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• W3104200844 abstract "To a big n-tilting object in a complete, cocomplete abelian category A with an injective cogenerator we assign a big n-cotilting object in a complete, cocomplete abelian category B with a projective generator, and vice versa. Then we construct an equivalence between the (conventional or absolute) derived categories of A and B. Under various assumptions on A, which cover a wide range of examples (for instance, if A is a module category or, more generally, a locally finitely presentable Grothendieck abelian category), we show that B is the abelian category of contramodules over a topological ring and that the derived equivalences are realized by a contramodule-valued variant of the usual derived Hom-functor." @default.
• W3104200844 created "2020-11-23" @default.
• W3104200844 creator A5049263004 @default.
• W3104200844 creator A5052123316 @default.
• W3104200844 date "2019-07-02" @default.
• W3104200844 modified "2023-10-14" @default.
• W3104200844 title "The Tilting–Cotilting Correspondence" @default.
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• W3104200844 doi "https://doi.org/10.1093/imrn/rnz116" @default.
• W3104200844 hasPublicationYear "2019" @default.
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