Dying Of The Light (Alice Rice Mysteries) by Gillian Galbraith

Midwinter, a freezing night in Leith, near Edinburgh's red light district. A policewoman's flashlight stabs the darkness in a snow-covered cemetery. The circle of light stops on a colourless, dead face.

So begins the hint for a serial murderer of prostitutes in the capital city, and Detective Sergeant Alice Rice is assigned to the case. It takes more than the death of one of their number to keep the working girls off the streets, and DS Rice joins them in the back lanes and waste ground, searching for evidence from the girls themselves. But, as she discovers, it is dangerous for any female to get too close to a killer who has nothing to lose.