The projective stable category of a coherent scheme

Estrada, Sergio; Gillespie, James

Publication:
The projective stable category of a coherent scheme

dc.contributor.author	Estrada, Sergio
dc.contributor.author	Gillespie, James
dc.contributor.department	Matemáticas
dc.date.accessioned	2024-01-17T13:08:05Z
dc.date.available	2024-01-17T13:08:05Z
dc.date.issued	2018-02-26
dc.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	es
dc.description.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.	es
dc.format	application/pdf	es
dc.format.extent	27	es
dc.identifier.citation	Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 149 , Issue 1 , February 2019 , pp. 15 - 43
dc.identifier.doi	https://doi.org/10.1017/S0308210517000385
dc.identifier.issn	0308-2105
dc.identifier.issn	1473-7124
dc.identifier.uri	http://hdl.handle.net/10201/137382
dc.language	eng	es
dc.publisher	Cambridge University Press	es
dc.relation	The authors are grateful to the Institut Henri Poincaré for support through the ‘Research in Paris’ programme. Sergio Estrada is supported by the Grant no. MTM2016- 77445-P and FEDER funds.	es
dc.relation.publisherversion	https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/article/abs/projective-stable-category-of-a-coherent-scheme/D6941AEB31F5C8AB0D92009F05480800	es
dc.rights	info:eu-repo/semantics/openAccess	es
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Coherent scheme	es
dc.subject	Gorenstein flat	es
dc.subject	Quasi-coherent sheaf	es
dc.subject	Abelian model structure	es
dc.subject.other	CDU::5 - Ciencias puras y naturales	es
dc.title	The projective stable category of a coherent scheme	es
dc.type	info:eu-repo/semantics/article	es
dspace.entity.type	Publication	es