The resolution property for schemes and stacks

Abstract

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

Cited by in corpus (2)

• A correction to the paper "Log Abundance Theorem for Threefolds"
• Euivalences of derived catgories of sheaves on smooth stacks