We review recent work on the properties of a d‐wave superconducting state in which strong Coulomb interactions suppress double occupancy. We find that pairing and phase coherence show qualitatively different trends as a function of doping: the pairing scale decreases monotonically with hole dopingxwhile the order parameter shows a non‐monotonic “dome”. We obtain detailed results for the doping‐dependences of various quantities including the momentum distribution, nodal quasiparticle weights and dispersions, optical spectral weight, and superfluid density. Our results are in remarkable agreement with existing data on the highTccuprates and some of our predictions have been recently verified. © 2003 American Institute of Physics