Fundamental groups of proper varieties are finitely presented

It was recently proven by Esnault, Shusterman and the second named author, that the étale fundamental group of a connected smooth projective variety over an algebraically closed field \(k\) is finitely presented. In this note, we extend this result to all connected proper schemes over \(k\).

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Bibliographic Details
Published in:arXiv.org 2023-05
Main Authors: Lara, Marcin, Vasudevan Srinivas, Stix, Jakob
Format: Article
Language:English
Online Access:Get full text
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Summary:It was recently proven by Esnault, Shusterman and the second named author, that the étale fundamental group of a connected smooth projective variety over an algebraically closed field \(k\) is finitely presented. In this note, we extend this result to all connected proper schemes over \(k\).
ISSN:2331-8422