Named after Arnaldo Faustini - Italian polar geographer (1874-1944).
Faustini is a lunar crater that lies near the south pole. It is located nearly due south of the much larger crater Amundsen, and is almost attached to Shoemaker to the southwest. About one crater diameter due south is the smaller crater Shackleton at the south pole. A small crater is attached to the eastern rim. (wikipedia entry)
A crater is a circular depression likely created by an impact event. On the Moon they are named after deceased scientists, polar explorers, astronauts or cosmonauts.