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arXiv:math/0111071 [math.AG]AbstractReferencesReviewsResources

The Fundamental Group of an Algebraic Stack

V. Zoonekynd

Published 2001-11-07Version 1

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.

Comments: latex2e with xypic, 15 pages
Categories: math.AG
Subjects: 14F35, 14A20, 18B25, 20L05, 18D05
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