The resolution property for schemes and stacks
代数几何
2007-05-23 v1
摘要
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.
引用
@article{arxiv.math/0207210,
title = {The resolution property for schemes and stacks},
author = {Burt Totaro},
journal= {arXiv preprint arXiv:math/0207210},
year = {2007}
}
备注
23 pages. To appear in J. Reine Angew. Math