The Nori fundamental gerbe of tame stacks

2015/02/25 by Biswas, Indranil, Borne, Niels
#14D23 #14F35 #53C08 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1502.07023

Abstract

Given an algebraic stack, we compare its Nori fundamental group with that of its coarse moduli space. We also study conditions under which the stack can be uniformized by an algebraic space.

Related

• Fundamental Groups of Algebraic Stacks
• The Nori fundamental gerbe of a fibered category
• A "bottom up" characterization of smooth Deligne-Mumford stacks
• The Fundamental Group of an Algebraic Stack
• The tame Nori fundamental group