In reply to Gavin:
Gas stove/ blowtorch and an old heavy kitchen knife . This works well on single ropes , larger should not be a problem.
I also have a mini blow torch, ballpoint pen size, about £4 off fleebay , that you can refill with ciggy lighter gas. That would also make short work of the job, albeit a bit less neatly. It has a 4mm wide, 40mm long flame.
There is also the cavers trick of cutting a nylon climbing rope with a length of thin cord.
Frightening when you first see it done.
Post edited at 13:11