Stuart Kaminsky: Bullet for a Star (USA 1991)
From the Publisher:
Toby found the picture where he was supposed to find it. He wasn't planning to get hit on the head, though, or to find a corpse when he awoke. The first of a series of corpses, scattered all over Hollywood.
The trail Toby follows in order to clear Flynn - and himself - takes him throughout the film colony and finally onto the set of THE MALTESE FALCON, where Bogie, Lorre, and Greenstreet find themselves playing roles that aren't rehearsed - but whose execution has to be picture perfect.
Stuart M. Kaminsky: Bullet for a Star. Mysterious Press, ISBN: 0446400610 (December, 1991), 192 p., $4.99.