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arXiv:math/0207210 [math.AG]AbstractReferencesReviewsResources

The resolution property for schemes and stacks

Burt Totaro

Published 2002-07-23Version 1

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.

Comments: 23 pages. To appear in J. Reine Angew. Math
Categories: math.AG
Subjects: 14A20, 14L30
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