Norm Varieties and the Chain Lemma (after Markus Rost)
K-Theory and Homology
2008-06-23 v1 Algebraic Geometry
Abstract
The goal of this paper is to present proofs of two results of Markus Rost: the Chain Lemma and the Norm Principle. These are the final steps needed to complete the publishable verification of the Bloch-Kato conjecture, that the norm residue maps are isomorphisms between Milnor K-theory and etale cohomology for every prime p, every n and every field k containing 1/p. Our proofs of these two results are based on Rost's 1998 preprints, his web site and Rost's lectures at the Institute for Advanced Study in 1999-2000 and 2005.
Cite
@article{arxiv.0806.3421,
title = {Norm Varieties and the Chain Lemma (after Markus Rost)},
author = {Christian Haesemeyer and Charles A. Weibel},
journal= {arXiv preprint arXiv:0806.3421},
year = {2008}
}