# 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}
}
• G. Modoi
• Published 26 May 2013
• Mathematics
• Arkiv för Matematik
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.
9 Citations

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