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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…
math.AG2024
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…