Deligne Localized Functors

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

In this paper we present the notion of ``Deligne localized functors'', an avatar of the derived functors, whose definition is inspired by Deligne in [SGA 4,XVII]. Their definition involves the notions of Ind and Pro categories, they always exist and are characterized in terms of universal properties. The classical localized functor, in the sense of Grothendieck and Verdier, exists if suitable conditions are verified for the Deligne localized functors. We apply these notions to triangulated and derived categories.
23 pages, plain TeX

Keywords

Category Theory, Algebraic Geometry, 18E25; 18E30; 18E35

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/70936

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0404405
 http://arxiv.org/abs/math/0404405

Collections

arXiv