The Fundamental Group of an Algebraic Stack

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We define the notion of fundamental group of an algebraic stack, prove a comparison theorem between the fundamental group of a stack over the complex numbers and that of the associated analytic orbifold, show that this notion coincides with that defined with simplicial schemes by Oda and finally prove some short exact sequences involving these groups.
latex2e with xypic, 15 pages

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Algebraic Geometry, 14F35 (primary) 14A20 18B25 20L05 18D05 (secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/62581

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0111071
 http://arxiv.org/abs/math/0111071

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arXiv