The global potential energy surfaces of the first six singlet electronic states of CO2, 1-3(1)A', and 1-3(1)A" are constructed using high level ab initio calculations. In linear molecule, they correspond to X̃(1)Σg (+), 1(1)Δu, 1(1)Σu (-), and 1(1)Πg. The calculations accurately reproduce the known benchmarks for all states and establish missing benchmarks for future calculations. The calculated states strongly interact at avoided crossings and true intersections, both conical and glancing. Near degeneracies can be found for each pair of six states and many intersections involve more than two states. In particular, a fivefold intersection dominates the Franck-Condon zone for the ultraviolet excitation from the ground electronic state. The seam of this intersection traces out a closed loop. All states are diabatized, and a diabatic 5 × 5 potential matrix is constructed, which can be used in quantum mechanical calculations of the absorption spectrum of the five excited singlet valence states.