OUTLINE: This is a randomized study. Patients undergo a laparotomy and platinum based chemotherapy prior to randomization. Patients are randomized to 1 of 2 treatment arms: Arm I: Patients receive OvaRex monoclonal antibody B43.13 IV on day 0. Treatment continues at 4, 8, 20, 32, 44, and 56 weeks, and then every 3 months in the absence of disease progression or unacceptable toxicity. Arm II: Patients receive placebo IV on day 0. Placebo administration continues on the same schedule as in arm I. Patients presenting with relapse are provided with second line chemotherapy. Quality of life is assessed at the beginning of the study, after 2 months, and then every 3 months thereafter. Patients are followed every 3 months.