Piotr Achinger

activity

20102026

most citedWild ramification and K(pi, 1) spaces

19 citations · 56 across the 20 of their papers we have counts for

collaborators

25 papers

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.AG2025

Compactly supported $p$ -adic pro-étale cohomology of analytic varieties

Piotr Achinger, Sally Gilles, Wiesława Nizioł

We study properties of compactly supported $p$ -adic pro-étale cohomology of smooth partially proper rigid analytic varieties. In particular, we prove a comparison theorem, in a sta…

math.AG2024

Logarithmic geometry beyond fs

Piotr Achinger, Katharina Hübner, 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

Beauville-Laszlo gluing of algebraic spaces

Piotr Achinger, Alex Youcis

For a complete discrete valuation field $K$ , we show that one may always glue a separated formal algebraic space $X$ over $O_{K}$ to a separated algebraic space…

math.AG2023

Topological rigidity of maps in positive characteristic and anabelian geometry

Piotr Achinger, Jakob Stix

We study pairs of non-constant maps between two integral schemes of finite type over two (possibly different) fields of positive characteristic. When the target is quasi-affine, Ta…