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math.AG2024
Logarithmic geometry beyond fs
Piotr Achinger, Katharina Hübner, Marcin Lara +1
We develop the foundations of logarithmic structures beyond the standard finiteness conditions. The motivation is the study of semistable models over general valuation rings. The k…
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 universal homeomorphisms. This g…