The tame Nori fundamental group

2023/12/12 by Biswas, Indranil, Kumar, Manish, Parameswaran, A. J.
#14H30 #14J60 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2312.07366

Abstract

We introduce three notion of tameness of the Nori fundamental group scheme for a normal quasiprojective variety X over an algebraically closed field. It is proved that these three notions agree if X admits a smooth completion with strict normal crossing divisor as the complement. We also prove a Lefschetz type restriction theorem for the tame Nori fundamental group scheme for such an X.

Related

• Fundamental group schemes of globally F-regular varieties
• The arithmetic local Nori fundamental group
• The tame fundamental group schemes of curves in positive characteristic
• On an extension of Nori and local fundamental group schemes
• A smooth counterexample to Nori's conjecture on the fundamental group scheme