But: look at humans. We are each a vast empire of trillions of cells which, for the most part, work together for the survival of the whole, and which certainly possesses intelligence beyond the capabilities of the cleverest single-celled organism.
The point is, I believe superintelligence will break into factions and most of its energy will be spent for these factions fighting each other, ignoring any common goal of increasing self-improvement.
So I don't see so called "singularity" as a possibility - maybe at most as another, faster type of evolution, which will ignore humans due to its own self-centeredness and humans will not comprehend it. But just as our culture depends on nature, this superintelligence will probably depend on us (human culture) to sustain its internal struggles.