The pic shows a lot of dark spots particulary on the left part.

This model is not textured.
99.9 % of the objects have the same basic shader.

I though this might have something to do with some kind of accuracy setting in maya, but I have no clue.

The model here is quite simple;

There is a nurbs (or poly, I have tried that too) sub -structure, like an encasing for the main shape of the left part, with... several poly objects as laid on top of this "main-shape" to act as details (like fuselage panels and such).

There should be no problem with overlapping surfaces, but somehow maya presents it that way.

I have noticed that when two surfaces overlaps each other, then maya renders these barely interceting surfaces as black. But I assure you this is not the problem here .

There is "plenty" of space between the different objects on this left part, shown on the image.

If I make a close-up-rendering, then the problem goes away, so this is the "best" pic to show this problem.

I hope this filled in some gaps.