# The dual of Brown representability for some derived categories

@article{Modoi2013TheDO, title={The dual of Brown representability for some derived categories}, author={George Ciprian Modoi}, journal={Arkiv f{\"o}r Matematik}, year={2013}, volume={54}, pages={485-498} }

Consider a complete abelian category which has an injective cogenerator. If its derived category is left-complete we show that the dual of this derived category satisfies Brown representability. In particular, this is true for the derived category of an abelian AB4∗$4^{*}$-n$n$ category and for the derived category of quasi-coherent sheaves over a nice enough scheme, including the projective finitely dimensional space.

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