Browsing by Subject "Abelian model structure"
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- PublicationOpen AccessQuillen equivalences for stable categories(ScienceDirect, 2018-05-01) Dalezios, Georgios; Estrada, Sergio; Holm, Henrik; MatemáticasFor an abelian category A we investigate when the stable categories St(GProj(A))and St(GInj(A)) are triangulated equivalent. To this end, we realize these stable categories as homotopy categories of certain (non-trivial) model categories and give conditions on A that ensure the existence of a Quillen equivalence between the model categories in question. We also study when such a Quillen equivalence transfers from A to the category of chain complexes in A.
- PublicationOpen AccessThe projective stable category of a coherent scheme(Cambridge University Press, 2018-02-26) Estrada, Sergio; Gillespie, James; MatemáticasWe define the projective stable category of a coherent scheme. It is the homotopy category of an abelian model structure on the category of unbounded chain complexes of quasi-coherent sheaves. We study the cofibrant objects of this model structure, which are certain complexes of flat quasi-coherent sheaves satisfying a special acyclicity condition.