Motivic cohomology temp

General Introduction
<]]> 
Search results
<]]> 
Online References
<]]> 
Paper References
<]]> 
Definition
<]]> 
Properties
<]]> 
Standard theorems
<]]> 
Open Problems
<]]> 
Connections to Number Theory
<]]> 
Computations and Examples
<]]> 
History and Applications
<]]> 
Some Research Articles
arXiv:1207.4078 A commutative P^1spectrum representing motivic cohomology over Dedekind domains I fra arXiv Front: math.AT av Markus Spitzweck We construct a motivic EilenbergMacLane spectrum with a highly structured multiplication over smooth schemes over Dedekind domains which represents Levine's motivic cohomology. The latter is defined via Bloch's cycle complexes. Our method is by gluing pcompleted and rational parts along an arithmetic square. Hereby the finite coefficient spectra are obtained by truncated etale sheaves (relying on the now proven BlochKato conjecture) and a variant of Geisser's version of syntomic cohomology, and the rational spectra are the ones which represent Beilinson motivic cohomology. As application the arithmetic motivic cohomology groups can be realized as Extgroups in a triangulated category of Tate sheaves with integral coefficients. These can be modelled as representations of derived fundamental groups.
<]]> 
Other Information
<]]> 
Comments Posted
<]]> 
Comments
There are no comments.