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Norm varieties and algebraic cobordism

Markus Rost
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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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Markus Rost. 2003-04-15. Norm varieties and algebraic cobordism. https://arxiv.org/abs/math/0304208

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