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We investigate the behavior of the superconducting transition temperaturewithin a previously developed BCS-Bose Einstein crossover picture. Thispicture, based on a decoupling scheme of Kadanoff and Martin, further extendedby Patton, can be used to derive a simple form for the superconductingtransition temperature in the presence of a pseudogap. We extend previous workwhich addressed the case of s-wave pairing in jellium, to explore the solutionsfor T_c as a function of variable coupling in more physically relevantsituations. We thereby ascertain the effects of reduced dimensionality,periodic lattices and a d-wave pairing interaction. Implications for thecuprate superconductors are discussed.Comment: REVTeX, 11 pages, 6 EPS figures included, Replace with published  versio

Superconducting transitions from the pseudogap state:d-wave symmetry, lattice, and low-dimensional effects