Norm varieties and algebraic cobordism

Details Norm varieties and algebraic cobordism Norm varieties and algebraic cobordism

2003-04-15

arxiv.org/abs/math/0304208v1

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

Mathematics

K-Theory and Homology

Scientific paper

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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