Played the campaign for a while, then all of the sudden: the PC shuts down with the HDD light flashing (on the case).
It happened 2 times now, it seems to happen when I play for some while. Note that nothing else is running in the background, except for the regular Vista processes.
Strangely though, no other games do this (I can have Crysis 1 running @ very high shaders, textures, postprocessing and moblur and everything else @ medium - high without any problems, no matter how long do I play it for).
I will try to reinstall the game and install new video card drivers, but I'm not sure if that's the problem...