated somewhat quickly, and this depletion process reaches a maximum. In CV doping profiling, the voltage changes quickly enough that equilibrium is avoided, and the semiconductor goes into deep depletion.