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arXiv · 0806.3421

Norm Varieties and the Chain Lemma (after Markus Rost)

Christian Haesemeyer·Charles A. Weibel
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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 $K_n^M(k)/p$ and etale cohomology $H^n(k,μ_p^n)$ 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.

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Christian Haesemeyer, Charles A. Weibel. 2008-06-20. Norm Varieties and the Chain Lemma (after Markus Rost). https://arxiv.org/abs/0806.3421

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