Norm Varieties and the Chain Lemma (after Markus Rost)

Details Norm Varieties and the Chain Lemma (after Markus Rost) Norm Varieties and the Chain Lemma (after Markus Rost)

2008-06-20

arxiv.org/abs/0806.3421v1

Mathematics

K-Theory and Homology

Scientific paper

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 $K_n^M(k)/p$ and etale cohomology $H^n(k,\mu_p^n)$ 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.

Affiliated with

Also associated with

No associations

Rating

Norm Varieties and the Chain Lemma (after Markus Rost) does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Norm Varieties and the Chain Lemma (after Markus Rost), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Norm Varieties and the Chain Lemma (after Markus Rost) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-371519