Vaccination Against Human Papillomavirus (HPV) With the 9-valent Vaccine in HIV-positive Women (the Papillon Study)

All patients will receive the 9-valent vaccine against HPV (Gardasil9) intramuscularly: After a first open phase evaluating tolerability of Gardasil9, women will be randomized between two different doses schedules: in the first schedule, women will receive 2 doses at time 0 and 6 months and a third dose between 18-48 months if their antibody levels are insufficient; the second schedule will be 3 doses at 0, 2 and 6 months.