English

Norm varieties and algebraic cobordism

K-Theory and Homology 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0304208,
  title  = {Norm varieties and algebraic cobordism},
  author = {Markus Rost},
  journal= {arXiv preprint arXiv:math/0304208},
  year   = {2007}
}