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We consider the slave-fermion Schwinger-boson decomposition of an effectivemodel obtained through a systematic low-energy reduction of the three-bandHubbard Hamiltonian. The model includes a three-site term t'' similar to thatobtained in the large-U limit of the Hubbard model but of opposite sign forrealistic or large O-O hopping. For parameters close to the most realistic onesfor the cuprates, the mean-field solution exhibits d+s superconductivity(predominantly d_{x^2-y^2}) with a dependence on doping x very similar to theexperimentally observed. We also obtained incommensurate peaks at wave vectorsnear $\pi (1,1 +(-) 2x)$ in the spin structure factor, which also agree withexperiment.Comment: 9 pages, latex, 2 figures, to appear in Europhys. Let

Superconductivity and incommensurate spin fluctuations in a generalized t-J model for the cuprates