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.

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