4 papers
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 -a…
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 fi…
-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 anal…
On the relative Gersten conjecture for Milnor K-theory in the smooth case
Morten Lüders
We show that the Gersten complex for the (improved) Milnor K-sheaf on a smooth scheme over an excellent discrete valuation ring is exact except at the first place and that exactnes…