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arXiv · 2303.11161

Fundamental groups of proper varieties are finitely presented

Marcin Lara·Vasudevan Srinivas·Jakob Stix
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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 $k$ is finitely presented. In this note, we extend this result to all connected proper schemes over $k$.

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Marcin Lara, Vasudevan Srinivas, Jakob Stix. 2023-03-16. Fundamental groups of proper varieties are finitely presented. https://arxiv.org/abs/2303.11161

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