Primes and fields in stable motivic homotopy theory

Jeremiah Heller, Kyle M. Ormsby

Research output: Contribution to journalArticlepeer-review


Let F be a field of characteristic different from 2. We establish surjectivity of Balmer’s comparison map ρ•∙: Spc(SHA1(F)c) → Spech(KMW(F)) from the tensor triangular spectrum of the homotopy category of compact motivic spectra to the homogeneous Zariski spectrum of Milnor-Witt K-theory. We also comment on the tensor triangular geometry of compact cellular motivic spectra, producing in particular novel field spectra in this category. We conclude with a list of questions about the structure of the tensor triangular spectrum of the stable motivic homotopy category.

Original languageEnglish (US)
Pages (from-to)2187-2218
Number of pages32
JournalGeometry and Topology
Issue number4
StatePublished - Apr 5 2018


  • Stable motivic homotopy theory
  • Tensor triangular geometry

ASJC Scopus subject areas

  • Geometry and Topology


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