In reply to CP: My old man spent several weeks out in greenland last summer, on the edge of the ice cap. He got plenty of great pics on digital and film. However, I don't think the temperature got much below -10C. I imagine it is somewhat colder at this time of year.
I have had problems with my didital camera in the cold, but these were solved by buying a dedicated Lithium-ion rechargeable battery for it - I've tested this at around -20C with no problems at all.
I think if it is likely to be very cold, a film camera would probably be better (so long as there is not too much moisture around to freeze in the larger number (compared to digital) of moving parts - this shouldn't be a problem in very cold weather however), simply because a film camera is less abusive to it's batteries.