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Primes and fields in
stable motivic homotopy theory
Jeremiah Heller and Kyle M Ormsby |
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Geometry & Topology 22 (2018) 2187–2218
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Abstract |
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Let be a field of characteristic different from . 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 –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. |
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Keywords
tensor triangular geometry, stable motivic homotopy theory
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Mathematical Subject Classification 2010
Primary: 14F42
Secondary: 19D45, 55P42, 18E30
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References |
Publication
Received: 19 August 2016
Revised: 19 July 2017
Accepted: 29 August 2017
Published: 5 April 2018
Proposed: Stefan Schwede
Seconded: Mark Behrens, Haynes R Miller
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Authors |
| Jeremiah Heller | |
| Department of Mathematics University of Illinois at Urbana-Champaign Urbana IL United States |
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| Kyle M Ormsby | |
| Department of Mathematics Reed College Portland OR United States |
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