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math.AG2024
On analogues of the Kato conjectures and proper base change for -cycles on rationally connected varieties
Morten Lüders
In 1986, Kato set up a framework of conjectures relating (higher) -cycles and étale cohomology for smooth projective schemes over finite fields or rings of integers in local fie…
math.AG2024
-adic tame Tate twists
Morten Lüders
Recently, Hübner-Schmidt defined the tame site of a scheme. We define -adic tame Tate twists in the tame topology and prove some first properties. We establish a framework analo…
math.AG2024
The Gersten conjecture for -adic étale Tate twists and the -adic cycle class map
Morten Lüders
We prove the Gersten conjecture for -adic étale Tate twists for a smooth scheme in mixed characteristic in the Nisnevich topology. Our main observation is that, while -ad…