It is shown here that the band structure and Fermi surface of Bi₂Sr₂CaCu₂O_{8+ delta}, recently measured by angle-resolved photoemission spectroscopy, can be obtained via an extended three-band Hubbard model, within the unrestricted Hartree-Fock approximation, provided oxygen-oxygen hopping is included and the oxygen-copper hopping is reduced below a critical value. This applies to other copper oxides provided that the appropriate parameters are considered for each compound. The results agree remarkably well with earlier local density calculations and spectroscopic measurements.