4 papers
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…
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…
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…
The étale topos reconstructs varieties over sub-p-adic fields
Magnus Carlson, Jakob Stix
Let be a sub--adic field. We show that the functor sending a finite type -scheme to its étale topos is fully faithful after localizing at the class of universal homeomor…