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From the wikipedia page:

http://en.wikipedia.org/wiki/Motive_(algebraic_geometry)

it appears that the category of Mixed motives $MM(k)$ over a field $k$ is still conjectural; but there is a good derived category $DMM(k)$ already constructed for this.

What is a good reference for this construction, and why this derived category is the "suitable" one.

2 Answers 2