English

On the fundamental group schemes of certain quotient varieties

Algebraic Geometry 2024-04-30 v4

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 FF-divided \cite{dS07} and essentially finite \cite{Nori76} fundamental group schemes.

Keywords

Cite

@article{arxiv.1809.06755,
  title  = {On the fundamental group schemes of certain quotient varieties},
  author = {Indranil Biswas and Phùng Hô Hai and João Pedro dos Santos},
  journal= {arXiv preprint arXiv:1809.06755},
  year   = {2024}
}

Comments

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