5 papers · 1 filter
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…
-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…
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…
A local to global principle for higher zero-cycles
Johann Haas, Morten Lüders
We study a local to global principle for certain higher zero-cycles over global fields. We thereby verify a conjecture of Colliot-Thélène for these cycles. Our main tool are the Ka…
Deformation theory of the Chow group of zero-cycles
Morten Lüders
We study the deformations of the Chow group of zero-cycles of the special fibre of a smooth scheme over a henselian discrete valuation ring. Our main tools are Bloch's formula and…