On the fundamental group schemes of certain quotient varieties

Abstract

In \cite{armstrong}, M. Armstrong proved a beautiful result describing fundamental groups of quotient spaces. In this paper we prove an analogue of Armstrong's theorem in the setting of $F$-divided \cite{dS07} and essentially finite \cite{Nori76} fundamental group schemes.

arXiv commentThis version of April 2024 clears an error in the statement of the main Theorems, which unfortunately also appears in the printed version

References in corpus (5)

• On Nori's Fundamental Group Scheme
• An analogue of the Narasimhan-Seshadri theorem and some applications
• Algebraic and Nori fundamental gerbes
• $F$-divided sheaves trivialized by dominant maps are essentially finite
• Simply connected varieties in characteristic $p>0$

Cited by in corpus (2)

• Nori fundamental gerbe of essentially finite covers and Galois closure of towers of torsors
• On certain Tannakian categories of integrable connections over Kaehler manifolds