2 papers
math.AG2024
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 homeomorp…
math.AG2024
Reconstruction of schemes from their étale topoi
Magnus Carlson, Peter J. Haine, Sebastian Wolf
Let be a field that is finitely generated over its prime field. In Grothendieck's anabelian letter to Faltings, he conjectured that sending a -scheme to its étale topos defi…