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Norm Varieties and the Chain Lemma (After Markus Rost)

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Algebraic Topology

Part of the book series: Abel Symposia ((ABEL,volume 4))

Abstract

The goal of this paper is to present proofs of two results of Markus Rost, the Chain Lemma 1 and the Norm Principle 3. These are the steps needed to complete the published verification of the Bloch– Kato conjecture, that the norm residue maps are isomorphisms for every prime p, every n and every field k containing 1/ p.

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References

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Correspondence to Christian Haesemeyer .

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Haesemeyer, C., Weibel, C. (2009). Norm Varieties and the Chain Lemma (After Markus Rost). In: Baas, N., Friedlander, E., Jahren, B., Østvær, P. (eds) Algebraic Topology. Abel Symposia, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01200-6_6

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