5 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…
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 al…
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 group…
Nonabelian basechange theorems & étale homotopy theory
Peter J. Haine, Tim Holzschuh, Sebastian Wolf
This paper has two main goals. First, we prove nonabelian refinements of basechange theorems in étale cohomology (i.e., prove analogues of the classical statements for sheaves of s…
The fundamental fiber sequence in étale homotopy theory
Peter J. Haine, Tim Holzschuh, Sebastian Wolf
Let be a field with separable closure , and let be a qcqs -scheme. We use the theory of profinite Galois categories developed by Barwick-Glasman-Haine…