Principal ideals in mod- ℓ Milnor K-theory

Charles Weibel, Inna Zakharevich

Research output: Contribution to journalArticlepeer-review

Abstract

Fix a symbol a̲ in the mod-ℓ Milnor K-theory of a field k, and a norm variety X for a̲. We show that the ideal generated by a̲ is the kernel of the K-theory map induced by k⊂ k(X) and give generators for the annihilator of the ideal. When ℓ= 2 , this was done by Orlov, Vishik and Voevodsky.

Original languageEnglish (US)
Pages (from-to)1033-1049
Number of pages17
JournalJournal of Homotopy and Related Structures
Volume12
Issue number4
DOIs
StatePublished - Dec 1 2017

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Geometry and Topology

Keywords

  • Milnor K-theory
  • Motives
  • Norm variety

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