4 papers
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…
Milnor -theory of -adic rings
Morten Lüders, Matthew Morrow
We study the mod Milnor -groups of -adically complete and -henselian rings, establishing in particular a Nesterenko-Suslin style description in terms of the Milnor r…
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…