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math.AG2023★ 3 cited
Unramified Grothendieck-Serre for isotropic groups
Kestutis Cesnavicius, Roman Fedorov
The Grothendieck-Serre conjecture predicts that every generically trivial torsor under a reductive group over a regular semilocal ring is trivial. We establish this for unr…
math.AG2023
The analytic topology suffices for the -Grassmannian
Kestutis Cesnavicius, Alex Youcis
The -affine Grassmannian was introduced by Scholze in the context of the geometric local Langlands program in mixed characteristic and is the Fargues-Fontaine cu…