2026-04-03T22:43:40Zhttps://recercat.cat/oai/request

oai:recercat.cat:2072/3775302024-12-20T14:03:33Zcom_2072_199267com_2072_4427col_2072_199862

Cartesian modules over representations of small categories Estrada, s. Virili, s. Matemàtiques 51 We introduce the new concept of cartesian module over a pseudofunctor $ R$ from a small category to the category of small preadditive categories. Already the case when $ R$ is a (strict) functor taking values in the category of commutative rings is sufficient to cover the classical construction of quasi-coherent sheaves of modules over a scheme. On the other hand, our general setting allows for a good theory of contravariant additive locally flat functors, providing a geometrically meaningful extension of Crawley-Boevey'\''s Representation Theorem. As an application, we relate and extend some previous constructions of the pure derived category of a scheme. 2015-01-01 info:eu-repo/semantics/preprint http://hdl.handle.net/2072/377530 eng L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons:http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess 50 p. application/pdf RECERCAT (Dipòsit de la Recerca de Catalunya)