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Fundamental groups of proper algebraic stacks are finitely presented

Chirantan Chowdhury, Ludvig Modin

Source record

Source: arXiv

Published: Sep 15, 2026

arXiv: 2609.17255

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Source 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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