Fundamental groups of proper varieties are finitely presented
Algebraic Geometry
2023-05-29 v2 Number Theory
Abstract
It was recently proven by Esnault, Shusterman and the second named author, that the \'etale fundamental group of a connected smooth projective variety over an algebraically closed field is finitely presented. In this note, we extend this result to all connected proper schemes over .
Keywords
Cite
@article{arxiv.2303.11161,
title = {Fundamental groups of proper varieties are finitely presented},
author = {Marcin Lara and Vasudevan Srinivas and Jakob Stix},
journal= {arXiv preprint arXiv:2303.11161},
year = {2023}
}
Comments
Final version, accepted for publication in Comptes Rendus Math\'ematique, https://comptes-rendus.academie-sciences.fr/mathematique. Besides various minor improvements, a new section "More general base fields" was added