Fundamental Groups of Algebraic Stacks

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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.
31 pages

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Algebraic Geometry, Algebraic Topology

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http://salesiana.dossiersoluciones.com/handle/123456789/63036

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0201021
 http://arxiv.org/abs/math/0201021

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arXiv