Paclitaxel and Cisplatin in Treating Patients With Stage III or Stage IV Ovarian Cancer or Primary Peritoneal Cancer

DISEASE CHARACTERISTICS: Histologically confirmed primary ovarian epithelial cancer or primary peritoneal cancer Suboptimal residual disease within 6 weeks of laparotomy with maximum resection Stage III residual retroperitoneal disease greater than 1 cm and no greater than 1 cm residual intraperitoneal disease OR Stage IV disease The following histologies are eligible: Serous adenocarcinoma Malignant Brenner's tumor Mucinous adenocarcinoma Endometrioid adenocarcinoma Undifferentiated carcinoma Clear cell adenocarcinoma Mixed epithelial carcinoma Transitional cell carcinoma Adenocarcinoma not otherwise specified Measurable disease not required Cytologic confirmation of malignant pleural effusion required if sole basis of entry No borderline (low malignant potential) carcinoma No unclassified ovarian cancer, i.e., thought to be of ovarian origin but unexplored or unable to verify tumor arising from ovarian stroma PATIENT CHARACTERISTICS: Age: 18 and over Performance status: GOG 0-2 Hematopoietic: WBC at least 3,000/mm3 Absolute granulocyte count at least 1,500/mm3 Platelet count at least 100,000/mm3 Hepatic: Bilirubin no greater than 1.5 times normal AST, ALT, and GGT no greater than 3 times normal Alkaline phosphatase no greater than 3 times normal LDH no greater than 3 times normal No acute hepatitis Renal: Creatinine no greater than 2 mg/dL Cardiovascular: No history of congestive heart failure No history of unstable angina No myocardial infarction within 6 months Other: No severe infection, including septicemia No severe gastrointestinal bleeding No history of second malignancy within 5 years except nonmelanomatous skin cancer Not pregnant or nursing Fertile patients must use effective contraception PRIOR CONCURRENT THERAPY: Biologic therapy: Not specified Chemotherapy: No prior cytotoxic chemotherapy Endocrine therapy: Not specified Radiotherapy: No prior radiotherapy Surgery: See Disease Characteristics No more than 6 weeks since staging laparotomy and primary cytoreductive surgery