Publication:
The projective stable category of a coherent scheme

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Date
2018-02-26
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Authors
Estrada, Sergio ; Gillespie, James
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Publisher
Cambridge University Press
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Matemáticas
DOI
https://doi.org/10.1017/S0308210517000385
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info:eu-repo/semantics/article
Description
©2018. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ This document is the Accepted version of a Published Work that appeared in final form in Proceedings of the Royal Society of Edinburgh Section A: Mathematics. To access the final edited and published work see https://doi.org/10.1017/S0308210517000385
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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Coherent scheme , Gorenstein flat , Quasi-coherent sheaf , Abelian model structure
Citation
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 149 , Issue 1 , February 2019 , pp. 15 - 43
URI
http://hdl.handle.net/10201/137382
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