Corte is a commune in the Haute-Corse department, on the island of Corsica, France. It is the fourth-largest commune in Corsica after Aja…Corte is a commune in the Haute-Corse department, on the island of Corsica, France. It is the fourth-largest commune in Corsica after Ajaccio, Bastia, and Porto-Vecchio. Corte is a subprefecture of the Haute-Corse department.