The Fundamental Group of an Algebraic Stack

Details The Fundamental Group of an Algebraic Stack The Fundamental Group of an Algebraic Stack

2001-11-07

arxiv.org/abs/math/0111071v1

Mathematics

Algebraic Geometry

latex2e with xypic, 15 pages

Scientific paper

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.

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