@article{c6c7258b7f804b809359b80a7ef41af6,
title = "The stable category of gorenstein flat sheaves on a noetherian scheme",
abstract = "Abstrakt. For a semiseparated noetherian scheme, we show that the category of cotorsion Gorenstein flat quasi-coherent sheaves is Frobenius and a natural non-affine analogue of the category of Gorenstein projective modules over a noetherian ring. We show that this coheres perfectly with the work of Murfet and Salarian that identifies the pure derived category of F-totally acyclic complexes of flat quasi-coherent sheaves as the natural non-affine analogue of the homotopy category of totally acyclic complexes of projective modules.",
keywords = "Cotorsion sheaf, Gorenstein flat sheaf, Noetherian scheme, Stable category, Totally acyclic complex",
author = "Christensen, {Lars Winther} and Sergio Estrada and Peder Thompson",
note = "Funding Information: Received by the editors April 16, 2019, and, in revised form, April 17, 2019, June 16, 2019, and May 22, 2020. 2020 Mathematics Subject Classification. Primary 14F08; Secondary 18G35. Key words and phrases. Cotorsion sheaf, Gorenstein flat sheaf, noetherian scheme, stable category, totally acyclic complex. The first author was partly supported by Simons Foundation collaboration grant 428308. The second author was partly supported by grants PRX18/00057, MTM2016-77445-P, and 19880/GERM/15 by the Fundaci{\'o}n S{\'e}neca-Agencia de Ciencia y Tecnolog{\'i}a de la Regi{\'o}n de Mur-cia and FEDER funds. Publisher Copyright: {\textcopyright} 2020 American Mathematical Society",
year = "2021",
month = feb,
doi = "10.1090/proc/15258",
language = "English",
volume = "149",
pages = "525--538",
journal = "Proceedings of the American Mathematical Society",
issn = "0002-9939",
number = "2",
}