Fundamental Groups of Algebraic Stacks
代数几何
2007-05-23 v1 代数拓扑
摘要
We study fundamental groups of algebraic stacks. We show that these fundamental groups carry an additional structure coming from the inertia groups. Then use this additional structure to analyze geometric/ topological properties of stacks. We give an explicit formula for the fundamental group of the coarse moduli space. Also, we use these additional structures to give a necessary and sufficient for an algebraic stack to be uniformizable.
引用
@article{arxiv.math/0201021,
title = {Fundamental Groups of Algebraic Stacks},
author = {Behrang Noohi},
journal= {arXiv preprint arXiv:math/0201021},
year = {2007}
}
备注
31 pages