Norm Varieties and the Chain Lemma (after Markus Rost)
| dc.creator | Haesemeyer, Christian | |
| dc.creator | Weibel, Charles A. | |
| dc.date | 2008-06-20 | |
| dc.date.accessioned | 2026-07-07T09:45:54Z | |
| dc.date.available | 2026-07-07T09:45:54Z | |
| dc.description | 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. | |
| dc.identifier | https://arxiv.org/abs/0806.3421 | |
| dc.identifier | http://arxiv.org/abs/0806.3421 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/163351 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 19D45; 14C17 | |
| dc.title | Norm Varieties and the Chain Lemma (after Markus Rost) | |
| dc.type | text |