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arXiv · 2609.17255

Fundamental groups of proper algebraic stacks are finitely presented

Chirantan Chowdhury·Ludvig Modin
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Abstract

Lara, Srinivas and Stix showed that the étale fundamental group of a proper scheme over an algebraically closed field is topologically finitely presented. Building on this, we show that the étale fundamental group, as introduced by Noohi, of a proper algebraic stack with finite inertia over an algebraically closed field is topologically finitely presented.

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BibTeXRIS

Chirantan Chowdhury, Ludvig Modin. 2026-09-15. Fundamental groups of proper algebraic stacks are finitely presented. https://arxiv.org/abs/2609.17255

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