  A many-body wavefuction is postulated, which is sufficiently general to
describe superconducting pair-correlations, and/or spin-correlations, which can
occur either as long-range order or as finite-range correlations. The proposed
wave-function appears to summarize some of the more relevant aspects of the
rich phase-diagram of the high-Tc cuprates. Some of the states represented by
this wavefunction are reviewed: For superconductivity in the background of
robust anti-ferromagnetism, the Cooper-pairs are shown to be a superposition of
spinquantum numbers S=0 and S=1. If the anti-ferromagnetism is weak, a
continuous super-symmetric rotation is identified connecting s-wave
superconductivity to anti-ferromagnetism.
