English

The projective stable category of a coherent scheme

Algebraic Topology 2019-03-27 v1

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.

Keywords

Cite

@article{arxiv.1511.02907,
  title  = {The projective stable category of a coherent scheme},
  author = {Sergio Estrada and James Gillespie},
  journal= {arXiv preprint arXiv:1511.02907},
  year   = {2019}
}