HPV virus stands for human papillomavirus. When most people think about HPV they think about genital warts. There are actually many types of human papillomavirus but just 40 of them cause genital warts. The CDC says that even if you only have sex with one person in your life you will probably get HPV, because the virus is so common. The virus can be transmitted even when the infected person has no symptoms at all. Some types of human papillomavirus can lead to cancer.