Abstract
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 AB\(4^{*}\)-\(n\) 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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Research supported by CNCS-UEFISCDI grant PN-II-RU-TE-2011-3-0065.
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Modoi, G.C. The dual of Brown representability for some derived categories. Ark Mat 54, 485–498 (2016). https://doi.org/10.1007/s11512-016-0239-1
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DOI: https://doi.org/10.1007/s11512-016-0239-1