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Cognomen Genese (Genese , Genesa ) , in all the world, is quite a rare last name. The last name Genese is characteristic of Philippines, where it is quite a rare surname, United Arab Emirates, where it is a rare surname, and Saudi Arabia. In absolute terms, the name is most common in Philippines, Ethiopia, and the United States. More prevalently, Genese is the forename as well as the last name.