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In this note we revisit and extend few classical and recent results on thedefinition and use of the Futaki invariant in connection with the existenceproblem for Kaehler constant scalar curvature metrics on polarized algebraicmanifolds, especially in the case of resolution of singularities. The generalinspiration behind this work is no doubt the beautiful 1992 paper by Ding andTian which contains the germs of a huge amount of the successive developmentsin this fundamental problem, and it is a great pleasure to dedicate this toProfessor G. Tian on the occasion of his birthday!

Big and nef classes, Futaki Invariant and resolutions of cubic threefolds