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arXiv · 1511.02907

The projective stable category of a coherent scheme

Sergio Estrada·James Gillespie
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Abstract

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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Sergio Estrada, James Gillespie. 2015-11-09. The projective stable category of a coherent scheme. https://doi.org/10.1017/s0308210517000385

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