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Birational motives and the norm residue isomorphism theorem

Bruno Kahn

Abstract

We point out a relationship between the norm residue isomorphism theorem of Suslin-Voevodsky-Rost and the theory of birational motives, as well as its generalisation to "higher jets".

Birational motives and the norm residue isomorphism theorem

Abstract

We point out a relationship between the norm residue isomorphism theorem of Suslin-Voevodsky-Rost and the theory of birational motives, as well as its generalisation to "higher jets".

Paper Structure

This paper contains 1 section, 6 theorems, 23 equations.

Table of Contents

  1. Acknowledgement

Key Result

Lemma 1

The morphism eq6 is an isomorphism if and only if $D$ is divisible by $\mathbf{Z}(n)$, i.e. if $D$ is of the form $E(n)$.

Theorems & Definitions (11)

  • Lemma 1
  • proof
  • Theorem 1
  • Corollary 1
  • proof
  • Corollary 2
  • proof : Proof of Theorem \ref{['t2']}
  • Proposition 1
  • proof
  • Lemma 2
  • ...and 1 more