What awards did the novel which precedes Count Zero win?
Count Zero:  It is the second volume of the Sprawl trilogy, which begins with "Neuromancer" and concludes with "Mona Lisa Overdrive", and is an example of the cyberpunk subgenre. Neuromancer:  It is one of the best-known works in the cyberpunk genre and the first novel to win the Nebula Award, the Philip K. Dick Award, and the Hugo Award.
Nebula Award, the Philip K. Dick Award, and the Hugo Award