Fundamental groups of proper varieties are finitely presented

It was proven in [1], that the étale fundamental group of a connected smooth projective variety over an algebraically closed field $k$ is topologically finitely presented. In this note, we extend this result to all connected proper schemes over $k$.

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Bibliographic Details
Main Authors: Lara, Marcin, Srinivas, Vasudevan, Stix, Jakob
Format: Article
Language:English
Published: Académie des sciences 2024-02-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.518/
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