The resolution property for schemes and stacks

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We prove the equivalence of two fundamental properties of algebraic stacks: being a quotient stack in a strong sense, and the resolution property, which says that every coherent sheaf is a quotient of some vector bundle. Moreover, we prove these properties in the important special case of orbifolds whose associated algebraic space is a scheme.
23 pages. To appear in J. Reine Angew. Math

Keywords

Algebraic Geometry, 14A20 (Primary) 14L30 (Secondary)

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/64565

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0207210
 http://arxiv.org/abs/math/0207210

Collections

arXiv