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arXiv · 1605.01332

Algebraic and Nori fundamental gerbes

Fabio Tonini·Lei Zhang
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Abstract

In this paper we extend the generalized algebraic fundamental group constructed by Esnault and Hogadi to general fibered categories using the language of gerbes. As an application we obtain a Tannakian interpretation for the Nori fundamental gerbe defined by Borne and Vistoli for non smooth non pseudo-proper algebraic stacks.

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Fabio Tonini, Lei Zhang. 2016-05-04. Algebraic and Nori fundamental gerbes. https://doi.org/10.1017/s147474801700024x

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