The projective stable category of a coherent scheme
classification
🧮 math.AT
keywords
categorycoherentcomplexesmodelprojectivequasi-coherentschemesheaves
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We 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.
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