The voltages needed to drive an LCD are called the threshold (10%)  and saturation (90%) voltages. The threshold voltage is rather linear at normal temperatures, but takes a nasty turn upward as the temperatures go down. The figure below shows the threshold voltage for a hypothetical LCD fluid.

As can be seen in the graph, the voltage needed to drive a display rises to unobtainable levels as the temperature drops. The threshold also goes down off a bit at high temperatures resulting in an overdriving condition if the driving voltage is not reduced.