Norm varieties and algebraic cobordism

2003/04/15 by Markus Rost · 1 citation
Mathematics · #math.KT #msc:12G05

paper · pdf

published as Proceedings of the ICM, Beijing 2002, vol. 2, 77--86

arxiv created 2003/04/15 · arxiv updated 2009/11/30

Abstract

We outline briefly results and examples related with the bijectivity of the norm residue homomorphism. We define norm varieties and describe some constructions. We discuss degree formulas which form a major tool to handle norm varieties. Finally we formulate Hilbert's 90 for symbols which is the hard part of the bijectivity of the norm residue homomorphism, modulo a theorem of Voevodsky.

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• Varieties and pure symbols

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