3 papers
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.AG2025
On the real Section Conjecture in étale homotopy theory
Tim Holzschuh
We study the Section Conjecture in étale homotopy theory for varieties over . We prove its pro- variant for equivariantly triangulable varieties. Examples include a…
math.AG2025
The condensed homotopy type of a scheme
Peter J. Haine, Tim Holzschuh, Marcin Lara +3
We study a condensed version of the étale homotopy type of a scheme, which refines both the usual étale homotopy type of Friedlander-Artin-Mazur and the proétale fundamental gro…