HPV, when infecting cells and causing them to become malignant, becomes a carcinoma of those types of cells. So in the oral environment which is lined with squamous cells, it becomes squamous cell carcinoma, variously abbreviated in the literature as SCC or OSSC (oral SCC). Have an oncogneic version of HPV (of which only a handful of the more than 112 versions cataloged so far are) does not mean that you will develop a cancer from it. Your immune system may eradicate the virus, or cells that contain it in their process of conversion, prior to the establishment of any malignancy.

http://www.oralcancerfoundation.org/HPV/index.htm

Having said that, there are anatomical sites in the oral cavity that HPV positive SCC likes to appear on; the base of the tongue and the lingual tonsils which are also on the base of the tongue, the tonsils, the tonsillar pillar, and behind that the tonsillar crypt, and lastly the oropharynx, which is the part of the pharynx that you visualize as the very back wall of your mouth. (If you look upwards from there you are looking into the nasopharynx and below that on the way down to the larynx or voice box just the pharynx itself.

These are not absolutes, and HPV positive tumors have been seen in less than 5% of the cases in other oral sites such as the anterior tongue.

HPV16 is the main bad guy, but we also see HPV33, 35, 11, and 18 occasionally - but more than 90% of the time 16 is the one. I talked with doctor Gillison at Johns Hopkins about this just this morning, as it related to eradication of HPV16 via the vaccine. My question to her was, if we eradicate HPV16 over the next generation via vaccination, would another version just take its place and cause the same numbers of oral cancers. Her answer was that in HPV type replacement opportunistically does not take place. So in the future (in a generation or more) getting rid of these cancers that are HPV caused is a reality that is possible.

The article mentioned in the above post can be read in full on the page linked to above.