Author

Piotr Achinger

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Preprint Aug 2026

Tame fundamental groups of rigid spaces

We introduce the tame \'etale fundamental group $\pi_1^t(X/K)$ of a rigid space X over a non-archimedean field K. We show that if X is qcqs and K has topologically finitely generated tame Galois group (e.g. algebraically closed or a local field), then $\pi_1^t(X/K)$ is topologically finitely generated. If X is moreover...

Piotr Achinger, Katharina Hübner, Marcin Lara et al. · 0 citations