Jakob Stix

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math.AG2026

Tame fundamental groups of rigid spaces

Piotr Achinger, Katharina Hübner, Marcin Lara +1

We introduce the tame étale fundamental group $π_{1}^{t} (X / K)$ of a rigid space X over a non-archimedean field K. We show that if X is qcqs and K has topologically finitely generated t…

math.AG2024

Logarithmic geometry beyond fs

Piotr Achinger, Katharina HÃ¼bner, Marcin Lara +1

We develop the foundations of logarithmic structures beyond the standard finiteness conditions. The motivation is the study of semistable models over general valuation rings. The k…

math.AG2024

Magnus Carlson, Jakob Stix

Let $K$ be a sub- $p$ -adic field. We show that the functor sending a finite type $K$ -scheme to its Ã©tale topos is fully faithful after localizing at the class of universal homeomor…

Tame fundamental groups of rigid spaces

Logarithmic geometry beyond fs

The Ã©tale topos reconstructs varieties over sub-p-adic fields