Primes and fields in stable motivic homotopy theory

Heller, Jeremiah¹ ; Ormsby, Kyle²

¹ Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL, United States
² Department of Mathematics, Reed College, Portland, OR, United States

Geometry & topology, Tome 22 (2018) no. 4, pp. 2187-2218.

Résumé

Let $F$ be a field of characteristic different from $2$. We establish surjectivity of Balmer’s comparison map

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.

Détail

DOI : 10.2140/gt.2018.22.2187

Classification : 14F42, 19D45, 55P42, 18E30
Keywords: tensor triangular geometry, stable motivic homotopy theory

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