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math.NT2026
Anabelian Geometry in Families
Tim Holzschuh, Alexander Schmidt, Jakob Stix
Anabelian geometry as an attempt to describe geometry in terms of étale topological data has addressed so far mainly categories of varieties over a field. In this paper we work ove…
math.AG2026
Tame fundamental groups of rigid spaces
Piotr Achinger, Katharina Hübner, Marcin Lara +1
We introduce the tame étale fundamental group 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…