Final answer:
The Human Papillomavirus (HPV) causes warts and can lead to cervical carcinomas, making it an oncogenic virus and the most common sexually transmitted virus associated with these conditions.
Step-by-step explanation:
The virus that causes warts and may lead to cervical carcinomas is the Human Papillomavirus (HPV). HPV is one of the oncogenic viruses, which are capable of causing cancer. This group of cancers includes forms that not only affect the cervix but can also cause cancers in other parts of the reproductive system, as well as other areas of the body. Human Papillomavirus is also the most common sexually transmitted virus, known for its association with genital warts and cervical cancer.