2 citations · 2 across the 9 of their papers we have counts for
13 papers
Higher dimensional local class field theory
Morten Lüders
In this largely expository article we give an introduction to higher dimensional local class field theory, more precisely class field theory for smooth projective schemes over loca…
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…
Zero-cycles in families of rationally connected varieties
Morten Lüders
We study zero-cycles in families of rationally connected varieties. We show that for a smooth projective scheme over a henselian discrete valuation ring the restriction of relative…
Bloch-Ogus theory for smooth and semi-stable schemes in mixed characteristic
Morten Lüders
We study Bloch-Ogus theory and the Gersten conjecture for homology theories with duality satisfying certain properties, in particular for étale cohomology with finite coefficients…
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…
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…
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…
Algebraization for zero-cycles and the -adic cycle class map
Morten Lüders
Using an idelic argument and assuming the Gersten conjecture for Milnor K-theory, we show that the restriction map from one-cycles on a smooth projective scheme over a henselian lo…
A restriction isomorphism for zero-cycles with coefficients in Milnor K-theory
Morten Lüders
We prove a restriction isomorphism for Chow groups of zero-cycles with coefficients in Milnor K-theory for smooth projective schemes over excellent henselian discrete valuation rin…
On a base change conjecture for higher zero-cycles
Morten Lüders
We show the surjectivity of a specialisation map on higher -cycles for a smooth projective scheme over an excellent henselian discrete valuation ring. This gives evidence fo…