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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…
math.AT2024
Profinite completions of products
Peter J. Haine
A source of difficulty in profinite homotopy theory is that the profinite completion functor does not preserve finite products. In this note, we provide a new, checkable criterion…
math.AT2024
Exodromy beyond conicality
Peter J. Haine, Mauro Porta, Jean-Baptiste Teyssier
We show that compact subanalytic stratified spaces and algebraic stratifications of real varieties have finite exit-path -categories, refining classical theorems of Lefsche…